Geodesic
Existence results for some elliptic systems with perturbed gradient
Filomat, Tome 37 (2023) no. 20, p. 6905

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DOI

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 (Ω;Rm).
DOI : 10.2298/FIL2320905A
Classification : 35J60, 35D05, 76A05
Keywords: Elliptic systems, Weak solutions, Galerkin method, Young measures 
Said Ait Temghart; Hasnae El Hammar; Chakir Allalou; Khalid Hilal. Existence results for some elliptic systems with perturbed gradient. Filomat, Tome 37 (2023) no. 20, p. 6905 . doi: 10.2298/FIL2320905A
@article{10_2298_FIL2320905A,
     author = {Said Ait Temghart and Hasnae El Hammar and Chakir Allalou and Khalid Hilal},
     title = {Existence results for some elliptic systems with perturbed gradient},
     journal = {Filomat},
     pages = {6905 },
     year = {2023},
     volume = {37},
     number = {20},
     doi = {10.2298/FIL2320905A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2320905A/}
}
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