Existence and Liouville-type theorems for some indefinite quasilinear elliptic problems with potentials vanishing at infinity

DOI10.1016/j.jfa.2009.07.010zbMath1181.35101OpenAlexW2071977649WikidataQ124948131 ScholiaQ124948131MaRDI QIDQ1039416

Athanasios N. Lyberopoulos

Publication date: 30 November 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.07.010

zbMATH Keywords

weighted Sobolev spacesLiouville-type theoremsdecaying potentialsfibering methodindefinite quasilinear elliptic problems

Mathematics Subject Classification ID

Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items

A sharp Sobolev inequality and its applications to an indefinite elliptic equation with Neumann boundary conditions ⋮ On a Hardy–Sobolev-type inequality and applications ⋮ Quasilinear scalar field equations with competing potentials ⋮ An indefinite quasilinear elliptic problem with weights in anisotropic spaces ⋮ A sharp Hardy-Sobolev inequality with boundary term and applications ⋮ Existence and multiplicity of nonnegative solutions for quasilinear elliptic exterior problems with nonlinear boundary conditions

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