Adimurthi, ; Pacella, Filomena ; Yadava, S. L. (1995) Characterization of concentration points and L∞ - estimates for solutions of a Semilinear Neumann problem involving the critical Sobolev exponent Differential and Integral Equations, 8 (1). pp. 41-68. ISSN 0893-4983
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Abstract
Let Ω ⊂ Rn(n ≥ 7) be a bounded domain with smooth boundary. For λ > 0, let uλ be a solution of -Δu + λu= un+2/n-2 in Ω. u > 0 in Ω, ∂u/∂v = 0 on ∂Ω, whose energy is less than the first critical level. Here we study the blow up points and the L∞ - estimates of uλ as λ → ∞. We show that the blow up points are critical points of the mean curvature on the boundary.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to Khayyam Publishing Company Inc. |
| ID Code: | 93934 |
| Deposited On: | 30 Jun 2012 08:08 |
| Last Modified: | 29 Jul 2012 14:31 |
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