Szczegóły publikacji
Opis bibliograficzny
Unbalanced fractional elliptic problems with exponential nonlinearity: subcritical and critical cases / Deepak Kumar, Vicenţiu D. RǍDULESCU, Konijeti Sreenadh // Topological Methods in Nonlinear Analysis ; ISSN 1230-3429. — 2022 — vol. 59 no. 1, s. 277–302. — Bibliogr. s. 299–302, Abstr. — Publikacja dostępna online od: 2022-03-13. — V. Rǎdulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Romania
Autorzy (3)
- Kumar Deepak
- AGHRǎdulescu Vicenţiu
- Sreenadh Konijeti
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 140239 |
|---|---|
| Data dodania do BaDAP | 2022-05-30 |
| DOI | 10.12775/TMNA.2021.026 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Topological Methods in Nonlinear Analysis |
Abstract
This paper deals with the qualitative analysis of solutions to the following (p, q)-fractional equation: (-Delta)(p)(s1)u + (-Delta)(q)(s2)u + V (x)(|u|(p-2)u + |u|(q-2)u) = K(x)f (u)/vertical bar x vertical bar/vertical bar x vertical bar(beta) in R-N, where 1 < q < p, 0 < s2 <= s1 < 1, ps1 = N, beta is an element of [0, N), and V, K : RN -> R, f : R -> R are continuous functions satisfying some natural hypotheses. We are concerned both with the case when f has a subcritical growth and with the critical framework with respect to the exponential nonlinearity. By combining a Moser-Trudinger type inequality for fractional Sobolev spaces with Schwarz symmetrization techniques and related variational and topological methods, we prove the existence of nonnegative solutions.
