18 citations · 20 across the 4 of their papers we have counts for
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math.CA2018
Clarke duality for Hamiltonian systems with nonstandard growth
Sonia Acinas, Jakub Maksymiuk, Fernando Mazzone
We consider the existence of periodic solutions to Hamiltonian Systems with growth conditions involving G-function. We introduce the notion of symplectic G-function and provide rel…
math.CA2018
On a generalization of a theorem of S. Bernstein
J. Ciesielski, J. Maksymiuk, M. Starostka
In this paper we obtain a solution to the second order boundary value problem of the form wit…
math.AP2018
Mountain pass type periodic solutions for Euler-Lagrange equations in anisotropic Orlicz-Sobolev space
Magdalena Chmara, Jakub Maksymiuk
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), poten…