On Neumann and Poincare Problems in A-harmonic Analysis

Artyem Yefimushkin · Advances in Analysis · 2016

The existence of nonclassical solutions is proved for the Neumann and Poincare problems for generalizations of the Laplace equation in anisotropic and nonhomogeneous media in almost smooth domains with arbitrary boundary data that are measurable with respect to logarithmic capacity.Moreover, it is shown that the spaces of such solutions have the infinite dimension.

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