Hardy Inequalities and Applications: Inequalities with Double Singular Weight
Nikolai Kutev, Tsviatko RangelovThis 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
年:
2022
出版社:
De Gruyter
语言:
english
页:
158
ISBN 10:
3110980371
ISBN 13:
9783110980370
文件:
EPUB, 26.16 MB
IPFS:
,
english, 2022