Contents
Research Article
Non-degeneracy of least-energy solutions for an elliptic problem with nearly critical nonlinearity
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- Published online by Cambridge University Press:
- 04 February 2010, pp. 203-222
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We consider the problem −Δu = c0K(x)upε, u > 0 in Ω, u = 0 on δΩ, where Ω is a smooth, bounded domain in ℝN, N ≥ 3, c0 = N(N − 2), pε = (N + 2)/(N − 2) − ε and K is a smooth, positive function on
. We prove that least-energy solutions of the above problem are non-degenerate for small ε > 0 under some assumptions on the coefficient function K. This is a generalization of the recent result by Grossi for K ≡ 1, and needs precise estimates and a new argument.
. We prove that least-energy solutions of the above problem are non-degenerate for small ε > 0 under some assumptions on the coefficient function Existence of a positive solution for a singular system
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- Published online by Cambridge University Press:
- 30 March 2010, pp. 435-447
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Corrigendum
Duality and compactness results in high-contrast homogenization of incompressible two-dimensional elasticity problems
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- Published online by Cambridge University Press:
- 04 February 2010, p. 223
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