Existence of multiple solutions for a nonlinearly perturbed elliptic parabolic system in $R^2$
We consider the following nonlinearly perturbed version of the elliptic-parabolic system of Keller-Segel type: $$displaylines{ partial_tu - Delta u+ abla cdot(u abla v)=0,quad t>0,; xinmathbb{R}^2, cr -Delta v+v-v^p=u,quad t>0,; xinmathbb{R}^2,cr u(0,x) =u_0(x)ge 0,quad xinmathbb{R}^2,...
| Format: | Article |
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| Language: | English |
| Published: |
Texas State University
2009-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/32/abstr.html |