An existence result for elliptic problems with singular critical growth
We prove the existence of nontrivial solutions for the singular critical problem $$ -Delta u-mu frac{u}{|x|^{2}}=lambda f(x)u+u^{2^{ast }-1} $$ with Dirichlet boundary conditions. Here the domain is a smooth bounded subset of $mathbb{R}^N$, $Ngeq 3$, and $2^{ast }=frac{2N}{N-2}$ which is th...
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| Format: | Article |
| Language: | English |
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Texas State University
2007-06-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2007/84/abstr.html |