Topological degree methods in the existence studies of P-laplacian equations

2010 ◽  
Author(s):  
Yuan Wang
Keyword(s):  
Topological Degree ◽  
Topological Degree Methods ◽  
Laplacian Equations

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

2020 ◽  
Vol 6 (2) ◽  
pp. 231-242
Author(s):  
Adil Abbassi ◽  
Chakir Allalou ◽  
Abderrazak Kassidi
Keyword(s):  
Elliptic Equation ◽  
Topological Degree ◽  
Nonlinear Elliptic Equation ◽  
Neumann Boundary ◽  
Existence Of Weak Solutions ◽  
Bounded Smooth Domain ◽  
Nonlinear Elliptic ◽  
Topological Degree Methods ◽  
Bounded Smooth ◽  
Neumann Boundary Value Problems

AbstractIn 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- 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.

Topological degree methods for partial differential operators in generalized Sobolev spaces

2021 ◽  
Vol 39 (2) ◽  
pp. 39-61
Author(s):  
Mustapha Ait Hammou ◽  
Elhoussine Azroul ◽  
Badr Lahmi
Keyword(s):  
Topological Degree ◽  
Nonlinear Elliptic Equation ◽  
Differential Operators ◽  
Existence Of Solutions ◽  
Divergence Form ◽  
Generalized Sobolev Spaces ◽  
Nonlinear Elliptic ◽  
Partial Differential Operators ◽  
Topological Degree Methods ◽  
General Divergence

The main aim of this paper is to prove, by using the topological degree methods, the existence of solutions for nonlinear elliptic equation Au = f where Au  is partial dierential operators of general divergence form.

Periodic Solutions of Systems with Singularities of Repulsive Type

2011 ◽  
Vol 11 (1) ◽  
Author(s):  
Pablo Amster ◽  
Manuel Maurette
Keyword(s):  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Periodic Solutions ◽  
Topological Degree ◽  
Second Order ◽  
Order System ◽  
Motion Model ◽  
Topological Degree Methods ◽  
Central Motion

AbstractMotivated by the classical Coulomb central motion model, we study the existence of T-periodic solutions for the nonlinear second order system of singular ordinary differential equations u′′ + g(u) = p(t). Using topological degree methods, we prove that when the nonlinearity g : ℝ

scholarly journals Topological degree methods for a Strongly nonlinear p(x)-elliptic problem

2019 ◽  
Vol 53 (1) ◽  
pp. 27-39
Author(s):  
Mustapha Ait Hammou ◽  
Elhoussine Azroul ◽  
Badr Lahmi
Keyword(s):  
Elliptic Problem ◽  
Weak Solutions ◽  
Topological Degree ◽  
Technical Approach ◽  
Existence Of Weak Solutions ◽  
Strongly Nonlinear ◽  
Topological Degree Methods

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.

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