Existence results in weighted Sobolev spaces for some singular quasilinear elliptic equations

DOI10.1007/S10440-008-9336-XzbMath1190.35110OpenAlexW2110916077MaRDI QIDQ966494

Gao Jia, Qing Zhao

Publication date: 23 April 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9336-x

zbMATH Keywords

weighted Sobolev spacessingular elliptic equationGalerkin-type techniques

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Applications of operator theory to differential and integral equations (47N20) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62) Singular elliptic equations (35J75)

Related Items (6)

On a quasilinear elliptic equation with superlinear nonlinearities ⋮ Resonance problem of a class of singular quasilinear elliptic equations ⋮ Existence of solutions for quasilinear elliptic equations with superlinear nonlinearities ⋮ Multiplicity of solutions for singular semilinear elliptic equations in weighted Sobolev spaces ⋮ Existence of solutions for a class of singular quasilinear elliptic resonance problems ⋮ Existence of solutions for a class of quasilinear parabolic equations with superlinear nonlinearities

Cites Work

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• On the solvability of a quasilinear elliptic resonance problem near its first eigenvalue
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• Jumping nonlinearities and weighted Sobolev spaces
• Singular quasilinearity and higher eigenvalues
• A semilinear elliptic boundary value problem at resonance where the nonlinearity may grow linearly
• Multiple solutions of semilinear elliptic problems at resonance
• Double resonance for quasilinear elliptic higher order partial differential equations between the first and second eigenvalues
• One-sided resonance problems for quasilinear elliptic operators

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