Strongly quasilinear elliptic systems with perturbations through yong measures

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Abdelali Daife
Elhoussine Azroul

Abstract

We use the Galerkin method to obtain weak solutions for strongly quasilinear elliptic systems in the Sobolev space W1,p0(Ω; ℝm) of the form Gϖ(x) = f(x,ϖ,Dϖ) in Ω, with ϖ(x) = 0 on ∂Ω, where the term Gϖ(x) includes perturbations. Our approach involves the use of Young measures to obtain the desired results.

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How to Cite
Daife, A., & Azroul, E. (2024). Strongly quasilinear elliptic systems with perturbations through yong measures. Gulf Journal of Mathematics, 17(2), 91-114. https://doi.org/10.56947/gjom.v17i2.1907
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