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Hardy Inequalities and Applications: Inequalities with Double Singular Weight

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This book derives new Hardy inequalities with double singular weights - at an interior point and on the boundary of the domain. We focus on the optimality of Hardy constant and on its attainability. Applications include: results about existence\nonexistence and controllability for parabolic equations with double singular potentials; estimates from below of the fi rst eigenvalue of p-Laplacian with Dirichlet boundary conditions.

Author(s): Nikolai Kutev, Tsviatko Rangelov
Publisher: De Gruyter
Year: 2022

Language: English
Pages: 158
City: Berlin

Preface
Contents
1 Introduction
2 Preliminary remarks on Hardy inequalities
3 Hardy inequalities in abstract form
4 Hardy inequalities in spherical areas
5 General Hardy inequalities with optimal constant
6 Hardy inequalities with weights singular at an interior point
7 Hardy inequalities in star-shaped domains with double singular weights
8 Estimates from below for the first eigenvalue of the p-Laplacian
9 Application of Hardy inequalities for some parabolic equations
Bibliography
Index