Kutev N., Rangelov T. Hardy Inequalities and Applications: Inequalities with Double Singular Weight

Berlin: de Gruyter, 2022. — 158 p.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.Preliminary remarks on Hardy inequalities
Hardy inequalities in abstract form
Hardy inequalities in spherical areas
General Hardy inequalities with optimal constant
Hardy inequalities with weights singular at an interior point
Hardy inequalities in star-shaped domains with double singular weights
Estimates from below for the first eigenvalue of the p-Laplacian
Application of Hardy inequalities for some parabolic equations