Existence of weak solutions for nonlinear elliptic systems on $R^N$
In this paper, we consider the nonlinear elliptic system $$displaylines{ -Delta_pu=a(x)|u|^{p-2}u-b(x)|u|^alpha|v|^eta v+f,cr -Delta_qv=-c(x)|u|^alpha |v|^eta u + d(x) |v|^{q-2}v +g ,cr lim_{|x|oinfty}u=lim_{|x|oinfty}v=0quad u,v>0 }$$ on a bounded and unbounded domains of mathbb{R}^N,...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2006-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/69/abstr.html |