On the public citation graph

Singular perturbations of variational problems arising from a two-phase transition model

https://doi.org/10.1007/bf01445167
0 signed · 114 inferred · view as graph

Inferred edges come from two machine sources: sweeps of open repository metadata (mostly SSRN and Zenodo), and a bulk OpenAlex citation snapshot. Every row below is labelled with the one it came from. Neither is a complete citation index — absence here is not evidence of absence.

Is this your work? Sign in with ORCID and put your name on the claims that are yours.
Claim with ORCID
Reference health. See whether every reference in this work resolves to a known work and none has been retracted — and get a dated CiteStamped badge you can embed.
See reference health

What this work says

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

inferredcites →https://doi.org/10.1007/978-1-4684-9486-0openalex-snapshot
Minimal Surfaces and Functions of Bounded Variation
inferredcites →https://doi.org/10.1007/978-3-642-61798-0openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/978-3-642-83743-2_22openalex-snapshot
On Phase Transitions with Bulk, Interfacial, and Boundary Energy
inferredcites →https://doi.org/10.1007/978-3-642-96379-7openalex-snapshot
Elliptic Partial Differential Equations of Second Order
inferredcites →https://doi.org/10.1007/bf00251230openalex-snapshot
The gradient theory of phase transitions and the minimal interface criterion
inferredcites →https://doi.org/10.1007/bf00251908openalex-snapshot
On phase transitions with bulk, interfacial, and boundary Energy
inferredcites →https://doi.org/10.1007/bf00253122openalex-snapshot
The effect of a singular perturbation on nonconvex variational problems
inferredcites →https://doi.org/10.1007/bf00280031openalex-snapshot
Structured phase transitions on a finite interval
inferredcites →https://doi.org/10.1007/bf01301259openalex-snapshot
Integral representation on BV(?) of ?-limits of variational integrals
inferredcites →https://doi.org/10.1007/bf02412838openalex-snapshot
Su una teoria generale della misura (r − 1)-dimensionale in uno spazio adr dimensioni
inferredcites →https://doi.org/10.1016/0022-247x(73)90063-2openalex-snapshot
Nonuniqueness of equilibrium states for bars in tension
inferredcites →https://doi.org/10.1016/s0294-1449(16)30304-3openalex-snapshot
Minimal interface criterion for phase transitions in mixtures of Cahn–Hilliard fluids
inferredcites →https://doi.org/10.1016/s0294-1449(17)30018-5openalex-snapshot
Multifonctions s.c.i. et Régularisée s.c.i. Essentielle
inferredcites →https://doi.org/10.1063/1.1730447openalex-snapshot
Free Energy of a Nonuniform System. III. Nucleation in a Two-Component Incompressible Fluid
inferredcites →https://doi.org/10.1090/s0002-9947-1988-0965760-9openalex-snapshot
Nonconvex Variational Problems With General Singular Perturbations
inferredcites →https://doi.org/10.1215/s0012-7094-64-03115-1openalex-snapshot
Sublinear functions of measures and variational integrals

