This article is cited in 9 papers

Integrability of Solutions of Nonlinear Elliptic Equations with Right-Hand Sides from Logarithmic Classes

A. A. Kovalevsky

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences

Abstract: We establish the existence of a weak solution to the Dirichlet problem belonging to a Sobolev space for nonlinear elliptic equations of second order with right-hand sides from a wide class of functions defined in terms of the logarithmic function.

UDC: 517.9

Received: 22.06.2001
Revised: 08.04.2002

DOI: 10.4213/mzm300

 English version: Mathematical Notes, 2003, 74:5, 637–646

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