\(\Gamma\)-convergence and stochastic homogenization of second-order singular perturbation models for phase transitions

Singular perturbations in context of PDEs (35B25) PDEs with randomness, stochastic partial differential equations (35R60) Variational methods for second-order elliptic equations (35J20) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

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Domain formation in membranes near the onset of instability
Asymptotic analysis of a second-order singular perturbation model for phase transitions
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Stochastic homogenisation of free-discontinuity problems
\(\Gamma\)-convergence of free-discontinuity problems
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Homogenization and phase separation with space dependent wells: the subcritical case
New homogenization results for convex integral functionals and their Euler-Lagrange equations
Γ-convergence and stochastic homogenisation of phase-transition functionals
A sharp interface limit of a nonlocal variational model for pattern formation in biomembranes

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