On Neumann and Poincare problems in mathematical physics
Complex Variables
2016-09-03 v1
Abstract
It is proved the existence of nonclassical solutions of 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 measureable with respect to logarithmic capacity. Moreover, it is shown that the spaces of such solutions have the infinite dimension.
Cite
@article{arxiv.1608.08457,
title = {On Neumann and Poincare problems in mathematical physics},
author = {A. S. Yefimushkin},
journal= {arXiv preprint arXiv:1608.08457},
year = {2016}
}
Comments
14 pages. arXiv admin note: text overlap with arXiv:1511.02798; text overlap with arXiv:1510.00733 by other authors