Nonlinear eigenvalue problems for quasilinear equations in unbounded domains

DOI10.1002/mana.1999.3212030102zbMath0936.35066OpenAlexW1904053167MaRDI QIDQ4260182

Christian G. Simader, Pavel Drábek

Publication date: 23 November 1999

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.1999.3212030102

zbMATH Keywords

existenceexterior domainsubcritical

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) A priori estimates in context of PDEs (35B45) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Multiplicity result for a double eigenvalue quasilinear problem on unbounded domain ⋮ Quasilinear elliptic problems in \(\mathbb R^N\) involving oscillatory nonlinearities ⋮ Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions ⋮ Existence results for the equation \(-\Delta u=f (x,u)\) in \(\mathbb{R}^n\)

Cites Work

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• An \(L^ q({\mathbb{R}}^ N)\)-theory of subcritical semilinear elliptic problems
• Regularity for a more general class of quasilinear equations
• Monotonic decreasing and asymptotic behavior of the kinetic energy for weak solutions of the Navier-Stokes equations in exterior domains
• Eigenvalue problems for quasilinear elliptic equations on R^N
• Nonlinear p-Laplacian Problems on Unbounded Domains
• Nonlinear Eigenvalue Problem for p‐Laplacian in IR^N
• On harnack type inequalities and their application to quasilinear elliptic equations

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