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1. EXISTENCE OF WEAK SOLUTIONS FOR A DOUBLE PHASE VARIABLE EXPONENT PROBLEM WITH A GRADIENT DEPENDENT REACTION TERM.

Author

OUAARABI, MOHAMED EL, ALLALOU, CHAKIR, and MELLIANI, SAID

Subjects
*FEEDBACK control systems, *VIBRATION (Mechanics), *LAPLACIAN operator, *MATHEMATICS, *VECTOR fields
Abstract

In the present paper, we study the existence of at least one weak solution for a class of double phase variable exponent problem 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. [ABSTRACT FROM AUTHOR]

Published
2023
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