On a boundary value problem with nonsmooth jumping nonlinearity

DOI10.1016/0022-0396(91)90012-XzbMath0768.35031OpenAlexW2090269482MaRDI QIDQ1174956

S. Singh

Publication date: 25 June 1992

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(91)90012-x

zbMATH Keywords

eigenvalues of the Laplaciannonuniqueness

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

Elliptic equations with jumping nonlinearities involving high eigenvalues ⋮ Infinitely many new curves of the Fučík spectrum ⋮ Multiple solutions for a class of elliptic equations with jumping nonlinearities ⋮ Unnamed Item ⋮ Existence and multiplicity of solutions for elliptic equations with jumping nonlinearities ⋮ Variational properties of the first curve of the Fučík spectrum for elliptic operators

Cites Work

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• On nontrivial solutions of a Dirichlet problem whose jumping nonlinearity crosses a multiple eigenvalue
• Some remarks on the number of solutions of some nonlinear elliptic problems
• Multiplicity results for a class of semilinear elliptic and parabolic boundary value problems
• On nonlinear elliptic problems with jumping nonlinearities
• Hammerstein integral equations with indefinite kernel
• Multiple solutions of asymptotically homogeneous problems
• On the inversion of some differentiable mappings with singularities between Banach spaces
• On the number of solutions of an elliptic boundary value problem with jumping nonlinearity
• A multiplicity result for a class of elliptic boundary value problems
• On a conjecture related to the number of solutions of a nonlinear Dirichlet problem
• Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues
• Multiplicity of solutions of nonlinear boundary value problems with nonlinearities crossing several higher eigenvalues.
• Critical point theory and boundary value problems with nonlinearities crossing multiple eigenvalues II
• Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini
• A Note on Degree Theory for Gradient Mappings
• Remarks on some quasilinear elliptic equations

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