On semilinear Neumann problems with critical growth for the n-Laplacian
β Scribed by Ratikanta Panda
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 807 KB
- Volume
- 26
- Category
- Article
- ISSN
- 0362-546X
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π SIMILAR VOLUMES
We consider the following problem, where ΞΌ > 0 is a large parameter, Ξ© is a bounded domain in R N , N 3 and 2 \* = 2N/(N -2). Let H (P ) be the mean curvature function of the boundary. Assuming that H (P ) has a local minimum point with positive minimum, then for any integer k, the above problem ha
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