Existence results for some nonlinear elliptic equations via topological degree methods

2021 ◽  
Author(s):  
Adil Abbassi ◽  
Chakir Allalou ◽  
Abderrazak Kassidi
Keyword(s):  
Elliptic Equations ◽  
Topological Degree ◽  
Nonlinear Elliptic Equations ◽  
Existence Results ◽  
Nonlinear Elliptic ◽  
Topological Degree Methods

Existence results for the Dirichlet problem of some degenerate nonlinear elliptic equations

2014 ◽  
Vol 20 (2) ◽  
Author(s):  
Albo Carlos Cavalheiro
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equations ◽  
Existence And Uniqueness ◽  
Nonlinear Elliptic Equations ◽  
Existence Results ◽  
Uniqueness Of Solutions ◽  
Nonlinear Elliptic

AbstractIn this paper we are interested in the existence and uniqueness of solutions for the Dirichlet problem associated to the degenerate nonlinear elliptic equations

scholarly journals Existence Results For A Class Of Nonlinear Degenerate Elliptic Equations

2019 ◽  
Vol 5 (2) ◽  
pp. 164-178
Author(s):  
Albo Carlos Cavalheiro
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equations ◽  
Existence Of Solutions ◽  
Weighted Sobolev Spaces ◽  
Nonlinear Elliptic Equations ◽  
Existence Results ◽  
Degenerate Elliptic Equations ◽  
Nonlinear Elliptic ◽  
Degenerate Elliptic ◽  
Nonlinear Degenerate

AbstractIn this paper we are interested in the existence of solutions for Dirichlet problem associated with the degenerate nonlinear elliptic equations\left\{ {\matrix{ { - {\rm{div}}\left[ {\mathcal{A}\left( {x,\nabla u} \right){\omega _1} + \mathcal{B}\left( {x,u,\nabla u} \right){\omega _2}} \right] = {f_0}\left( x \right) - \sum\limits_{j = 1}^n {{D_j}{f_j}\left( x \right)\,\,{\rm{in}}} \,\,\,\,\,\Omega ,} \hfill \cr {u\left( x \right) = 0\,\,\,\,{\rm{on}}\,\,\,\,\partial \Omega {\rm{,}}} \hfill \cr } } \right.in the setting of the weighted Sobolev spaces.

Comparison and Existence Results for Classes of Nonlinear Elliptic Equations with General Growth in the Gradient

2007 ◽  
Vol 7 (1) ◽  
Author(s):  
Vincenzo Ferone ◽  
Basilio Messano
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Principal Term ◽  
Existence Results ◽  
Nonlinear Elliptic ◽  
General Growth

AbstractIn this paper we study the Dirichlet problem for a class of nonlinear elliptic equations in the form A(u) = H(x, u, Du), where the principal term is a Leray-Lions operator defined on W

Existence results for nonlinear elliptic equations with degenerate coercivity

2003 ◽  
Vol 182 (1) ◽  
pp. 53-79 ◽  
Author(s):  
Angelo Alvino ◽  
Lucio Boccardo ◽  
Vincenzo Ferone ◽  
Luigi Orsina ◽  
Guido Trombetti
Keyword(s):  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Existence Results ◽  
Nonlinear Elliptic ◽  
Degenerate Coercivity
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