Ground states for Maxwell’s equations in nonlocal nonlinear media
Ground states for Maxwell’s equations in nonlocal nonlinear media
Abstract In this paper we investigate the existence of ground states and dual ground states for Maxwell’s Equations in $${\mathbb {R}}^3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msup> <mml:mrow> <mml:mi>R</mml:mi> </mml:mrow> <mml:mn>3</mml:mn> </mml:msup> </mml:math> in nonlocal nonlinear metamaterials. We prove that several nonlocal models admit ground states in contrast to their local analogues.