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Hardy-type inequalities related to degenerate elliptic differential operators

Hardy-type inequalities related to degenerate elliptic differential operators

We prove some Hardy-type inequalities related to quasilinear secondorder degenerate elliptic differential operatorsholds.We find an explicit value of the constant involved, which, in most cases, results optimal.As particular case we derive Hardy inequalities for subelliptic operators on Carnot Groups.Mathematics Subject Classification (2000): 35H10 (primary); 22E30, 26D10, 46E35 (secondary).Our principal result …