Szczegóły publikacji
Opis bibliograficzny
Double-phase problems with reaction of arbitrary growth / Nikolaos S. Papageorgiou, Vicenţiu D. RĂDULESCU, Dušan D. Repovš // Zeitschrift für Angewandte Mathematik und Physik ; ISSN 0044-2275. — 2018 — vol. 69 iss. 4 art. no. 108, s. 1–21. — Bibliogr. s. 19–20, Abstr. — Publikacja dostępna online od: 2018-08-03. — V. Rădulescu - dod. afiliacje: Instituite 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 | 117523 |
|---|---|
| Data dodania do BaDAP | 2018-10-26 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00033-018-1001-2 |
| Rok publikacji | 2018 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Zeitschrift für Angewandte Mathematik und Physik |
Abstract
We consider a parametric nonlinear nonhomogeneous elliptic equation, driven by the sum of two differential operators having different structure. The associated energy functional has unbalanced growth and we do not impose any global growth conditions to the reaction term, whose behavior is prescribed only near the origin. Using truncation and comparison techniques and Morse theory, we show that the problem has multiple solutions in the case of high perturbations. We also show that if a symmetry condition is imposed to the reaction term, then we can generate a sequence of distinct nodal solutions with smaller and smaller energies.
