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Calculus of Variations, Homogenization and Continuum Mechanics

https://doi.org/10.1142/2375
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-0-387-55249-1openalex-snapshot
Direct Methods in the Calculus of Variations
inferredcites →https://doi.org/10.1007/978-1-4612-1015-3openalex-snapshot
Weakly Differentiable Functions: Sobolev Spaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/bf00276295openalex-snapshot
One-dimensional variational problems whose minimizers do not satisfy the Euler-Lagrange equation
inferredcites →https://doi.org/10.1007/bf01172794openalex-snapshot
The dirichlet energy of mappings with values into the sphere
inferredcites →https://doi.org/10.1007/bf01205490openalex-snapshot
Harmonic maps with defects
inferredcites →https://doi.org/10.1007/bf01759320openalex-snapshot
Comparison results for some types of relaxation of variational integral functionals
inferredcites →https://doi.org/10.1016/0022-1236(92)90038-kopenalex-snapshot
Interpretation of the Lavrentiev phenomenon by relaxation
inferredcites →https://doi.org/10.1016/0362-546x(94)90165-1openalex-snapshot
Relaxation of degenerate variational integrals
inferredcites →https://doi.org/10.1017/s0308210500015006openalex-snapshot
The gap phenomenon for variational integrals in Sobolev spaces
inferredcites →https://doi.org/10.1090/s0002-9947-1961-0138018-9openalex-snapshot
On the Definition and Properties of Certain Variational Integrals
inferredcites →https://doi.org/10.1090/s0002-9947-1985-0779053-3openalex-snapshot
Regularity Properties of Solutions to the Basic Problem in the Calculus of Variations
inferredcites →https://doi.org/10.68381/jca01002openalex-snapshot
Gap Phenomenon for Some Autonomous Functionals

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/1-4020-2623-4_10openalex-snapshot
Optimal Design in 2-D Conductivity for Quadratic Functionals in the Field
inferred← citeshttps://doi.org/10.1007/1-4020-2623-4_7openalex-snapshot
Homogenization and Design of Functionally Graded Composites for Stiffness and Strength
inferred← citeshttps://doi.org/10.1007/1-4020-4752-5_14openalex-snapshot
Optimal Design with Small Contrast
inferred← citeshttps://doi.org/10.1007/978-0-8176-4897-8_6openalex-snapshot
Discretization of Coefficient Control Problems with a Nonlinear Cost in the Gradient
inferred← citeshttps://doi.org/10.1007/978-3-642-45780-7_15openalex-snapshot
Error Bounds for Regularized Complementarity Problems
inferred← citeshttps://doi.org/10.1007/s00158-006-0089-8openalex-snapshot
Optimal design of composite structures for strength and stiffness: an inverse homogenization approach
inferred← citeshttps://doi.org/10.1007/s00526-014-0762-5openalex-snapshot
Some smoothness results for the optimal design of a two-composite material which minimizes the energy
inferred← citeshttps://doi.org/10.1007/s10107-007-0114-8openalex-snapshot
Convex analysis can be helpful for the asymptotic analysis of monotone operators
inferred← citeshttps://doi.org/10.1016/j.cma.2006.01.012openalex-snapshot
Optimization of composite structures subject to local stress constraints
inferred← citeshttps://doi.org/10.1016/j.compositesa.2004.11.015openalex-snapshot
Optimum linear and nonlinear viscoelastic designer functionally graded materials—Characterizations and analysis
inferred← citeshttps://doi.org/10.1016/s0079-6425(02)00013-0openalex-snapshot
Computational electromagnetics and the rational design of new dielectric heterostructures
inferred← citeshttps://doi.org/10.1016/s0266-352x(02)00004-6openalex-snapshot
A simplified homogenisation method for composite soils
inferred← citeshttps://doi.org/10.1016/s0294-1449(02)00002-1openalex-snapshot
Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a domain with fine-grained boundary
inferred← citeshttps://doi.org/10.1016/s0764-4442(00)88569-9openalex-snapshot
Homogenization of the Dirichlet problem for a system of quasilinear elliptic equations in a perforated domain
inferred← citeshttps://doi.org/10.1016/s0921-4526(03)00457-5openalex-snapshot
Configurations of nonlinear materials with electric fields that minimize Lp norms
inferred← citeshttps://doi.org/10.1016/s1631-073x(02)02231-8openalex-snapshot
Necessary conditions for extremals of Blake & Zisserman functional
inferred← citeshttps://doi.org/10.1017/s0308210500029875openalex-snapshot
Homogenisation of Dirichlet problems for monotone operators in varying domains
inferred← citeshttps://doi.org/10.1080/01495739.2011.564010openalex-snapshot
Equivalences and Contrasts of Thermo-Elasticity and Thermo-Viscoelasticity: A Comprehensive Critique
inferred← citeshttps://doi.org/10.1088/0022-3727/39/7/s02openalex-snapshot
Modelling and simulation of dielectric heterostructures: a physical survey from an historical perspective
inferred← citeshttps://doi.org/10.1090/s1079-6762-01-00096-8openalex-snapshot
Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design
inferred← citeshttps://doi.org/10.1142/s0218202509004042openalex-snapshot
FRACTURE MECHANICS IN PERFORATED DOMAINS: A VARIATIONAL MODEL FOR BRITTLE POROUS MEDIA
inferred← citeshttps://doi.org/10.1142/s0218202511500278openalex-snapshot
GUIDING CENTER DRIFT INDUCED BY HOMOGENIZATION
inferred← citeshttps://doi.org/10.1142/s0219530512500200openalex-snapshot
OPTIMAL DESIGN FOR MULTIMATERIALS
inferred← citeshttps://doi.org/10.1201/9781439801765-bopenalex-snapshot
References
inferred← citeshttps://doi.org/10.3934/dcds.2005.12.303openalex-snapshot
Homogenization of second order equation with spatial dependent coefficient
inferred← citeshttps://doi.org/10.4213/sm154openalex-snapshot
Усреднение нелинейных задач Дирихле в перфорированных областях общей структуры
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