Multiplicity of homoclinic solutions for singular second-order conservative systems-Reference-Cited by-同舟云学术

Multiplicity of homoclinic solutions for singular second-order conservative systems

Published:1996 Issue:6 Volume:126 Page:1169-1180
ISSN:0308-2105
Container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics
language:en
Short-container-title:Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Author:

Bertotti Maria Letizia,Jeanjean Louis

Abstract

We consider a class of second-order systems, withq(t) ∊ℝn, for which the potential energyV: ℝn\S→ℝ admits a (possibly unbounded) singular setS⊂ℝnand has a unique absolute maximum at 0 ∈ℝn. Under some conditions on S andV, we prove the existence of several solutions homoclinic to 0.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference16 articles.

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