Multiple solutions for a degenerate elliptic equation involving sublinear terms at infinity

DOI10.1016/j.jmaa.2008.03.025zbMath1163.35027OpenAlexW1967688899MaRDI QIDQ1012175

Csaba Varga, Alexandru Kristály

Publication date: 14 April 2009

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.2008.03.025

zbMATH Keywords

Caffarelli-Kohn-Nirenberg inequalitydegenerate elliptic problemsublinearity at infinity

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Variational methods for second-order elliptic equations (35J20)

Related Items (11)

Elliptic problems on complete non-compact Riemannian manifolds with asymptotically non-negative Ricci curvature ⋮ Existence and multiplicity of weak solutions for a singular quasilinear elliptic equation ⋮ On the existence and multiplicity of solutions for a class of singular elliptic problems ⋮ Existence and nonexistence of positive solutions for singular \(p\)-Laplacian equation in \(\mathbb R^N\) ⋮ The Nehari manifold and the existence of multiple solutions for a singular quasilinear elliptic equation ⋮ Existence of multiple solutions for an elliptic system with sign-changing weight functions ⋮ The Nehari manifold for a degenerate elliptic equation involving a sign-changing weight function ⋮ Nonlinear equations involving the square root of the Laplacian ⋮ Existence and multiplicity results for singular quasilinear elliptic equation on unbounded domain ⋮ Ground state solutions for singular \(p\)-Laplacian equation in \(\mathbb R^N\) ⋮ Multiple critical points of a functional in product spaces with applications to elliptic systems

Cites Work

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• A mountain pass theorem
• Some remarks on a three critical points theorem
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• Existence and multiplicity results for some quasilinear elliptic equation with weights
• The effect of Harnack inequality on the existence and nonexistence results for quasi-linear parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities
• The solvability of quasilinear Brezis-Nirenberg-type problems with singular weights
• Some improved Caffarelli-Kohn-Nirenberg inequalities
• Existence and non-existence of solutions to elliptic equations related to the Caffarelli-Kohn-Nirenberg inequalities
• Existence of three solutions for a class of elliptic eigenvalue problems

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