6533b7ddfe1ef96bd127443a

RESEARCH PRODUCT

Multiple solutions for (p,2)-equations at resonance

Nikolaos S. PapageorgiouCalogero VetroFrancesca Vetro

subject

TruncationSettore MAT/05 - Analisi MatematicaComparison techniqueNonlinear maximum principleNodal solutionResonanceCritical groupConstant signNonlinear regularity

description

We consider a nonlinear nonhomogeneous Dirichlet problem driven by the sum of a p-Laplacian and a Laplacian and a reaction term which is (p− 1)-linear near ±∞ and resonant with respect to any nonprincipal variational eigenvalue of (−∆p, W01,p(Ω)). Using variational tools together with truncation and comparison techniques and Morse Theory (critical groups), we establish the existence of six nontrivial smooth solutions. For five of them we provide sign information and order them.

yearjournalcountryeditionlanguage
2019-01-01
10.3934/dcdss.2019024http://hdl.handle.net/10447/334782