\(p\)-Laplacian boundary value problems on exterior regions

DOI10.1016/j.jmaa.2014.03.032zbMath1332.35101OpenAlexW2000834553MaRDI QIDQ489010

Qi Han, J. F. G. Auchmuty

Publication date: 27 January 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.03.032

zbMATH Keywords

variational principlesenergy spaces\(p\)-Laplacian boundary value problemsexterior regions

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Variational methods applied to PDEs (35A15) Variational methods for higher-order elliptic equations (35J35)

Related Items

On the first exterior \(p\)-harmonic Steklov eigenvalue, Positive solutions of elliptic problems involving both critical Sobolev nonlinearities on exterior regions, Laplace's equation with concave and convex boundary nonlinearities on an exterior region

Cites Work

• Functional analysis, Sobolev spaces and partial differential equations
• Dirichlet and Neumann exterior problems for the \(n\)-dimensional Laplace operator. An approach in weighted Sobolev spaces
• Existence of bounded solutions for nonlinear elliptic equations in unbounded domains
• Representations of solutions of Laplacian boundary value problems on exterior regions
• Les espaces du type de Beppo Levi
• A priori estimates for a class of quasi-linear elliptic equations
• Optimal coercivity inequalities in W^1,p(Ω)
• The poisson equation with weights in exterior domains of Rⁿ
• Acoustic and electromagnetic equations. Integral representations for harmonic problems
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