Non-homogeneous semilinear elliptic equations involving critical Sobolev exponent

DOI10.1007/s10231-010-0173-yzbMath1276.35085OpenAlexW2024287354MaRDI QIDQ666277

Tokushi Sato, Yūki Naito

Publication date: 8 March 2012

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-010-0173-y

zbMATH Keywords

critical Sobolev exponentvariational methodsemilinear elliptic equationnon-homogeneous

Mathematics Subject Classification ID

Variational methods for second-order elliptic equations (35J20) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items

Multiplicity of positive solutions for a class of concave-convex elliptic equations with critical growth ⋮ Existence and multiplicity of positive solutions for a class of elliptic equations involving critical Sobolev exponents ⋮ Critical problem for the fractional Laplacian operator with sign changing data ⋮ Existence of nonminimal solutions to an inhomogeneous elliptic equation with supercritical nonlinearity ⋮ A supercritical scalar field equation with a forcing term ⋮ Thresholds for the existence of solutions to inhomogeneous elliptic equations with general exponential nonlinearity

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