Composition operators on Sobolev spaces and eigenvalues of divergent elliptic operators

Vladimir Gol'dshtein, Valeryi Pchelintsev, Alexander Ukhlov

Research output: Working paper/PreprintPreprint

Abstract

We study spectral properties of the divergence form elliptic operators −div[A(z)∇f(z)] with the Neumann boundary condition in (non)convex domains Ω⊂C. The suggested method is based on the composition operators on Sobolev spaces with applications to the Poincaré inequalities.
Original languageEnglish
PublisherarXiv:1903.11301 [math.AP]
StatePublished - 2019

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