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230306 ||| eng |
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|a 978-3-11-098049-3
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| 020 |
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|a 978-3-11-098037-0
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| 100 |
1 |
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|a Kutev, Nikolai
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| 245 |
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|a Hardy inequalities and applications
|h Elektronische Ressource
|b inequalities with double singular weight
|c Nikolai Kutev, Tsviatko Rangelov
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| 260 |
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|a Berlin ; Boston
|b De Gruyter
|c 2022, ©2022
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| 300 |
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|a VIII, 150 pages
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| 505 |
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|a Frontmatter, 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
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| 653 |
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|a Hardy-Ungleichungen
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| 653 |
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|a Optimale Konstante
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| 653 |
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|a Inequalities (Mathematics)
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| 653 |
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|a Probabilities & applied mathematics
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| 700 |
1 |
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|a Rangelov, Tsviatko
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| 041 |
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7 |
|a eng
|2 ISO 639-2
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| 989 |
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|b GRUYMPG
|a DeGruyter MPG Collection
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| 028 |
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|a 10.1515/9783110980370
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| 776 |
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|z 978-3-11-099230-4
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| 856 |
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|u https://www.degruyter.com/document/doi/10.1515/9783110980370
|x Verlag
|3 Volltext
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| 082 |
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|a 515.26
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| 520 |
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|a 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. Includes methodology for obtaining new Hardy inequalities Applications for estimates from below of the 1-st eigenvalue of p-Laplacian are derived Examples of the sharpness of Hardy inequality and the optimality of Hardy constant
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