The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term

The existence and nonexistence of entire positive solutions of semilinear elliptic systems with gradient term

We show the existence and nonexistence of entire positive solutions for semilinear elliptic system with gradient term ?u+|?u|=p(|x|)f(u,v)?u+|?u|=p(|x|)f(u,v), ?v+|?v|=q(|x|)g(u,v)?v+|?v|=q(|x|)g(u,v) on RNRN, N?3N?3, provided that nonlinearities f and g are positive and continuous, the potentials p...

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Bibliographic Details
Main Authors: Zhang, Xinguang, Liu, L.
Format: Journal Article
Published: Academic Press 2010
Subjects:
Bounded solution
Large solution
Entire solution
Semilinear elliptic problem
Online Access:http://hdl.handle.net/20.500.11937/44021

Internet

http://hdl.handle.net/20.500.11937/44021

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