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Positive solutions of the semilinear Dirichlet problem with critical growth in the unit disc in ℝ2

✍ Scribed by Adimurthi

Book ID
112922823
Publisher
Indian Academy of Sciences
Year
1989
Tongue
English
Weight
667 KB
Volume
99
Category
Article
ISSN
0253-4142

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✍ F. AdimurthiPacella; S.L. Yadava 📂 Article 📅 1993 🏛 Elsevier Science 🌐 English ⚖ 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