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Existence of Positive Solutions to Nonlinear Elliptic Problem in Nta-Conical Domains

Commun. Math. Anal.
Volume 17, Number 1 (2014), 35 - 46

Existence of Positive Solutions to Nonlinear Elliptic Problem in Nta-Conical Domains

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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 ${\mathbb R}^n (\; n\geq 3$).