Title of article
Existence of solutions for a quasilinear elliptic system with variable exponent
Author/Authors
Azroul, Elhoussine University of Sidi Mohamed Ben Abdellah - Faculty of Sciences Dhar El Mehraz, Morocco , Balaadich, Farah University of Sidi Mohamed Ben Abdellah - Faculty of Sciences Dhar El Mehraz, Morocco
Pages
13
From page
205
To page
217
Abstract
We consider the following quasilinear elliptic system in a Sobolev space with variable exponent:
where a is a C1-function and . We use the theory of Young measures and weak monotonicity conditions to obtain the existence of solutions.
Keywords
Quasilinear elliptic systems , Sobolev spaces with variable exponent , Weak solutions , Young measures
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2021
Record number
2701586
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