Existence of a minimal positive solutions for some singularity elliptic equation

2014 ◽  
pp. 364-367
Keyword(s):  
Elliptic Equation ◽  
Positive Solutions

Positive Solutions for the Generalized Nonlinear Logistic Equations

2016 ◽  
Vol 59 (01) ◽  
pp. 73-86 ◽  
Author(s):  
Leszek Gasiński ◽  
Nikolaos S. Papageorgiou
Keyword(s):  
Differential Operator ◽  
Elliptic Equation ◽  
Positive Solutions ◽  
Type Result ◽  
Logistic Equations ◽  
Nonhomogeneous Differential Operator

AbstractWe consider a nonlinear parametric elliptic equation driven by a nonhomogeneous differential operator with a logistic reaction of the superdiòusive type. Using variationalmethods coupled with suitable truncation and comparison techniques, we prove a bifurcation type result describing the set of positive solutions as the parameter varies.

scholarly journals Bifurcation results of positive solutions for an elliptic equation with nonlocal terms

2021 ◽  
Vol 6 (9) ◽  
pp. 9547-9567
Author(s):  
Jiaqing Hu ◽  
◽  
Xian Xu ◽  
Qiangqiang Yang ◽  
Keyword(s):  
Elliptic Equation ◽  
Positive Solutions ◽  
Nonlocal Terms
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