Multiple solutions of a \(p(x)\)-Laplacian equation involving critical nonlinearities

DOI10.11650/tjm.17.2013.3074zbMath1287.35009OpenAlexW2042142676MaRDI QIDQ395641

Qihu Zhang, Yuan Liang, Chunshan Zhao, Xianbin Wu

Publication date: 29 January 2014

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://journal.taiwanmathsoc.org.tw/index.php/TJM/article/view/3074

zbMATH Keywords

critical exponentintegral functional\(p(x)\)-Laplacianvariable exponent Sobolev space

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Critical exponents in context of PDEs (35B33) Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Variational methods for second-order elliptic equations (35J20)

Related Items (2)

Existence of weak solutions for a $p(x)$-Laplacian equation via topological degree ⋮ Existence of solutions for a nonhomogeneous Dirichlet problem involving \(p(x)\)-Laplacian operator and indefinite weight

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