Weighted Hardy type inequalities with Robin boundary conditions
Copyright policy )Weighted Hardy type inequalities with Robin boundary conditions
In this paper, we establish a general weighted Hardy type inequality for the $% p-$Laplace operator with Robin boundary condition. We provide various concrete examples to illustrate our results for different weights. Furthermore, we present some Heisenberg-Pauli-Weyl type inequalities with boundary terms on balls with radius $R$ at the origin in $\mathbb{R}^n$.
13 pages, typos corrected, more corollaries and references have been added
- Istanbul Commerce University Turkey
Hypoelliptic equations, Inequalities involving derivatives and differential and integral operators, Heisenberg-Pauli-Weyl-type inequality, Robin boundary condition, Functional Analysis (math.FA), boundary term, general weight, Mathematics - Functional Analysis, Second-order elliptic equations, Mathematics - Analysis of PDEs, Hardy inequality, FOS: Mathematics, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, 26D10, Analysis of PDEs (math.AP)
Hypoelliptic equations, Inequalities involving derivatives and differential and integral operators, Heisenberg-Pauli-Weyl-type inequality, Robin boundary condition, Functional Analysis (math.FA), boundary term, general weight, Mathematics - Functional Analysis, Second-order elliptic equations, Mathematics - Analysis of PDEs, Hardy inequality, FOS: Mathematics, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, 26D10, Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!