1. Solvability of Parametric Elliptic Systems with Variable Exponents.
- Author
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Ouannasser, Anass and El Hachimi, Abderrahmane
- Subjects
- *
EXPONENTS , *EIGENVALUES , *MONOTONE operators , *VARIATIONAL approach (Mathematics) , *EXISTENCE theorems - 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. [ABSTRACT FROM AUTHOR]
- Published
- 2023
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