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Ground states for Maxwell’s equations in nonlocal nonlinear media

Rainer Mandel ()
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Rainer Mandel: Karlsruhe Institute of Technology, Institute for Analysis

Partial Differential Equations and Applications, 2022, vol. 3, issue 2, 1-16

Abstract: Abstract In this paper we investigate the existence of ground states and dual ground states for Maxwell’s Equations in $${\mathbb {R}}^3$$ R 3 in nonlocal nonlinear metamaterials. We prove that several nonlocal models admit ground states in contrast to their local analogues.

Keywords: 35J60; 35Q61 (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1007/s42985-022-00159-2

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