Szczegóły publikacji
Opis bibliograficzny
High perturbations of quasilinear problems with double criticality / Claudianor O. Alves, Prashanta Garain, Vicenţiu D. RĂDULESCU // Mathematische Zeitschrift ; ISSN 0025-5874. — 2021 — vol. 299 iss. 3–4, s. 1875–1895. — Bibliogr. s. 1894–1895, Abstr. — Publikacja dostępna online od: 2021-04-23. — V. D. Rădulescu - dod. afiliacje: University of Craiova, Craiova, Romania ; ‘Simion Stoilow’ Institute of Mathematics of the Romanian Academy, Bucharest, Romania
Autorzy (3)
- Alves Claudianor O.
- Garain Prashanta
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 137437 |
|---|---|
| Data dodania do BaDAP | 2021-11-26 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00209-021-02757-z |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Mathematische Zeitschrift |
Abstract
This paper is concerned with the qualitative analysis of solutions to the following class of quasilinear problems {-ΔΦu=f(x,u)inΩ,u=0on∂Ω,where ΔΦu=div(φ(x,|∇u|)∇u) and Φ(x,t)=∫0|t|φ(x,s)sds is a generalized N-function. We assume that Ω ⊂ RN is a smooth bounded domain that contains two open regions Ω N, Ω p with Ω ¯ N∩ Ω ¯ p= ∅. The features of this paper are that - Δ Φu behaves like - Δ Nu on Ω N and - Δ pu on Ω p, and that the growth of f: Ω × R→ R is like that of eα|t|NN-1 on Ω N and as |t|p∗-2t on Ω p when |t| is large enough. The main result establishes the existence of solutions in a suitable Musielak–Sobolev space in the case of high perturbations with respect to the values of a positive parameter.