Hardy inequalities and applications inequalities with double singular weight
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 equation...
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| Format: | eBook |
| Language: | English |
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Berlin ; Boston
De Gruyter
2022, ©2022
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| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| Summary: | 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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| Physical Description: | VIII, 150 pages |
| ISBN: | 978-3-11-098049-3 978-3-11-098037-0 |