18 citations · 20 across the 4 of their papers we have counts for
5 papers
Mountain pass solutions to Euler-Lagrange equations with general anisotropic operator
M. Chmara, J. Maksymiuk
Using the Mountain Pass Theorem we show that the problem \begin{equation*} \begin{cases} \frac{d}{dt}\mathcal{L}_v(t,u(t),\dot u(t))=\mathcal{L}_x(t,u(t),\dot u(t))\quad \text{ for…
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…
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…
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…
Anisotropic Orlicz-Sobolev spaces of vector valued functions and Lagrange equations
M. Chmara, J. Maksymiuk
In this paper we study some properties of anisotropic Orlicz and anisotropic Orlicz-Sobolev spaces of vector valued functions for a special class of G-functions. We introduce a var…