Topological degree methods for a Neumann problem governed by nonlinear elliptic equation

Autor:	Adil Abbassi, Abderrazak Kassidi, Chakir Allalou
Rok vydání:	2020
Předmět:	Numerical Analysis Pure mathematics Control and Optimization Degree (graph theory) Applied Mathematics 010102 general mathematics 01 natural sciences 010101 applied mathematics Elliptic curve Nonlinear system Neumann boundary condition 0101 mathematics Analysis Mathematics
Zdroj:	Moroccan Journal of Pure and Applied Analysis. 6:231-242
ISSN:	2351-8227
DOI:	10.2478/mjpaa-2020-0018
Popis:	In this paper, we will use the topological degree, introduced by Berkovits, to prove existence of weak solutions to a Neumann boundary value problems for the following nonlinear elliptic equation - d i v a ( x , u , ∇ u ) = b ( x ) | u | p - 2 u + λ H ( x , u , ∇ u ) , - div\,\,a\left( {x,u,\nabla u} \right) = b\left( x \right){\left| u \right|^{p - 2}}u + \lambda H\left( {x,u,\nabla u} \right), where Ω is a bounded smooth domain of 𝕉 N .
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::01c88d721134e792a52fc39babf308ad https://doi.org/10.2478/mjpaa-2020-0018 Zobrazit plný text záznamu