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Mountain pass type periodic solutions for Euler–Lagrange equations in anisotropic Orlicz–Sobolev space
Abstract
Using the Mountain Pass Theorem, we establish the existence of periodic solution for Euler–Lagrange equation. Lagrangian consists of kinetic part (an anisotropic G-function), potential part and a forcing term. We consider two situations: G satisfying at infinity and globally. We give conditions on the growth of the potential near zero for both situations.
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- Category:
- Articles
- Type:
- artykuł w czasopiśmie wyróżnionym w JCR
- Published in:
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JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
no. 470,
edition 1,
pages 584 - 598,
ISSN: 0022-247X - Language:
- English
- Publication year:
- 2019
- Bibliographic description:
- Chmara M., Maksymiuk J.: Mountain pass type periodic solutions for Euler–Lagrange equations in anisotropic Orlicz–Sobolev space// JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. -Vol. 470, iss. 1 (2019), s.584-598
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.jmaa.2018.10.022
- Verified by:
- Gdańsk University of Technology
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