an existence result for elliptic problems with singular critical growth
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ID: 259629
2007
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Abstract
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 the critical Sobolev exponent.
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nasri2007electronican
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| Authors | ;Yasmina Nasri |
| Journal | icsoft 2006 - 1st international conference on software and data technologies, proceedings |
| Year | 2007 |
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