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

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

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 funct...

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Bibliographic Details
Main Authors: F. Behboudi, A. Razani, M. Oveisiha
Format: Article
Language:English
Published: SpringerOpen 2020-09-01
Series:Boundary Value Problems
Subjects:
Fractional Laplacian equations
Variational methods
Fractional eigenvalue problems
Mountain pass theorem
Online Access:http://link.springer.com/article/10.1186/s13661-020-01446-w

Internet

http://link.springer.com/article/10.1186/s13661-020-01446-w

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