Positive Solutions to a Neumann Problem of Semilinear Elliptic System with Critical Nonlinearity
โ Scribed by Wei-hua Yang
- Publisher
- Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2006
- Tongue
- English
- Weight
- 243 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0168-9673
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๐ SIMILAR VOLUMES
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
In this paper, we consider positive classical solutions of h(s) is locally bounded in (0, โ) and h(s)s -(1+ 2 ฮฝ ) is non-decreasing in (0, โ) for the same ฮฝ. We get that the possible solution only depends on t, and several corollaries that include previous results of various authors are established