Abstract
We study the existence and the asymptotic behavior of positive solutions of the nonlinear equation $$\Delta u\;+\; \varphi(.,u)+\psi(.,u)=0,$$ in NTA- cones in $\mathbb{R}^n (n\geq 3)$.
Citation
M. A. Ben Boubaker. "Existence of Positive Solutions to Nonlinear Elliptic Problem in Nta-Conical Domains." Commun. Math. Anal. 17 (1) 35 - 46, 2014.
Information
Published: 2014
First available in Project Euclid: 20 October 2014
zbMATH: 1321.35014
MathSciNet: MR3270582
Subjects:
Primary:
31A05
,
31B35
,
35J08
,
35J74
Keywords:
Green function
,
Martin kernels
,
NTA- cone
,
Schauder fixed point theorem
,
superharmonic function
Rights: Copyright © 2014 Mathematical Research Publishers
