EXISTENCE AND NONEXISTENCE OF SOLUTIONS FOR A HARMONIC EQUATION WITH CRITICAL NONLINEARITY

This paper is concerned with the harmonic equation ( P∓ɛ): ‡u = 0, u < 0 in Bn and ∂u∂v+n-22u=n-22Kunn-2∓ɛ on Sn-1 where Bn is the unit ball in ℝn, n ≥ 4 with Euclidean metric g0, ∂Bn=Sn-1 is its boundary, K is a function on Sn-1 and ε is a small positive parameter. We construct solutions of the...

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Veröffentlicht in:	Acta mathematica scientia 2016-09, Vol.36 (5), p.1305-1316
1. Verfasser:	OULD BOUH, Kamal
Format:	Artikel
Sprache:	eng
Schlagworte:	35J20 35J60 critical exponent critical points harmonic equation mean curvature variational problem
Online-Zugang:	Volltext
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