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Evolution of Positive Solution Curves in Semipositone Problems with Concave Nonlinearities

✍ Scribed by Alfonso Castro; Sudhasree Gadam; R. Shivaji


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
110 KB
Volume
245
Category
Article
ISSN
0022-247X

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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