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Topological degree methods for a Strongly nonlinear p(x)-elliptic problem
Métodos de grado topológico para un problema p(x)-elíptico fuertemente no lineal
DOI :
https://doi.org/10.15446/recolma.v53n1.81036Mots-clés :
Strongly nonlinear elliptic problem, Generalized Lebesgue and Sobolev spaces, p(x)-Laplacian, Topological Degree (en)Problema elíptico fuertemente no lineal, espacios generalizados de Lebesgue y Sobolev, p(x)-Laplaciano, grado topológico (es)
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This article is devoted to study the existence of weak solutions for the strongly nonlinear p(x)-elliptic problem Our technical approach is based on the recent Berkovits topological degree.
Este artículo está dedicado a estudiar la existencia de soluciones débiles para el problema p(x)-elíptico fuertemente no lineal Nuestro enfoque técnico se basa en el reciente grado topologico de Berkovits.
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1. D. Nabab, J. Vélin. (2022). On a nonlinear elliptic system involving the (p(x),q(x))-Laplacian operator with gradient dependence. Complex Variables and Elliptic Equations, 67(7), p.1554. https://doi.org/10.1080/17476933.2021.1885385.
2. Adil Abbassi, Chakir Allalou, Abderrazak Kassidi. (2020). Topological degree methods for a Neumann problem governed by nonlinear elliptic equation. Moroccan Journal of Pure and Applied Analysis, 6(2), p.231. https://doi.org/10.2478/mjpaa-2020-0018.
3. Mustapha Ait Hammou, Elhoussine Azroul. (2021). Existence result for a nonlinear elliptic problem by topological degree in Sobolev spaces with variable exponent. Moroccan Journal of Pure and Applied Analysis, 7(1), p.50. https://doi.org/10.2478/mjpaa-2021-0006.
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