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Revista Colombiana de Matemáticas
versão impressa ISSN 0034-7426
Rev.colomb.mat. vol.53 no.1 Bogotá jan./jun. 2019
Original articles
Topological degree methods for a Strongly nonlinear p(x)-elliptic problem
Métodos de grado topológico para un problema p(x)-elíptico fuertemente no lineal
1 Universidad Sidi Mohamed Ibn Abdellah, Fes, Marruecos. Departamento de Matemáticas, Universidad Sidi Mohamed Ibn Abdellah, Facultad de Ciencias Dhar El Mahraz Fes, Marruecos. e-mail: mustapha.aithammou@usmba.ac.ma
2 Universidad Sidi Mohamed Ibn Abdellah, Fes, Marruecos. Departamento de Matemáticas, Universidad Sidi Mohamed Ibn Abdellah, Facultad de Ciencias Dhar El Mahraz Fes, Marruecos. e-mail: elhoussine.azroul@usmba.ac.ma
3 Universidad Sidi Mohamed Ibn Abdellah, Fes, Marruecos. Departamento de Matemáticas, Universidad Sidi Mohamed Ibn Abdellah, Facultad de Ciencias Dhar El Mahraz Fes, Marruecos. e-mail: lahmi.badr@gmail.com
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.
Key words and phrases: Strongly nonlinear elliptic problem; Generalized Lebesgue and Sobolev spaces; p(x)-Laplacian; 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 topológico de Berkovits.
Palabras y frases clave: Problema elíptico fuertemente no lineal; espacios generalizados de Lebesgue y Sobolev; p(x)-Laplaciano; grado topológico
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Received: June 2018; Accepted: November 2018
This is an open-access article distributed under the terms of the Creative Commons Attribution License
