Periodic solutions of Euler-Lagrange equations with sublinear potentials in an Orlicz-Sobolev space setting
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, Issue 2
Abstract
In this paper, we obtain existence results of periodic solutions of hamiltonian systems in the Orlicz-Sobolev space W1LΦ([0,T]). We employ the direct method of calculus of variations and we consider a potential function F satisfying the inequality |∇F(t,x)|≤b1(t)Φ′0(|x|)+b2(t), with b1,b2∈L1 and certain N-functions Φ0.
Authors and Affiliations
Sonia Acinas, Fernando Mazzone
Keywords
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- EP ID EP305573
- DOI 10.17951/a.2017.71.2.1
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