Hardy Inequalities and Applications
Inequalities with Double Singular Weight
Nikolai Kutev, Tsviatko Rangelov
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Naturwissenschaften, Medizin, Informatik, Technik / Analysis
Beschreibung
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.
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Schlagwörter
Parabolische Gleichungen, Hardy Inequalities, singular parabolic equations., optimal constant, sharp Hardy Inequalities, general weights, Hardy-Ungleichungen