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AN APPROXIMATION THEOREM FOR SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS

Published online by Cambridge University Press:  17 June 2002

Albo Carlos Cavalheiro
Albo Carlos Cavalheiro
Affiliation:
Universidade de São Paulo, Departamento de Matemática, Caixa Postal 66281, 05315-970 São Paulo—SP, Brazil ([email protected])
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Abstract

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The main result establishes that a weak solution of degenerate elliptic equations can be approximated by a sequence of solutions of non-degenerate elliptic equations. To this end we prove an approximation theorem for $A_p$-weights.

AMS 2000 Mathematics subject classification: Primary 35J50. Secondary 35D05

Keywords

degenerate elliptic equationsweighted Sobolev spaces$A_p$-weights
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 45 , Issue 2 , June 2002 , pp. 363 - 389
Copyright
Copyright © Edinburgh Mathematical Society 2002