Multiple nontrivial solutions for \(p\)-Laplacian equations with an asymmetric nonlinearity.

zbMath1212.35082MaRDI QIDQ601503

Nikolaos S. Papageorgiou, Shouchuan Hu

Publication date: 28 October 2010

Published in: Differential and Integral Equations (Search for Journal in Brave)

zbMATH Keywords

mountain pass theorem\(p\)-Laplaciannonlinear Dirichlet problemright-hand side nonlinearitythe second deformation theorem

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Variational methods for second-order elliptic equations (35J20)

Related Items (4)

Nonlinear Dirichlet problems with a crossing reaction ⋮ On a Dirichlet problem with \(p\)-Laplacian and asymmetric nonlinearity ⋮ Existence of a non-trivial solution for the \(p\)-Laplacian equation with Fučík type resonance at infinity ⋮ Multiple solutions for the fractional \(p\)-Laplacian with jumping reactions

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