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A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators

Object's details: A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators

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Provider:Akademicka Platforma Czasopism

Description

Tytuł:
A multiplicity result for critical elliptic problems involving differences of local and nonlocal operators
Twórca:
Perera, Kanishka;
Sportelli, Caterina
Opis:
We study some critical elliptic problems involving the difference of two nonlocal operators, or the difference of a local operator and a nonlocal operator. The main result is the existence of two nontrivial weak solutions, one with negative energy and the other with positive energy, for all sufficiently small values of a parameter. The proof is based on an abstract result recently obtained in \cite{MR4293883}.
Dostępność obiektu:
free access
Prawa: https://creativecommons.org/licenses/by-nd/4.0 ;
Prawa autorskie (c) 2024 Kanishka Perera, Caterina Sportelli
Data:
2024.06.16
Typ:
info:eu-repo/semantics/article;
info:eu-repo/semantics/publishedVersion;
Recenzowany artykuł
Język:
English
Źródło:
Topological Methods in Nonlinear Analysis; Vol 63, No 2 (June 2024); 717 - 731;
1230-3429
Wydawca:
Nicolaus Copernicus University in Toruń
Relacja: https://apcz.umk.pl/TMNA/article/view/52724/38791 ;https://apcz.umk.pl/TMNA/article/view/52724/38792
Temat i słowa kluczowe:
Critical elliptic problems;
differences of local and nonlocal operators;
multiplicity of solutions;
Primary: 35R11;
Secondary: 35B33, 35J20
Identyfikator: https://apcz.umk.pl/TMNA/article/view/52724
Dostawca danych:
Akademicka Platforma Czasopism

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