What points at this work

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

inferred← citeshttps://doi.org/10.1002/cpa.10035openalex-snapshot
A Γ‐convergence result for the two‐gradient theory of phase transitions
inferred← citeshttps://doi.org/10.1002/cpa.20115openalex-snapshot
Rigidity and gamma convergence for solid‐solid phase transitions with SO(2) invariance
inferred← citeshttps://doi.org/10.1006/jdeq.1998.3457openalex-snapshot
Finiteness and Positivity Results for Global Minimizers of a Semilinear Elliptic Problem
inferred← citeshttps://doi.org/10.1007/3-7643-7565-5_8openalex-snapshot
A Singular Perturbation Result with a Fractional Norm
inferred← citeshttps://doi.org/10.1007/978-3-0348-8193-7_9openalex-snapshot
Higher Order Variational Problems and Phase Transitions in Nonlinear Elasticity
inferred← citeshttps://doi.org/10.1007/978-3-642-57186-2_3openalex-snapshot
Variational models for phase transitions, an approach via Γ-convergence
inferred← citeshttps://doi.org/10.1007/bf01758994openalex-snapshot
Some results on surface measures in calculus of variations
inferred← citeshttps://doi.org/10.1007/bf02678209openalex-snapshot
On a Γ-limit of a family of anisotropic singular perturbations
inferred← citeshttps://doi.org/10.1007/bfb0092670openalex-snapshot
Variational models for microstructure and phase transitions
inferred← citeshttps://doi.org/10.1007/s00030-013-0224-3openalex-snapshot
A two-gradient approach for phase transitions in thin films
inferred← citeshttps://doi.org/10.1007/s00032-025-00424-0openalex-snapshot
Higher-Order Non-local Gradient Theory of Phase-Transitions
inferred← citeshttps://doi.org/10.1007/s00205-005-0397-yopenalex-snapshot
A Sharp-Interface Limit for a Two-Well Problem in Geometrically Linear Elasticity
inferred← citeshttps://doi.org/10.1007/s00205-006-0012-xopenalex-snapshot
Surfactants in Foam Stability: A Phase-Field Model
inferred← citeshttps://doi.org/10.1007/s00205-010-0333-7openalex-snapshot
Singular Kernels, Multiscale Decomposition of Microstructure, and Dislocation Models
inferred← citeshttps://doi.org/10.1007/s00205-023-01920-6openalex-snapshot
Homogenization and Phase Separation with Space Dependent Wells: The Subcritical Case
inferred← citeshttps://doi.org/10.1007/s002050050166openalex-snapshot
On a Volume-Constrained Variational Problem
inferred← citeshttps://doi.org/10.1007/s00209-006-0947-5openalex-snapshot
Flatness of Bernoulli jets
inferred← citeshttps://doi.org/10.1007/s00245-022-09939-zopenalex-snapshot
Overhang Penalization in Additive Manufacturing via Phase Field Structural Topology Optimization with Anisotropic Energies
inferred← citeshttps://doi.org/10.1007/s003329910014openalex-snapshot
Singular Perturbation and the Energy of Folds
inferred← citeshttps://doi.org/10.1007/s00526-007-0146-1openalex-snapshot
Geometry of quasiminimal phase transitions
inferred← citeshttps://doi.org/10.1007/s00526-014-0708-yopenalex-snapshot
A minimal interface problem arising from a two component Bose–Einstein condensate via $$\Gamma $$ Γ -convergence
inferred← citeshttps://doi.org/10.1007/s00526-015-0819-0openalex-snapshot
Second order asymptotic development for the anisotropic Cahn–Hilliard functional
inferred← citeshttps://doi.org/10.1007/s00526-020-1699-5openalex-snapshot
Two-well rigidity and multidimensional sharp-interface limits for solid–solid phase transitions
inferred← citeshttps://doi.org/10.1007/s00526-021-02008-3openalex-snapshot
Sharp interface limit of a multi-phase transitions model under nonisothermal conditions
inferred← citeshttps://doi.org/10.1007/s00526-023-02540-4openalex-snapshot
$$\Gamma $$-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals
inferred← citeshttps://doi.org/10.1007/s00526-025-03246-5openalex-snapshot
Density estimates for a (non)local variational model with degenerate double-well potential
inferred← citeshttps://doi.org/10.1007/s005260000076openalex-snapshot
Surface measures in Carnot-Carath�odory spaces
inferred← citeshttps://doi.org/10.1007/s10231-003-0090-4openalex-snapshot
Variational approximation of anisotropic functionals on partitions
inferred← citeshttps://doi.org/10.1016/0362-546x(94)90139-2openalex-snapshot
Singular perturbations of variational problems of vector valued functions
inferred← citeshttps://doi.org/10.1016/j.anihpc.2007.09.004openalex-snapshot
A general class of phase transition models with weighted interface energy
inferred← citeshttps://doi.org/10.1016/j.crme.2017.12.011openalex-snapshot
A duality recipe for non-convex variational problems
inferred← citeshttps://doi.org/10.1016/j.jde.2005.08.017openalex-snapshot
Bernoulli jets and the zero mean curvature equation
inferred← citeshttps://doi.org/10.1016/j.jde.2011.12.005openalex-snapshot
A weighted gradient theory of phase transitions with a possibly singular and degenerate spatial inhomogeneity
inferred← citeshttps://doi.org/10.1016/j.matpur.2013.05.001openalex-snapshot
