Mountain pass solutions to equations of \(p\)-Laplacian type.

DOI10.1016/S0362-546X(03)00105-6zbMath1274.35114MaRDI QIDQ1406772

Maria Christina Mariani, Pablo L. De Nápoli

Publication date: 7 September 2003

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

zbMATH Keywords

mountain pass theoremmultiple solutionsuniform convexityp-LaplacianClarkson inequality

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational methods for second-order elliptic equations (35J20)

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Cites Work

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• Mountain pass type solutions for quasilinear elliptic equations
• Existence and regularity of weak solutions to the prescribed mean curvature equation for a nonparametric surface
• Quasilinear elliptic systems of resonant type and nonlinear eigenvalue problems
• The prescribed mean curvature equation for nonparametric surfaces
• Minimax theorems
• Dual variational methods in critical point theory and applications
• Landesman-lazer conditions and quasilinear elliptic equations
• Variational and topological methods for Dirichlet problems with \(p\)-Laplacian

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