Nonhomogeneous hemivariational inequalities with indefinite potential and Robin boundary condition
Papageorgiou, Nikolaos (Avtor), Rǎdulescu, Vicenţiu (Avtor), Repovš, Dušan (Avtor)

 PDF - Predstavitvena datoteka, prenos (514,03 KB)MD5: 5530EF10887A587F82C335CF66E8EBD2

Izvleček
We consider a nonlinear, nonhomogeneous Robin problem with an indefinite potential and a nonsmooth primitive in the reaction term. In fact, the right-hand side of the problem (reaction term) is the Clarke subdifferential of a locally Lipschitz integrand. We assume that asymptotically this term is resonant with respect the principal eigenvalue (from the left). We prove the existence of three nontrivial smooth solutions, two of constant sign and the third nodal. We also show the existence of extremal constant sign solutions. The tools come from nonsmooth critical point theory and from global optimization (direct method).

Jezik: Angleški jezik locally Lipschitz function, Clarke subdifferential, resonance, extremal constant sign solutions, nodal solutions, nonlinear nonhomogeneous differential operator Članek v reviji (dk_c) 1.01 - Izvirni znanstveni članek PEF - Pedagoška fakulteta 2017 Str. 293-323 Vol. 175, iss. 2 517.956 0022-3239 10.1007/s10957-017-1173-5 18130265 287 318 (0 glasov) Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. AddThis uporablja piškotke, za katere potrebujemo vaše privoljenje.Uredi privoljenje...

## Komentarji

Dodaj komentar

Za komentiranje se morate prijaviti.

Komentarji (0)
 0 - 0 / 0 Ni komentarjev!

Nazaj