Nonlinear nonhomogeneous singular problems
Papageorgiou, Nikolaos (Avtor), Rǎdulescu, Vicenţiu (Avtor), Repovš, Dušan (Avtor)

 PDF - Predstavitvena datoteka, prenos (416,38 KB)MD5: D1825EA32DD846EB401C5A55BC2738CA

Izvleček
We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator with a growth of order ▫$(p-1)$▫ near ▫$+\infty$▫ and with a reaction which has the competing effects of a parametric singular term and a ▫$(p-1)$▫-superlinear perturbation which does not satisfy the usual Ambrosetti-Rabinowitz condition. Using variational tools, together with suitable truncation and strong comparison techniques, we prove a "bifurcation-type" theorem that describes the set of positive solutions as the parameter ▫$\lambda$▫ moves on the positive semiaxis. We also show that for every ▫$\lambda > 0$▫, the problem has a smallest positive solution ▫$u^\ast_\lambda$▫ and we demonstrate the monotonicity and continuity properties of the map ▫$\lambda \mapsto u^\ast_\lambda$▫.

Jezik: Angleški jezik singular term, superlinear perturbation, positive solution, nonhomogeneous differential operator, nonlinear regularity, minimal positive solutions, strong comparison principle Članek v reviji (dk_c) 1.01 - Izvirni znanstveni članek PEF - Pedagoška fakulteta 2020 art. 9 [31 str.] Vol. 59, iss. 1 517.956.2 0944-2669 10.1007/s00526-019-1667-0 18823001 340 258 (0 glasov) Ocenjevanje je dovoljeno samo prijavljenim uporabnikom. AddThis uporablja piškotke, za katere potrebujemo vaše privoljenje.Uredi privoljenje...

Naslov: Calculus of variations and partial differential equations Calc. var. partial differ. equ. Springer 0944-2669 3677529

## Komentarji

Dodaj komentar

Za komentiranje se morate prijaviti.

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

Nazaj