topological degree methods
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2021 ◽  
Vol 39 (2) ◽  
pp. 39-61
Author(s):  
Mustapha Ait Hammou ◽  
Elhoussine Azroul ◽  
Badr Lahmi

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.



2020 ◽  
Vol 6 (2) ◽  
pp. 231-242
Author(s):  
Adil Abbassi ◽  
Chakir Allalou ◽  
Abderrazak Kassidi

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.



2019 ◽  
Vol 53 (1) ◽  
pp. 27-39
Author(s):  
Mustapha Ait Hammou ◽  
Elhoussine Azroul ◽  
Badr Lahmi

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.



2011 ◽  
Vol 11 (1) ◽  
Author(s):  
Pablo Amster ◽  
Manuel Maurette

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





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