Abstract
In this article, we use approximation techniques and variational methods to study a class of nonlocal equations with variable exponents and mixed criticality. We prove the existence of the ground state nontrivial solutions with the least energy. Our results are applied to a specific Schrödinger-Poisson type system.
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Details
1 Guilin University of Technology, School of Mathematic and Statistics, Guilin, P.R. China (GRID:grid.440725.0) (ISNI:0000 0000 9050 0527); Guangxi Colleges and Universities Key Laboratory of Applied Statistics, Guilin, P.R. China (GRID:grid.440725.0)