Another approach to the Dirichlet problem for very strongly nonlinear elliptic equations

1976 ◽  
pp. 425-437
Author(s):  
C. G. Simader
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equations ◽  
Nonlinear Elliptic Equations ◽  
Strongly Nonlinear ◽  
Nonlinear Elliptic

Existence of renormalized solutions for some strongly nonlinear elliptic equations in Orlicz spaces

2015 ◽  
Vol 22 (3) ◽  
Author(s):  
Azeddine Aissaoui Fqayeh ◽  
Abdelmoujib Benkirane ◽  
Mostafa El Moumni ◽  
Ahmed Youssfi
Keyword(s):  
Dirichlet Problem ◽  
Elliptic Equations ◽  
Orlicz Spaces ◽  
Nonlinear Elliptic Equations ◽  
Renormalized Solutions ◽  
Renormalized Solution ◽  
Strongly Nonlinear ◽  
Nonlinear Elliptic

AbstractWe prove the existence of a renormalized solution for the Dirichlet problem associated to the nonlinear elliptic equations div

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.

Sign in / Sign up

Export Citation Format

Share Document