Existence of weak solutions for a class of systems semilinear elliptics

• Autor: Tineo Condeña, Marlon Yvan
• Formato: artículo
• Fecha de Publicación: 2018
• Institución: Universidad Nacional Mayor de San Marcos
• Repositorio: Revistas - Universidad Nacional Mayor de San Marcos
• Lenguaje: español
• OAI Identifier: oai:ojs.csi.unmsm:article/15078
• Enlace del recurso: https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/15078
• Nivel de acceso: acceso abierto
• Materia: ecuación elíptica degenerada; sistema elíptico semilineal; teorema del paso de la montaña; degenerate elliptic equations; semilinear potential elliptic system; Mountain Pass Theorem

This article summarizes the main contributions of the thesis with the title "Existence of solutions for a class of semilinear elliptical systems". This thesis focuses on a didactic exhibition of the article published by Afrouzi, G., Mirzapour, A. and Zographopoulos, N.[1], whose objective is to prove the existence of weak solutions to a class of semilinear potential elliptic systems of the formwhere the domain Ω is a bounded domain in ℝN (N > 2), regular border, the weights a(x), b(x) are measurable nonnegative weights on Ω, (Fu, Fv) = ∇F stands for the gradient of F in the variables (u; v) ∈ ℝ2 and λ is a positive parameter.