Multiple positive solutions for equations involving critical Sobolev exponent in R^N
$$ -{ m div }(|abla u|^{m-2}abla u) = lambda h u^q+u^{m^*-1},quad{ m in}quad R^N,. $$ Using the Ekeland Variational Principle and the Mountain Pass Theorem, we show the existence of $lambda ^*>0$ such that there are at least two non-negative solutions for each $lambda$ in $(0,lambda ^*)$.
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| Format: | Article |
| Language: | English |
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Texas State University
1997-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/1997/13/abstr.html |