Let Ω be a smooth bounded domain of ℝ N with N ≥ 5. In this paper we prove, for ε > 0 small, the nondegeneracy of the solution of the problem {-Δu = U n+2/n-2 + ε u in Omega; u > 0 in Ω, u = 0 on ∂ Ω,under a nondegeneracy condition on the critical points of the Robin function. Our proof uses different techniques with respect to other known papers on this topic. © Birkhäuser Verlag, Basel, 2005.
A nondegeneracy result for a nonlinear elliptic equation / Grossi, Massimo. - In: NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS. - ISSN 1021-9722. - 12:2(2005), pp. 227-241. [10.1007/s00030-005-0010-y]
A nondegeneracy result for a nonlinear elliptic equation
GROSSI, Massimo
2005
Abstract
Let Ω be a smooth bounded domain of ℝ N with N ≥ 5. In this paper we prove, for ε > 0 small, the nondegeneracy of the solution of the problem {-Δu = U n+2/n-2 + ε u in Omega; u > 0 in Ω, u = 0 on ∂ Ω,under a nondegeneracy condition on the critical points of the Robin function. Our proof uses different techniques with respect to other known papers on this topic. © Birkhäuser Verlag, Basel, 2005.File allegati a questo prodotto
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