The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations
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periodicdifferentialequationshelmholtzlimitingnonlinearoperatorsprinciple
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We prove an $L^p$-version of the limiting absoprtion principle for a class of periodic elliptic differential operators of second order. The result is applied to the construction of nontrivial solutions of nonlinear Helmholtz equations with periodic coefficient functions.
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