Positive blowup solutions for some fractional systems in bounded domains
Using some potential theory tools and the Schauder fixed point theorem, we prove the existence of a positive continuous weak solution for the fractional system $$ ( -Delta )^{alpha/2}u+ p(x)u^{sigma }v^{r}=0,quad (-Delta)^{alpha/2}v+q(x)u^{s}v^{eta }=0 $$ in a bounded $ C^{1,1}$-domain D in $...
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| Format: | Article |
| Language: | English |
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Texas State University
2013-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/33/abstr.html |