Density estimates for a variational model driven by the Gagliardo norm
inferred← citeshttps://doi.org/10.1016/j.matpur.2014.10.014openalex-snapshot
On the second inner variations of Allen–Cahn type energies and applications to local minimizers
inferred← citeshttps://doi.org/10.1016/s0167-2789(97)00177-2openalex-snapshot
Diffuse interfaces with sharp corners and facets: Phase field models with strongly anisotropic surfaces
inferred← citeshttps://doi.org/10.1016/s0294-1449(16)30197-4openalex-snapshot
A notion of total variation depending on a metric with discontinuous coefficients
inferred← citeshttps://doi.org/10.1016/s1874-5733(06)80006-9openalex-snapshot
Chapter 2 A handbook of Г-convergence
inferred← citeshttps://doi.org/10.1017/prm.2024.4openalex-snapshot
On the Γ-convergence of the Allen–Cahn functional with boundary conditions
inferred← citeshttps://doi.org/10.1017/s0308210500001566openalex-snapshot
Γ-limit for the extended Fisher–Kolmogorov equation
inferred← citeshttps://doi.org/10.1017/s0308210500027943openalex-snapshot
Relaxation of multiple integrals in the space BV(Ω, R P )
inferred← citeshttps://doi.org/10.1017/s0308210500028778openalex-snapshot
Anisotropic singular perturbations—the vectorial case
inferred← citeshttps://doi.org/10.1017/s0308210502000070openalex-snapshot
Γ-limit for the extended Fisher-Kolmogorov equation
inferred← citeshttps://doi.org/10.1017/s0308210508000541openalex-snapshot
Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen–Cahn equation
inferred← citeshttps://doi.org/10.1017/s0308210510000995openalex-snapshot
Towards a variational theory of phase transitions involving curvature
inferred← citeshttps://doi.org/10.1017/s0956792518000645openalex-snapshot
Large data limit for a phase transition model with the p -Laplacian on point clouds
inferred← citeshttps://doi.org/10.1017/s0956792524000226openalex-snapshot
Diffuse-interface approximation and weak–strong uniqueness of anisotropic mean curvature flow
inferred← citeshttps://doi.org/10.1017/s0956792598003453openalex-snapshot
A non-local anisotropic model for phase transitions: asymptotic behaviour of rescaled energies
inferred← citeshttps://doi.org/10.1051/cocv/2014040openalex-snapshot
Sharp interface limit for two components Bose−Einstein condensates
inferred← citeshttps://doi.org/10.1051/cocv/2023030openalex-snapshot
Γ-convergence and stochastic homogenisation of phase-transition functionals
inferred← citeshttps://doi.org/10.1051/cocv/2024023openalex-snapshot
The Sharp Interface Limit of an Ising Game
inferred← citeshttps://doi.org/10.1051/cocv/2024071openalex-snapshot
Nonlocal approximation of the anisotropic perimeter and application to topology optimization
inferred← citeshttps://doi.org/10.1051/cocv/2025017openalex-snapshot
Non-local phase transitions with singular anisotropic kernels
inferred← citeshttps://doi.org/10.1051/cocv:2006013openalex-snapshot
Gradient flows of non convex functionals in Hilbert spaces and applications
inferred← citeshttps://doi.org/10.1080/03605309808821367openalex-snapshot
On the non-local approximation of free-discontinuity problems
inferred← citeshttps://doi.org/10.1088/0951-7715/26/5/1271openalex-snapshot
Coupled second order singular perturbations for phase transitions
inferred← citeshttps://doi.org/10.1090/conm/659/13158openalex-snapshot
On the value of first order singular optimization problems
inferred← citeshttps://doi.org/10.1090/s0002-9947-2010-05021-4openalex-snapshot
1D symmetry for solutions of semilinear and quasilinear elliptic equations
inferred← citeshttps://doi.org/10.1090/tran/2011-363-02openalex-snapshot
inferred← citeshttps://doi.org/10.1090/tran/7151openalex-snapshot
Asymptotic analysis of second order nonlocal Cahn-Hilliard-type functionals
inferred← citeshttps://doi.org/10.1137/0527034openalex-snapshot
The Gradient Theory of the Phase Transitions in Cahn–Hilliard Fluids with Dirichlet Boundary Conditions
inferred← citeshttps://doi.org/10.1137/110831040openalex-snapshot
Density Estimates for a Nonlocal Variational Model via the Sobolev Inequality
inferred← citeshttps://doi.org/10.1137/17m114933xopenalex-snapshot
Density Estimates for Degenerate Double-Well Potentials
inferred← citeshttps://doi.org/10.1137/17m1159452openalex-snapshot
Variational Approximation of Functionals Defined on 1-dimensional Connected Sets: The Planar Case
inferred← citeshttps://doi.org/10.1137/23m1571861openalex-snapshot
Homogenization and Phase Separation with Fixed Wells—The Supercritical Case
inferred← citeshttps://doi.org/10.1137/24m1679136openalex-snapshot
Interacting Phase Fields Yielding Phase Separation on Surfaces
inferred← citeshttps://doi.org/10.1137/24m1710322openalex-snapshot
A Diffuse-Interface Landau–de Gennes Model for Free Boundary Problems in the Theory of Nematic Liquid Crystals
inferred← citeshttps://doi.org/10.1137/25m1726005openalex-snapshot
