Open AccessEntire Blow-Up Solutions of Semilinear Elliptic Systems with Quadratic Gradient Terms
Author(s) -
Yong-Ju Yang,
Xinguang Zhang
Publication year - 2012
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2012/697565
Subject(s) - algorithm , computer science
We study the existence of entire positive solutions for the semilinear elliptic system with quadratic gradient terms, for on and . We establish the conditions on that ensure the existence of nonnegative radial solutions blowing up at infinity and also the conditions for bounded solutions on the entire space. The condition on is simple and different to the Keller-Osserman condition
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