AN APPROXIMATION THEOREM FOR SOLUTIONS OF DEGENERATE ELLIPTIC EQUATIONS

Proceedings of the Edinburgh Mathematical Society

Albo Carlos Cavalheiro¹ 

关键词: degenerate elliptic equations;    weighted Sobolev spaces;    $A_p$-weights;   

DOI  :  10.1017/S0013091500000079

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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

【 授权许可】

Unknown