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Solvability of Parametric Elliptic Systems with Variable Exponents.
- Source :
-
Moroccan Journal of Pure & Applied Analysis . Sep2023, Vol. 9 Issue 3, p311-330. 20p. - Publication Year :
- 2023
-
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]
Details
- Language :
- English
- ISSN :
- 23518227
- Volume :
- 9
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Moroccan Journal of Pure & Applied Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 175367232
- Full Text :
- https://doi.org/10.2478/mjpaa-2023-0021