THE NEHARI MANIFOLD APPROACH FOR DIRICHLET PROBLEM INVOLVING THE p(x)-LAPLACIAN EQUATION

DOI10.4134/JKMS.2010.47.4.845zbMath1196.35108MaRDI QIDQ3576369

Zehra Yücedağ, Sezai Ogras, Mustafa Avci, Rabil Ayazoglu (Mashiyev)

Publication date: 30 July 2010

Published in: Journal of the Korean Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

variational methodsmultiple positive solutionsNehari manifold\(p(x)\)-Laplacianvariable exponent Lebesgue-Sobolev spaces

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38)

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