6533b7d6fe1ef96bd12665a6

RESEARCH PRODUCT

Superlinear Robin Problems with Indefinite Linear Part

Calogero VetroFrancesca VetroNikolaos S. Papageorgiou

subject

Regularity theoryPure mathematicsGeneral Mathematics010102 general mathematicsThree solutions theoremMultiplicity (mathematics)Robin boundary condition01 natural sciencesRobin boundary conditionTerm (time)Indefinite potential function010101 applied mathematicsSettore MAT/05 - Analisi Matematica0101 mathematicsSuperlinear reaction termCritical groupMathematicsMorse theory

description

We consider a semilinear Robin problem with an indefinite linear part and a superlinear reaction term, which does not satisfy the usual in such cases AR condition. Using variational methods, together with truncation–perturbation techniques and Morse theory (critical groups), we establish the existence of three nontrivial solutions. Our result extends in different ways the multiplicity theorem of Wang.

yearjournalcountryeditionlanguage
2018-11-02
10.1007/s40840-018-0701-2http://hdl.handle.net/10447/411882