The solvability of Dirichlet problem for a class of degenerate elliptic equations with L 1-data: Applicable Analysis: Vol 85, No 8

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Abstract

In this article, we prove the existence and uniqueness of entropy solutions for the Dirichlet problem

where L is a degenerate elliptic operator and f∊L¹(Ω).

Keywords:

Degenerate elliptic equations
Entropy solutions
Weighted Sobolev spaces

Keywords:

AMS 2000 Mathematics Subject Classifications:
35A05
35J70

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The solvability of Dirichlet problem for a class of degenerate elliptic equations with L¹-data

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The solvability of Dirichlet problem for a class of degenerate elliptic equations with L¹-data