Density Estimates for a Nonlocal Variational Model with a Degenerate Double-Well Potential via the Sobolev Inequality
inferred← citeshttps://doi.org/10.1137/25m1764864openalex-snapshot
Analyzing the Nematic Liquid Crystal Droplet with an Improved Diffuse-Interface Landau–de Gennes Model
inferred← citeshttps://doi.org/10.1137/s0036141003437678openalex-snapshot
Density Estimates for a Degenerate/Singular Phase-Transition Model
inferred← citeshttps://doi.org/10.1137/s0036141099356830openalex-snapshot
Second Order Singular Perturbation Models for Phase Transitions
inferred← citeshttps://doi.org/10.1137/s1052623493259616openalex-snapshot
Viscosity Solutions of Minimization Problems
inferred← citeshttps://doi.org/10.1142/s0218202509003991openalex-snapshot
PHASE TRANSITIONS WITH THE LINE TENSION EFFECT: THE SUPER-QUADRATIC CASE
inferred← citeshttps://doi.org/10.11606/issn.2316-9028.v6i2p117-134openalex-snapshot
Singular perturbations for phase transitions
inferred← citeshttps://doi.org/10.14492/hokmj/1351516749openalex-snapshot
Anisotropic motion by mean curvature in the context of Finsler geometry
inferred← citeshttps://doi.org/10.1515/acv-2014-0039openalex-snapshot
An anisotropic bimodal energy for the segmentation of thin tubes and its approximation with Γ-convergence
inferred← citeshttps://doi.org/10.1515/acv-2024-0123openalex-snapshot
Convergence of a heterogeneous Allen–Cahn equation to weighted mean curvature flow
inferred← citeshttps://doi.org/10.1515/acv.2010.014openalex-snapshot
The Gibbs–Thomson relation for non homogeneous anisotropic phase transitions
inferred← citeshttps://doi.org/10.1515/crll.2004.068openalex-snapshot
Plane-like minimizers in periodic media: jet flows and Ginzburg-Landau-type functionals
inferred← citeshttps://doi.org/10.2748/tmj/1255700198openalex-snapshot
The characterization of Riemannian metric arising from phase transition problems
inferred← citeshttps://doi.org/10.3233/asy-1994-8303openalex-snapshot
Singular perturbation problems with a compact support semilinear term
inferred← citeshttps://doi.org/10.3233/asy-2005-712openalex-snapshot
Coupled singular perturbations for phase transitions
inferred← citeshttps://doi.org/10.3934/dcdss.2023146openalex-snapshot
The anisotropic Cahn–Hilliard equation: Regularity theory and strict separation properties
inferred← citeshttps://doi.org/10.3934/mine.2025027openalex-snapshot
A further remark on the density estimate for degenerate Allen-Cahn equations: $ \Delta_{p} $-type equations for $ 1 < p < \frac{n}{n-1} $ with rough coefficients
inferred← citeshttps://doi.org/10.4171/ifb/113openalex-snapshot
Geometric properties of Bernoulli-type minimizers
inferred← citeshttps://doi.org/10.4171/ifb/19openalex-snapshot
On the asymptotic behaviour of anisotropic energies arising in the cardiac bidomain model
inferred← citeshttps://doi.org/10.4171/ifb/212openalex-snapshot
A multi-phase transition model for dislocations with interfacial microstructure
inferred← citeshttps://doi.org/10.4171/jems/1385openalex-snapshot
Two-well linearization for solid-solid phase transitions
inferred← citeshttps://doi.org/10.4171/jems/31openalex-snapshot
Mean curvature properties for p-Laplace phase transitions
inferred← citeshttps://doi.org/10.48550/arxiv.1007.2114openalex-snapshot
Density estimates for a variational model driven by the Gagliardo norm
inferred← citeshttps://doi.org/10.48550/arxiv.1304.6650openalex-snapshot
A minimal interface problem arising from a two component Bose Einstein condensate via $\G$-convergence
inferred← citeshttps://doi.org/10.48550/arxiv.1802.08703openalex-snapshot
Large data limit for a phase transition model with the p-Laplacian on point clouds
inferred← citeshttps://doi.org/10.48550/arxiv.1808.01972openalex-snapshot
A homogenization result in the gradient theory of phase transitions
inferred← citeshttps://doi.org/10.5281/zenodo.193002openalex-snapshot
Fig. 1 in Fragilaria rinoi sp. nov. (Fragilariales, Fragilariophyceae) from periphytic river samples in Central Portugal
inferred← citeshttps://doi.org/10.57262/die/1368397750openalex-snapshot
$\Gamma$-convergence, minimizing movements and generalized mean curvature evolution
inferred← citeshttps://doi.org/10.68381/jca04004openalex-snapshot
Variational Approximation of Functionals with Curvatures and Related Properties
inferred← citeshttps://doi.org/10.68381/jca1001openalex-snapshot
Degenerate Perturbations of a Two-Phase Transition Model
inferred← citeshttps://doi.org/10.70675/be47997cz973bz4e75za382z5513bdd920fbopenalex-snapshot
A duality method for non-convex problems in Calculus of Variations
Editorial review for independent work. ICSAC — the Institute for Complexity Science and Advanced Computing — runs a structured editorial panel for researchers publishing outside journals, and publishes on CiteStamp rails. Submission is free and goes through ORCID: icsacinstitute.org/submit.