Year: 2024
Type: article
Abstract: In this article, we establish the existence of multiple, infinitely many, nontrivial solutions to a class of nonlinear fractional elliptic systems in fractional variational form subject to pointwise gradient constraint and pure Dirichlet-type boundary conditions. We use a topological class of maps referred to as generalized twists and examine them in connection with the later system of fractional Euler-Lagrange equations and prove the existence of a countably infinite of topologically distinct twisting solutions to this system.
Source: Boundary Value Problems
Authors: F. Toosnezhad, M. S. Shahrokhi-Dehkordi
Institution: Shahid Beheshti University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $1,790
OpenAlex ID: W4402925017