A remark on the resonance set for a semilinear elliptic equation

DOI10.1017/S0308210500028663zbMath0808.35036MaRDI QIDQ4312034

Anna Maria Micheletti

Publication date: 5 March 1995

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

jumping nonlinearityresonance set

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) PDEs with low regular coefficients and/or low regular data (35R05)

Related Items

Inequalities verified by asymmetric nonlinear operators, On the Fučik spectrum and a resonance problem for the \(p\)-Laplacian with a nonlinear boundary condition, The Fučík Spectrum for the Negative p-Laplacian with Different Boundary Conditions, Remarks on a class of elliptic problems with asymmetric nonlinearities, The ∞-Fucík spectrum, Analytical and numerical results for the Fučík spectrum of the Laplacian., The beginning of the Fučik spectrum for the \(p\)-Laplacian, A generic property of the resonance set of an elliptic operator with respect to the domain, The Fučik spectrum of the \(p\)-Laplace equations with different weights and its resonance problems, Unnamed Item, On the Fučik spectrum for the \(p\)-Laplacian with Robin boundary condition

Cites Work

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• Partial regularity of the zero-set of solutions of linear and superlinear elliptic equations
• On the existence of solutions of certain asymptotically homogeneous problems
• On nonlinear elliptic problems with jumping nonlinearities
• The stability of the resonance set for a problem with jumping non-linearity
• Résultats d'existence et de non-existence pour certains problèmes demi-linéaires à l'infini
• On the Dirichlet problem for weakly non-linear elliptic partial differential equations