ON THE SOLVABILITY OF VARIABLE EXPONENT DIFFERENTIAL INCLUSION SYSTEMS WITH MULTIVALUED CONVECTION TERM
Bin Ge, Wen-Shuo Yuan · Rocky Mountain Journal of Mathematics · 2023
The variable exponent differential inclusion systems with a multivalued reaction term depending on the gradient are considered in this paper. Under general assumptions on the multivalued reaction term, we prove the existence of a nontrivial weak solution by using the surjectivity theorem.