Interaction between the Geometry of the
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F. AdimurthiPacella; S.L. Yadava
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Article
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1993
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Elsevier Science
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English
β 837 KB
We consider the problem: \(-\Delta u+\lambda u=u^{(n+2) /(n-2)}, u>0\) in \(\Omega, \partial u / \hat{\partial} v=0\) on \(\partial \Omega\), where \(\Omega\) is a bounded smooth domain in \(\mathbb{R}^{n}(n \geqslant 3)\). We show that, for \(\lambda\) large, least-energy solutions of the above pro