Concentrated terms and varying domains in elliptic equations: Lipschitz case

DOI10.1002/mma.3791zbMath1345.35035arXiv1412.5850OpenAlexW2963875684MaRDI QIDQ3188508

Gleiciane S. Aragão, Simone M. Bruschi

Publication date: 11 August 2016

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

Full work available at URL: https://arxiv.org/abs/1412.5850

zbMATH Keywords

semilinear elliptic equationsnonlinear boundary value problemsoscillatory behaviorvarying boundaryconcentrated termsupper semicontinuity of solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Nonlinear elliptic equations (35J60) Semilinear elliptic equations (35J61)

Related Items (4)

PDE problems with concentrating terms near the boundary ⋮ Concentrated reaction terms on the boundary of rough domains for a quasilinear equation ⋮ A nonlinear damped transmission problem as limit of wave equations with concentrating nonlinear terms away from the boundary ⋮ Semilinear elliptic equations in thin regions with terms concentrating on oscillatory boundaries

Cites Work

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• Asymptotic behavior of a parabolic problem with terms concentrated in the boundary
• Attractors for a nonlinear parabolic problem with terms concentrating on the boundary
• Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary
• On the Eigenvalues of a Biharmonic Steklov Problem
• A nonlinear elliptic problem with terms concentrating in the boundary
• RAPIDLY VARYING BOUNDARIES IN EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS: THE CASE OF A LIPSCHITZ DEFORMATION

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