A general approach to weighted $L^{p}$ Rellich type inequalities related to Greiner operator

Ismail Kombe, Abdullah Yener
2019 Communications on Pure and Applied Analysis  
In this paper we exhibit some sufficient conditions that imply general weighted L p Rellich type inequality related to Greiner operator without assuming a priori symmetric hypotheses on the weights. More precisely, we prove that given two nonnegative functions a and b, if there exists a positive supersolution ϑ of the Greiner operator ∆ k such that 2000 Mathematics Subject Classification. Primary: 26D10, 22E30; Secondary: 43A80.
doi:10.3934/cpaa.2019042 fatcat:67aatj3tejafvkzq4yyahshofa