Nonlinear boundary value problems in weighted sobolev spaces

DOI10.1016/S0362-546X(96)00339-2zbMath0966.35050MaRDI QIDQ4374965

K. Pflüger

Publication date: 16 August 2001

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

unbounded domaincompact embeddingnonlinear boundary conditioncompact trace

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods applied to PDEs (35A15)

Related Items (4)

On a weighted trace embedding and applications to critical boundary problems^† ⋮ Compact trace in weighted variable exponent Sobolev spaces \(W^{1,p(x)}(\Omega;v_0,v_1)\) ⋮ Existence and multiplicity of self-similar solutions for heat equations with nonlinear boundary conditions ⋮ Solutions and multiple solutions for \(p(x)\)-Laplacian equations with nonlinear boundary condition

Cites Work

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• An \(L^ q({\mathbb{R}}^ N)\)-theory of subcritical semilinear elliptic problems
• Existence of ground states with exponential decay for semi-linear elliptic equations in \({\mathbb{R}}^ n\)
• Variational methods for indefinite superlinear homogeneous elliptic problems
• Positive \(L^ p\)-solution of subcritical nonlinear problems
• Nonlinear p-Laplacian Problems on Unbounded Domains
• Periodic Solutions of Nonlinear Hyperbolie Partial Differential Equations

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