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arXiv · 1811.08168

Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities

Rainer Mandel
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Abstract

We obtain uncountably many solutions of nonlinear Helmholtz and curl-curl equations on the entire space using a fixed point approach. As an auxiliary tool a Limiting Absorption Principle for the curl-curl operator is proved.

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Rainer Mandel. 2018-11-20. Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities. https://arxiv.org/abs/1811.08168

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