2023
DOI: 10.2298/fil2320905a
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Existence results for some elliptic systems with perturbed gradient

Said Ait Temghart,
Hammar El Hasnae,
Chakir Allalou
et al.

Abstract: In this paper, we consider the existence of weak solutions for some nonlinear elliptic problems with perturbed gradient under homogeneous Dirichlet boundary conditions. We apply the Galerkin approximation and the convergence in term of Young measure combined with the theory of Sobolev spaces to obtain the existence of at least one weak solution u ? W1,p 0 (?;Rm).

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