Existence of solutions for a class of singular quasilinear elliptic resonance problems

DOI10.1016/J.NA.2010.11.010zbMath1216.35069OpenAlexW1994359493MaRDI QIDQ534447

Dong Sun, Gao Jia

Publication date: 17 May 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.11.010

zbMATH Keywords

quasilinear elliptic equationweighted Sobolev spaceresonance\(*\)-relationship

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Fixed-point theorems (47H10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)

Related Items (2)

Resonance problem of a class of singular quasilinear elliptic equations ⋮ Multiplicity of solutions for singular semilinear elliptic equations in weighted Sobolev spaces

Cites Work

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• Existence results in weighted Sobolev spaces for some singular quasilinear elliptic equations
• Pseudo-eigenvalues and quasilinear elliptic systems.
• Jumping nonlinearities and weighted Sobolev spaces
• Singular quasilinearity and higher eigenvalues
• Resonance, distributions and semilinear elliptic partial differential equations
• Resonance and Quasilinear Ellipticity
• Double resonance in semilinear elliptic problems
• Theoretical Numerical Analysis
• One-sided resonance problems for quasilinear elliptic operators

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