4 citations · 7 across the 10 of their papers we have counts for
5 papers · 2 filters
Ground states for Maxwell's equations in nonlocal nonlinear media
Rainer Mandel
In this paper we investigate the existence of ground states and dual ground states for Maxwell's Equations in in nonlocal nonlinear metamaterials. We prove that seve…
Dual variational methods for static Nonlinear Maxwell's Equations
Rainer Mandel
We prove the existence of a ground state and infinitely many geometrically distinct solutions for static nonlinear Maxwell's equations on . Our existence result relie…
Nonlinear Helmholtz equations with sign-changing diffusion coefficient
Rainer Mandel, Zoïs Moitier, Barbara Verfürth
In this paper we study nonlinear Helmholtz equations with sign-changing diffusion coefficients on bounded domains. The existence of an orthonormal basis of eigenfunctions is establ…
Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner-Riesz estimates with negative index for non-elliptic surfaces
Rainer Mandel, Robert Schippa
We solve time-harmonic Maxwell's equations in anisotropic, spatially homogeneous media in intersections of -spaces. The material laws are time-independent. The analysis requir…
A uniqueness result for the Sine-Gordon breather
Rainer Mandel
In this note we prove that the sine-Gordon breather is the only quasimonochromatic breather in the context of nonlinear wave equations in .