2 papers
math-ph2018
Infinite energy solutions to vortex equations governing the fractional quantum Hall effect
Joseph Esposito
In this paper, we utilize weighted Sobolev spaces to establish an existence theory for infinite energy solutions to a coupled non-linear elliptic system. This system describes the…
math-ph2018
An indefinite system of equations governing the fractional quantum Hall effect
Joseph Esposito
In this paper, we establish existence of solutions to an indefinite coupled non-linear system. We use partial coercivity to establish existence of a critical point to an indefinite…