Szczegóły publikacji
Opis bibliograficzny
Double phase anisotropic variational problems and combined effects of reaction and absorption terms / Qihu Zhang, Vicenţiu D. RĂDULESCU // Journal de Mathématiques Pures et Appliquées ; ISSN 0021-7824. — 2018 — vol. 118, s. 159–203. — Bibliogr. s. 201–203, Abstr. — Publikacja dostępna online od: 2018-06-18. — V. Rădulescu - dod. afiliacje: Institute of Mathematics “Simion Stoilow” of the Romanian Academy, Romania ; Institute of Mathematics, Physics and Mechanics, Slovenia
Autorzy (2)
- Zhang Qihu
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 117519 |
|---|---|
| Data dodania do BaDAP | 2018-10-26 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.matpur.2018.06.015 |
| Rok publikacji | 2018 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal de Mathématiques Pures et Appliquées |
Abstract
This paper deals with the existence of multiple solutions for the quasilinear equation-div A(x, del u)+V(x)vertical bar u vertical bar(alpha(x)-2) u = f (x, u) in R-N, which involves a general variable exponent elliptic operator in divergence form. The problem corresponds to double phase anisotropic phenomena, in the sense that the differential operator has behaviors like vertical bar xi vertical bar(q(x)-2) xi for small vertical bar xi vertical bar and like vertical bar xi vertical bar(q(x)-2) xi for large vertical bar xi vertical bar, where 1 < alpha(.) <= p(.) < q(.) < N. Our aim is to approach variationally the problem by using the tools of critical points theory in generalized Orlicz-Sobolev spaces with variable exponent. Our results extend the previous works A. Azzollini et al. (2014) [4] and N. Chorfi and V. Radulescu (2016) [11] from cases where the exponents p and q are constant, to the case where p(.) and q(.) are functions. We also substantially weaken some of the hypotheses in these papers and we overcome the lack of compactness by using the Cerami compactness condition. (C) 2018 Elsevier Masson SAS. All rights reserved.
