1. Solvability of Parametric Elliptic Systems with Variable Exponents
- Author
-
Ouannasser Anass and El Hachimi Abderrahmane
- Subjects
p(x)-laplacian ,positive infimum ,weak solution ,existence and uniqueness ,35a15 ,35b38 ,35j62 ,Mathematics ,QA1-939 - Abstract
In this paper, we study the solvability to the left of the positive infimum of all eigenvalues for some non-resonant quasilinear elliptic problems involving variable exponents. We first prove the existence of at least a weak solution for some non-variational systems by using a surjectivity result for pseudomonotone operators. Furthermore, under additional conditions, we show that the solution is unique and provide examples. Second, we deal with non-resonant gradient-type systems and obtain existence by using a variational approach.
- Published
- 2023
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