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A general theorem for the construction of blowing-up solutions to some elliptic nonlinear equations with Lyapunov-Schmidt's finite-dimensional reduction

Abstract : We prove a general finite-dimensional reduction theorem for critical equations of scalar curvature type. Solutions of these equations are constructed as a sum of peaks. The use of this theorem reduces the proof of existence of multi-peak solutions to some test-functions estimates and to the analysis of the interactions of peaks
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https://hal.archives-ouvertes.fr/hal-00936337
Contributor : Jérôme Vétois <>
Submitted on : Friday, January 24, 2014 - 10:46:30 PM
Last modification on : Wednesday, May 26, 2021 - 3:39:37 AM

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Frédéric Robert, Jérôme Vétois. A general theorem for the construction of blowing-up solutions to some elliptic nonlinear equations with Lyapunov-Schmidt's finite-dimensional reduction. Concentration Analysis and Applications to PDE (ICTS Workshop, Bangalore, January2012), Birkhäuser, pp.85-116, 2013, Trends in Mathematics, ⟨10.1007/978-3-0348-0373-1_6⟩. ⟨hal-00936337⟩

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