Indefinite quasilinear elliptic problems with subcritical and supercritical nonlinearities on unbounded domains

DOI10.1016/j.jde.2006.03.008zbMath1134.35037OpenAlexW1994230797MaRDI QIDQ855391

Dimitrios A. Kandilakis, Athanasios N. Lyberopoulos

Publication date: 7 December 2006

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2006.03.008

zbMATH Keywords

subcritical nonlinearitiessupercritical nonlinearitiesfibering methodindefinite quasilinear elliptic problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (9)

Multiple solutions of a quasilinear elliptic problem involving nonlinear boundary condition on exterior domain ⋮ Elliptic problems involving the \(p(x)\)-Laplacian with competing nonlinearities ⋮ Quasilinear scalar field equations with competing potentials ⋮ Multiple solutions for nonhomogeneous \(p\)-Laplacian equations with nonlinear boundary conditions on \(\mathbb R_+^N\) ⋮ Existence of multiple solutions for singular elliptic problems with nonlinear boundary conditions ⋮ Positive solutions of indefinite equations withp-Laplacian and supercritical nonlinearity ⋮ Existence and multiplicity of nonnegative solutions for quasilinear elliptic exterior problems with nonlinear boundary conditions ⋮ Existence and Liouville-type theorems for some indefinite quasilinear elliptic problems with potentials vanishing at infinity ⋮ Solutions and multiple solutions for \(p(x)\)-Laplacian equations with nonlinear boundary condition

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