VARIATIONAL ANALYSIS FOR FRACTIONAL EQUATIONS WITH VARIABLE EXPONENTS: EXISTENCE, MULTIPLICITY AND NONEXISTENCE RESULTS.

In this paper, we study the question of the existence and nonexistence of solutions for some fractional equations with variable exponents. This paper generalizes some analog results in the classical fractional one. As we know, there are no previous results on the nonexistence of solutions for nonlinear equations with fractional p (⋅ , ⋅) -Laplacian. [ABSTRACT FROM AUTHOR]