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EXISTENCE OF SOLUTIONS FOR QUASILINEAR ELLIPTIC EQUATIONS WITH SINGULAR CONDITIONS

Chung Nhan Phu 1
Tran Tan Quoc 1
Volume & Issue: Vol. 9 No. 9 (2006) | Page No.: 27-36 | DOI: 10.32508/stdj.v9i9.3061
Published: 2006-09-30

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Copyright The Author(s) 2023. This article is published with open access by Vietnam National University, Ho Chi Minh city, Vietnam. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0) which permits any use, distribution, and reproduction in any medium, provided the original author(s) and the source are credited. 

Abstract

In this paper, we study the existence of generalized solution for a class of singular elliptic equation: -diva (x, u(x), u(x))+f(x, u(x), u(x))= 0. Using the Galerkin approximation in [2, 10) and test functions introduced by Drabek, Kufner, Nicolosi in [5], we extend some results about elliptic equations in [2, 3, 4, 6, 10).

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