scholarly journals Degenerate elliptic problem with a singular nonlinearity

2021 ◽  
pp. 1-18
Author(s):  
Abdelaaziz Sbai ◽  
Youssef El hadfi
Keyword(s):  
Elliptic Problem ◽  
Singular Nonlinearity ◽  
Degenerate Elliptic

On a variational degenerate elliptic problem

2000 ◽  
Vol 7 (2) ◽  
pp. 187-199 ◽  
Author(s):  
Paolo Caldiroli ◽  
Roberta Musina
Keyword(s):  
Elliptic Problem ◽  
Degenerate Elliptic

scholarly journals Existence results for some nonlinear degenerate problems in the anisotropic spaces

2021 ◽  
Vol 39 (6) ◽  
pp. 53-66
Author(s):  
Mohamed Boukhrij ◽  
Benali Aharrouch ◽  
Jaouad Bennouna ◽  
Ahmed Aberqi
Keyword(s):  
Elliptic Problem ◽  
Weak Solutions ◽  
Nonlinear Term ◽  
Existence Of Solutions ◽  
Existence Results ◽  
Existence Of Weak Solutions ◽  
Sign Condition ◽  
Degenerate Elliptic ◽  
Anisotropic Spaces ◽  
Nonlinear Degenerate

Our goal in this study is to prove the existence of solutions for the following nonlinear anisotropic degenerate elliptic problem:- \partial_{x_i} a_i(x,u,\nabla u)+ \sum_{i=1}^NH_i(x,u,\nabla u)= f- \partial_{x_i} g_i \quad \mbox{in} \ \ \Omega,where for $i=1,...,N$ $ a_i(x,u,\nabla u)$ is allowed to degenerate with respect to the unknown u, and $H_i(x,u,\nabla u)$ is a nonlinear term without a sign condition. Under suitable conditions on $a_i$ and $H_i$, we prove the existence of weak solutions.

Existence and regularity of positive solutions of a degenerate elliptic problem

2018 ◽  
Vol 292 (1) ◽  
pp. 56-78 ◽  
Author(s):  
ZongMing Guo ◽  
XiaoHong Guan ◽  
FangShu Wan
Keyword(s):  
Positive Solutions ◽  
Elliptic Problem ◽  
Degenerate Elliptic
Sign in / Sign up

Export Citation Format

Share Document