6533b86dfe1ef96bd12ca176

RESEARCH PRODUCT

Multiple solutions for strongly resonant Robin problems

Calogero VetroFrancesca VetroNikolaos S. Papageorgiou

subject

Regularity theoryPure mathematicsSemilinear equationStrong resonanceGeneral Mathematics010102 general mathematicsp-LaplacianMultiplicity (mathematics)Mathematics::Spectral Theory01 natural sciences010101 applied mathematicsNonlinear systemCritical groupSettore MAT/05 - Analisi Matematicap-Laplacian0101 mathematicsLaplace operatorEigenvalues and eigenvectorsCritical groupMathematics

description

We consider nonlinear (driven by the p†Laplacian) and semilinear Robin problems with indefinite potential and strong resonance with respect to the principal eigenvalue. Using variational methods and critical groups, we prove four multiplicity theorems producing up to four nontrivial smooth solutions.

yearjournalcountryeditionlanguage
2018-01-02
10.1002/mana.201600454http://hdl.handle.net/10447/289128