This article is cited in 17 papers

Integrability of Solutions of Nonlinear Elliptic Equations with Right-Hand Sides from Classes Close to $L^1$

A. A. Kovalevsky

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

Abstract: We establish a number of results on the integrability of the entropy and the weak solutions of the Dirichlet problem for nonlinear elliptic equations of second order depending on the integrability properties of the right-hand sides of these equations.

UDC: 517.9

Received: 26.09.2000

DOI: 10.4213/mzm750

 English version: Mathematical Notes, 2001, 70:3, 337–346

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