most citedMountain pass solutions to Euler-Lagrange equations with general anisotropic operator

2 citations · 2 across the 2 of their papers we have counts for

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3 papers

math.CA2019

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…

math.CA2019★ 2 cited

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…

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…