18 citations · 20 across the 6 of their papers we have counts for
6 papers
Bifurcations and invariant sets for a family of replicator maps from evolutionary games
Sergey Kryzhevich, Yiwei Zhang, Magdalena Chmara
We study the dynamics of a family of replicator maps, depending on two parameters. Such studies are motivated by the analysis of the dynamics of evolutionary games under selections…
Generalized version of the Lions-type lemma
Magdalena Chmara
In this short paper, I recall the history of dealing with the lack of compactness of a sequence in the case of an unbounded domain and prove the vanishing Lions-type result for a s…
Existence of two periodic solutions to general anisotropic Euler-Lagrange equations
M. Chmara
This paper is concerned with the following Euler-Lagrange system \[ \frac{d}{dt}\mathcal{L}_v(t,u(t),\dot u(t))=\mathcal{L}_x(t,u(t),\dot u(t))\quad \text{ for a.e. }t\in[-T,T],\qu…
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…
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…