Szczegóły publikacji
Opis bibliograficzny
Nonlinear nonhomogeneous singular problems / Nikolaos S. Papageorgiou, Vicenţiu D. RǍDULESCU, Dušan D. Repovš // Calculus of Variations and Partial Differential Equations ; ISSN 0944-2669. — 2020 — vol. 59 iss. 1 art. no. 9, s. 1–31. — Bibliogr. s. 30–31, Abstr. — Publikacja dostępna online od: 2019-11-28. — V. D. V. D. Rădulescu – dod. afiliacja: Institute of Matematics, Physics and Mechanics, Slovenia, University of Craiova, Romania
Autorzy (3)
- Papageorgiou Nikolaos S.
- AGHRǎdulescu Vicenţiu
- Repovš Dušan D.
Dane bibliometryczne
| ID BaDAP | 126556 |
|---|---|
| Data dodania do BaDAP | 2020-01-27 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00526-019-1667-0 |
| Rok publikacji | 2020 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Calculus of Variations and Partial Differential Equations |
Abstract
We consider a nonlinear Dirichlet problem driven by a nonhomogeneous differential operator with a growth of order ( p- 1) near+8 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. moves on the positive semiaxis. We also show that for every. > 0, the problem has a smallest positive solution u *. and we demonstrate the monotonicity and continuity properties of the map lambda -> u(lambda)*.
