UNIQUENESS OF POSITIVE SOLUTIONS OF A QUASI-LINEAR DIRICHLET PROBLEM WITH EXPONENTIAL NONLINEARITY

Authors
ADIMURTHI
Citation
Adimurthi, UNIQUENESS OF POSITIVE SOLUTIONS OF A QUASI-LINEAR DIRICHLET PROBLEM WITH EXPONENTIAL NONLINEARITY, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 128, 1998, pp. 895-906
Citations number
8
Categorie Soggetti
Mathematics,Mathematics,Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
128
Year of publication
1998
Part
5
Pages
895 - 906
Database
ISI
SICI code
0308-2105(1998)128:<895:UOPSOA>2.0.ZU;2-U
Abstract
Uniqueness of positive solutions of the following equation: -div (\del u\(n-2)del u)=lambda u(n-1)e(u) in B, u > 0 in B, u = 0 on partial de rivative B has been obtained, where B subset of R-n is the ball of uni t radius and lambda > 0. Moreover, if n = 2, then the solutions are no ndegenerate.