Existence of three solutions for the Dirichlet problem involving the \(p\)-Laplacian and minimax inequality for relevant functionals

zbMath1192.35060MaRDI QIDQ971465

Ghasem Alizadeh Afrouzi, Shapour Heidarkhani

Publication date: 14 May 2010

Published in: Iranian Journal of Science and Technology. Transaction A: Science (Search for Journal in Brave)

zbMATH Keywords

Dirichlet problemcritical pointmultiplicity resultsthree solutionsminimax inequality

Mathematics Subject Classification ID

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) Semilinear elliptic equations (35J61) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

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