arXiv subjects

L. M. Kozhevnikova

Publications and source records attributed to L. M. Kozhevnikova.

2 recordsLinked to original sources

arXiv2019

On solutions of elliptic equations with variable exponents and measure data in $\mathbb{R}^n$

Anisotropic elliptic equations of the second order with variable exponents in nonlinearities and the right-hand side as a diffuse measure are considered in the space $\mathbb{R}^n$. The existence of an entropy solution in anisotropic Sobolev--Orlicz spaces with variable exponents is proved. The obtained entropy solution is shown to be a renormalized solution.

math.AP↗

arXiv2018

On solutions of anisotropic elliptic equations with variable exponent and measure data

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.

math.AP↗