Existence and Multiplicity of Solutions for Neumann p-Laplacian-Type Equations
By Leszek Gasinski, Nikolaos S. Papageorgiou. 2008
70 citations recorded by the source corpus.
Abstract We consider nonlinear Neumann problems driven by p-Laplacian-type operators which are not homogeneous in general. We prove an existence and a multiplicity result for such problems. In the existence theorem, we assume that the right hand side nonlinearity is p-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. In the multiplicity result, when specialized to the case of the p-Laplacian, we allow strong resonance at infinity and resonance at 0.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/1084446a048ee6a94aefd25c428220db9e2a126d
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In Applied Mathematics
- Vicentiu D. Rădulescu
- Nikolaos S. Papageorgiou
- Dušan D. Repovš
- Patrick Winkert
- Leszek Gasinski
- V. Ruadulescu
- Zhijun Zhang
- Anouar Bahrouni
In Computational Theory and Mathematics
- Vicentiu D. Rădulescu
- Nikolaos S. Papageorgiou
- Dušan D. Repovš
- Patrick Winkert
- Leszek Gasinski
- V. Ruadulescu
- Zhijun Zhang
- Anouar Bahrouni
In Control and Systems Engineering
Citations in the corpus
- Coercive and noncoercive nonlinear Neumann problems with indefinite potential (2016, unknown): “The second deformation theorem (see, e.g., Gasinski and Papageorgiou [15, p. 628]) implies that the above definition of critical groups of ÿ at infinity is independent of the particular choice of the level c inf ÿ(Kÿ).”
- Nonlinear Nonhomogeneous Robin Problems with Superlinear Reaction Term (2016, background): “[2] S. Aizicovici, N. S. Papageorgiou and V. Staicu, On a p-superlinear Neumann p-Laplacian equation, Topol.”