Szczegóły publikacji
Opis bibliograficzny
Nonlinear, nonhomogeneous Robin problems with indefinite potential and general reaction / Nikolaos S. Papageorgiou, Vicenţiu D. RĂDULESCU, Dušan D. Repovš // Applied Mathematics and Optimization ; ISSN 0095-4616. — 2020 — vol. 81 iss. 3, s. 823–857. — Bibliogr. s. 856–857, Abstr. — Publikacja dostępna online od: 2018-09-07. — V. D. Rădulescu – dod. afiliacje: Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia ; Institute of Mathematics ”Simion Stoilow” of the Romanian Academy, Bucharest, Romania
Autorzy (3)
- Papageorgiou Nikolaos S.
- AGHRǎdulescu Vicenţiu
- Repovš Dušan D.
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 129132 |
|---|---|
| Data dodania do BaDAP | 2020-06-25 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00245-018-9521-x |
| Rok publikacji | 2020 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Applied Mathematics and Optimization |
Abstract
We consider a nonlinear elliptic equation driven by a nonhomogeneous differential operator plus an indefinite potential. On the reaction term we impose conditions only near zero. Using variational methods, together with truncation and perturbation techniques and critical groups, we produce three nontrivial solutions with sign information. In the semilinear case we improve this result by obtaining a second nodal solution for a total of four nontrivial solutions. Finally, under a symmetry condition on the reaction term, we generate a whole sequence of distinct nodal solutions.
