MMN-4119
Existence of weak solutions for a double phase variable exponent problem with a gradient dependent reaction term
Mohamed El Ouaarabi; Chakir Allalou; Said Melliani;Abstract
In the present paper, we study the existence of at least one weak solutions for a class of double phase variable exponent problems with a reaction term depending on the gradient and on two real parameters. By using the topological degree theory for a class of demicontinuous operators of generalized $(S_{+})$ and the theory of the variable exponent Sobolev spaces, we obtain the existence of at least one weak solution of this problem.
Vol. 24 (2023), No. 2, pp. 965-979
DOI: 10.18514/MMN.2023.4119