Compact Sobolev embedding theorems involving symmetry and its application

DOI10.1007/s00030-009-0046-5zbMath1207.46030OpenAlexW2009220288MaRDI QIDQ969598

Pei-Hao Zhao, Yong Zhang, Juanjuan Gao

Publication date: 7 May 2010

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-009-0046-5

zbMATH Keywords

weak solutionscylindrical symmetrySobolev embedding\(p(x)\)-Laplacian

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30)

Related Items

Almost compact and compact embeddings of variable exponent spaces ⋮ The existence of three solutions for \(p\)-Laplacian problems with critical and supercritical growth ⋮ Existence of positive solutions for a class of semilinear and quasilinear elliptic equations with supercritical case ⋮ Positive solutions for a class of \(p(x)\)-Laplacian equation involving concave-convex nonlinearities ⋮ INFINITELY MANY LOW- AND HIGH-ENERGY SOLUTIONS FOR A CLASS OF ELLIPTIC EQUATIONS WITH VARIABLE EXPONENT ⋮ Infinitely many small solutions to an elliptic PDE of variable exponent with a singular nonlinearity

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