On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth (Q1848001)
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scientific article; zbMATH DE number 1821306
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth |
scientific article; zbMATH DE number 1821306 |
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On the location of the peaks of least-energy solutions to semilinear Dirichlet problems with critical growth (English)
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29 October 2002
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Summary: We study the location of the peaks of solution for the critical growth problem \(-\epsilon^{2}\Delta u+u=f (u)+u^{{2*}-1}\), \(u>0\) in \(\Omega\), \(u=0\) on \(\partial \Omega\), where \(\Omega\) is a bounded domain; \(^{2*}=2N/(N-2)\), \(N\geq 3\), is the critical Sobolev exponent and \(f\) has a behavior like \(u^{p}\), \(1<p<^{2*}-1\).
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