AN APPROXIMATION THEOREM FOR SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS

Albo Carlos Cavalheiro · Proceedings of the Edinburgh Mathematical Society · 2002

Abstract 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

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