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Homoclinics for singular strong force Lagrangian systems

Abstract

We study the existence of homoclinic solutions for a class of generalized Lagrangian systems in the plane, with a C1-smooth potential with a single well of infinite depth at a point ξ and a unique strict global maximum 0 at the origin.Under a strong force condition around the singular point ξ, via minimization of an action integral, we will prove the existence of at least two geometrically distinct homoclinic solutions.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
Advances in Nonlinear Analysis no. 9, pages 644 - 653,
ISSN: 2191-9496
Language:
English
Publication year:
2020
Bibliographic description:
Izydorek M., Janczewska J., Mawhin J.: Homoclinics for singular strong force Lagrangian systems// Advances in Nonlinear Analysis -Vol. 9,iss. 1 (2020), s.644-653
DOI:
Digital Object Identifier (open in new tab) 10.1515/anona-2020-0018
Sources of funding:
Verified by:
Gdańsk University of Technology

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