Hardy inequalities with boundary terms
Southwest Texas State University, Department of Mathematics
In this note, we present some Hardy type inequalities for functions which do not vanish on the boundary of a given domain. We establish these inequalities for both bounded and unbounded domains and also obtain the best embedding constants in these inequalities for special domains. Our results are motivated by and building upon some recent work in [5, 6, 9, 12].
Hardy inequality with boundary terms, Weighted versions of Hardy inequality
Wang, Z. Q., & Zhu, M. (2003). Hardy inequalities with boundary terms. <i>Electronic Journal of Differential Equations, 2003</i>(43), pp. 1-8.