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

Author:

Behboudi F.,Razani A.ORCID,Oveisiha M.

Abstract

AbstractHere, 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.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory,Analysis

Reference42 articles.

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