Existence of a mountain pass solution for a nonlocal fractional ( p , q ) $(p, q)$ -Laplacian problem

Autor: F. Behboudi, A. Razani, M. Oveisiha
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Boundary Value Problems, Vol 2020, Iss 1, Pp 1-14 (2020)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-020-01446-w
Popis: Abstract Here, a nonlocal nonlinear operator known as the fractional ( p , q ) $(p,q)$ -Laplacian is considered. The existence of a mountain pass solution is proved via critical point theory and variational methods. To this aim, the well-known theorem on the construction of the critical set of functionals with a weak compactness condition is applied.
Databáze: Directory of Open Access Journals
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