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
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
