Uncountably many solutions for nonlinear Helmholtz and curl-curl equations with general nonlinearities
classification
🧮 math.AP
keywords
curl-curlequationshelmholtzmanynonlinearsolutionsuncountablyabsorption
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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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