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Periodic solutions and homogenization of non linear variational problems

https://doi.org/10.1007/bf02417888
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Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/bf02418003openalex-snapshot
Sulla convergenza delle soluzioni di disequazioni variazionali
inferredcites →https://doi.org/10.1007/bfb0088745openalex-snapshot
Asymptotic behaviour of solutions of variational inequalities with highly oscillating coefficients
inferredcites →https://doi.org/10.1016/0020-7225(74)90062-7openalex-snapshot
Comportements local et macroscopique d'un type de milieux physiques heterogenes
inferredcites →https://doi.org/10.48550/arxiv.math/0210389openalex-snapshot
Infinite geodesic rays in the space of Kahler potentials

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inferred← citeshttps://doi.org/10.1007/1-4020-2623-4_8openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-1-4612-1728-2_11openalex-snapshot
Fine Properties of Solutions to Conductivity Equations With Applications to Composites
inferred← citeshttps://doi.org/10.1007/978-1-4684-6787-1_7openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-031-53740-0_6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-642-12667-3_14openalex-snapshot
Macroscopic Stability Analysis in Periodic Composite Solids
inferred← citeshttps://doi.org/10.1007/978-3-7091-2662-2_3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/978-3-7091-2662-2_4openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00284506openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00377660openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf00380256openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01187895openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01261182openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01448361openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01580760openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01760826openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01761485openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf01762357openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02411687openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bf02790260openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0076701openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/bfb0076714openalex-snapshot
Stochastic homogenization and ergodic theory
inferred← citeshttps://doi.org/10.1007/s00030-010-0080-3openalex-snapshot
Deterministic homogenization of integral functionals with convex integrands
inferred← citeshttps://doi.org/10.1007/s00161-006-0025-6openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00205-004-0335-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00205-011-0438-7openalex-snapshot
On the Commutability of Homogenization and Linearization in Finite Elasticity
inferred← citeshttps://doi.org/10.1007/s00205-016-0992-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00205-018-1247-zopenalex-snapshot
Quantitative Homogenization in Nonlinear Elasticity for Small Loads
inferred← citeshttps://doi.org/10.1007/s00205-019-01418-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00205-023-01895-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00205-024-02053-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00209-008-0302-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00245-007-9012-yopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-017-1171-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-017-1261-2openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s00526-025-03177-1openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s005260050057openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s10659-005-1405-zopenalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11587-006-0003-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1007/s11831-008-9028-8openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0022-5096(91)90030-ropenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0362-546x(84)90077-4openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0362-546x(90)90102-mopenalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0362-546x(90)90145-7openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/0362-546x(94)90164-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2012.12.018openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2016.01.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.cma.2018.01.020openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.compositesb.2010.12.006openalex-snapshot
A theoretical and numerical stability analysis for composite micro-structures by using homogenization theory
inferred← citeshttps://doi.org/10.1016/j.compstruc.2012.02.008openalex-snapshot
Parameter identification for two-phase nonlinear composites
inferred← citeshttps://doi.org/10.1016/j.crma.2004.03.028openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.crma.2010.12.012openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.euromechsol.2023.105033openalex-snapshot
Soft elastic composites: Microstructure evolution, instabilities and relaxed response by domain formation
inferred← citeshttps://doi.org/10.1016/j.ijnonlinmec.2011.06.012openalex-snapshot
A finite-strain constitutive theory for electro-active polymer composites via homogenization
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2010.06.013openalex-snapshot
An investigation on microscopic and macroscopic stability phenomena of composite solids with periodic microstructure
inferred← citeshttps://doi.org/10.1016/j.jde.2023.01.044openalex-snapshot
Space-time homogenization for nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.jmps.2005.10.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2006.11.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2008.03.004openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2010.11.004openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2015.07.007openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2018.05.006openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.jmps.2022.104889openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.matpur.2008.02.002openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.mechmat.2003.08.004openalex-snapshot
Compressive behavior of an idealized EPS lightweight concrete: size effects and failure mode
inferred← citeshttps://doi.org/10.1016/j.mechmat.2003.11.003openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.mechrescom.2026.104717openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/j.nonrwa.2019.04.011openalex-snapshot
Convergence rates on periodic homogenization of p-Laplace type equations
inferred← citeshttps://doi.org/10.1016/s0020-7683(02)00172-5openalex-snapshot
Foam mechanics: nonlinear response of an elastic 3D-periodic microstructure
inferred← citeshttps://doi.org/10.1016/s0022-5096(03)00104-2openalex-snapshot
