Szczegóły publikacji

Opis bibliograficzny

Non-homogeneous Dirichlet problems with concave-convex reaction / Gabriele Bonanno, Roberto Livrea, Vicenţiu RǍDULESCU // Rendiconti Lincei-Matematica e Applicazioni ; ISSN 1120-6330. — 2021 — vol. 32 iss. 4, s. 799–818. — Bibliogr., Abstr. — Publikacja dostępna online od: 2022-02-21. — V. Rǎdulescu - dod. afiliacja: University of Craiova, Romania ; Romanian Academy, Bucharest

Autorzy (3)

Słowa kluczowe

non linear elliptic problemmultiple solutionsp-Laplace operatorvariational methodscritical point

Dane bibliometryczne

ID BaDAP139075
Data dodania do BaDAP2022-02-22
DOI10.4171/RLM/959
Rok publikacji2021
Typ publikacjiartykuł w czasopiśmie
Otwarty dostęptak
Czasopismo/seriaRendiconti Lincei-Matematica e Applicazioni

Abstract

The variational methods are adopted for establishing the existence of at least two nontrivial solutions for a Dirichlet problem driven by a non-homogeneous di¤erential operator of p-Laplacian type. A large class of nonlinear terms is considered, covering the concave-convex case. In particular, two positive solutions to the problem are obtained under a ð p 1Þ-superlinear growth at infinity, provided that a behaviour less than ð p 1Þ-linear of the nonlinear term in a suitable set is requested.

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