On solutions of anisotropic elliptic equations with variable exponent and measure data
Analysis of PDEs
2018-08-30 v1
Abstract
The Dirichlet problem in arbitrary domains for a wide class of anisotropic elliptic equations of the second order with variable exponent nonlinearities and the right-hand side as a measure is considered. The existence of an entropy solution in anisotropic Sobolev spaces with variable exponents is established.It is proved that the obtained entropy solution is a renormalized solution of the considered problem.
Keywords
Cite
@article{arxiv.1808.09624,
title = {On solutions of anisotropic elliptic equations with variable exponent and measure data},
author = {L. M. Kozhevnikova},
journal= {arXiv preprint arXiv:1808.09624},
year = {2018}
}
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35 pages