Second-order estimate of the macroscopic behavior of periodic hyperelastic composites: theory and experimental validation
inferred← citeshttps://doi.org/10.1016/s0045-7825(02)00391-2openalex-snapshot
Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction
inferred← citeshttps://doi.org/10.1016/s0294-1449(16)30233-5openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0294-1449(16)30335-3openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0294-1449(98)80120-0openalex-snapshot
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inferred← citeshttps://doi.org/10.1016/s0362-546x(01)00788-xopenalex-snapshot
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inferred← citeshttps://doi.org/10.1017/prm.2026.10125openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0308210506000709openalex-snapshot
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inferred← citeshttps://doi.org/10.1017/s0956792525100077openalex-snapshot
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inferred← citeshttps://doi.org/10.1021/acs.energyfuels.2c03470openalex-snapshot
Recent Advances in Multiscale Digital Rock Reconstruction, Flow Simulation, and Experiments during Shale Gas Production
inferred← citeshttps://doi.org/10.1023/b:apom.0000027219.35966.10openalex-snapshot
Bounds and Numerical Results for Homogenized Degenerated p-Poisson Equations
inferred← citeshttps://doi.org/10.1051/cocv/2009025openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/cocv:2005031openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an/1989230100531openalex-snapshot
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inferred← citeshttps://doi.org/10.1051/m2an/1990240506271openalex-snapshot
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inferred← citeshttps://doi.org/10.1063/1.368027openalex-snapshot
New approximation for the effective energy of nonlinear conducting composites
inferred← citeshttps://doi.org/10.1080/00036817808839219openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/00036818408839518openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/00036819208840053openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/00036819208840144openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/03605300701743855openalex-snapshot
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inferred← citeshttps://doi.org/10.1080/03605308208820235openalex-snapshot
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inferred← citeshttps://doi.org/10.1093/amrx/abn001openalex-snapshot
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inferred← citeshttps://doi.org/10.1098/rspa.1997.0044openalex-snapshot
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inferred← citeshttps://doi.org/10.1098/rspa.1999.0472openalex-snapshot
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inferred← citeshttps://doi.org/10.1098/rspa.2015.0365openalex-snapshot
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inferred← citeshttps://doi.org/10.1098/rsta.1992.0079openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0152076openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/040620898openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0521023openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/0523084openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/060676647openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/16m1097705openalex-snapshot
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inferred← citeshttps://doi.org/10.1137/s0036141000370260openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/9789812709356_0004openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218202500000057openalex-snapshot
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inferred← citeshttps://doi.org/10.1142/s0218202595000322openalex-snapshot
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inferred← citeshttps://doi.org/10.1177/1081286504038467openalex-snapshot
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inferred← citeshttps://doi.org/10.1177/10812865261416109openalex-snapshot
Homogenization and dimensional reduction for nonlinear multilayered plates including biological growth when the plate thickness and the size of the heterogeneities are not of the same order of magnitude
inferred← citeshttps://doi.org/10.1201/9781439801765-bopenalex-snapshot
References
inferred← citeshttps://doi.org/10.1512/iumj.2001.50.1832openalex-snapshot
Univalent solutions of an elliptic system of partial differential equations arising in homogenization
inferred← citeshttps://doi.org/10.1512/iumj.2007.56.2869openalex-snapshot
The limit behavior of a family of variational multiscale problems
inferred← citeshttps://doi.org/10.20347/wias.preprint.2460openalex-snapshot
Stochastic unfolding and homogenization
inferred← citeshttps://doi.org/10.2422/2036-2145.2011.3.04openalex-snapshot
Homogenization of processes in nonlinear visco-elastic composites
inferred← citeshttps://doi.org/10.3233/asy-1990-3204openalex-snapshot
Convergence of minima for nonequicoercive Bohr-like almost-periodic functionals
inferred← citeshttps://doi.org/10.3233/asy-1992-5502openalex-snapshot
Some cases of homogenization with unbounded oscillating constraints on the gradient
inferred← citeshttps://doi.org/10.3233/asy-2010-1017openalex-snapshot
On the interplay of two-scale convergence and translation
inferred← citeshttps://doi.org/10.3233/asy-2010-1019openalex-snapshot
Cahn–Hilliard equations with memory and dynamic boundary conditions
inferred← citeshttps://doi.org/10.3233/asy-2011-1038openalex-snapshot
Stochastic two-scale convergence of an integral functional
inferred← citeshttps://doi.org/10.3233/asy-2012-1143openalex-snapshot
Scale-transformations and homogenization of maximal monotone relations with applications
inferred← citeshttps://doi.org/10.33540/907openalex-snapshot
Variational analysis of multiscale problems with differential constraints
inferred← citeshttps://doi.org/10.3934/dcds.2015.35.2763openalex-snapshot
Weak structural stability of pseudo-monotone equations
inferred← citeshttps://doi.org/10.3934/dcdss.2017003openalex-snapshot
A note on $3$d-$1$d dimension reduction with differential constraints
inferred← citeshttps://doi.org/10.3934/nhm.2013.8.541openalex-snapshot
Homogenization of hexagonal lattices
inferred← citeshttps://doi.org/10.4213/sm1286openalex-snapshot
Осреднение вариационных неравенств для задач с препятствием
inferred← citeshttps://doi.org/10.68381/jca1019openalex-snapshot
Multiscale Relaxation of Convex Functionals
inferred← citeshttps://doi.org/10.68381/jca17034openalex-snapshot
Homogenization of Non-Linear Functionals with Laminate-Type Growth
inferred← citeshttps://doi.org/10.68381/jca18067openalex-snapshot
An Homogenization Result in W 1,p × L q
inferred← citeshttps://doi.org/10.70675/da3d2c94zd0bcz4873z9362z15d0c377fe68openalex-snapshot
Topics in the mathematics of disordered media
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