A nonlinear elliptic problem with terms concentrating in the boundary

DOI10.1002/mma.2525zbMath1252.35029arXiv1204.0116OpenAlexW1973760567MaRDI QIDQ2905708

Antonio Luiz Pereira, Gleiciane S. Aragão, Marcone Corrêa Pereira

Publication date: 28 August 2012

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1204.0116

zbMATH Keywords

semilinear elliptic equationsupper semicontinuitynonlinear boundary value problemsconcentrating termsoscillatory behavior

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Semilinear elliptic equations (35J61) Singular elliptic equations (35J75) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (11)

Semilinear elliptic equations in thin domains with reaction terms concentrating on boundary ⋮ Concentrated terms and varying domains in elliptic equations: Lipschitz case ⋮ PDE problems with concentrating terms near the boundary ⋮ Concentrated reaction terms on the boundary of rough domains for a quasilinear equation ⋮ On the nonlinear convection-diffusion-reaction problem in a thin domain with a weak boundary absorption ⋮ A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary ⋮ The \(p\)-Laplacian equation in a rough thin domain with terms concentrating on the boundary ⋮ Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries ⋮ Attractors for a nonlinear parabolic problem with terms concentrating on the boundary ⋮ Continuity of the set equilibria of non-autonomous damped wave equations with terms concentrating on the boundary ⋮ Dynamics of thermoelastic plate system with terms concentrated in the boundary

Cites Work

• Asymptotic behavior of a parabolic problem with terms concentrated in the boundary
• Singular limit for a nonlinear parabolic equation with terms concentrating on the boundary
• Semilinear parabolic problems in thin domains with a highly oscillatory boundary
• Homogenization in a thin domain with an oscillatory boundary
• Delay nonlinear boundary conditions as limit of reactions concentrating in the boundary
• Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary

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