Téléchargez le livre : Geometric Analysis of Quasilinear Inequalities on Complete Manifolds

Geometric Analysis of Quasilinear Inequalities on Complete Manifolds

Maximum and Compact Support Principles and Detours on Manifolds de

, , ,

Éditeur :

Birkhäuser


Collection :

Frontiers in Mathematics

Paru le : 2021-01-18

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Description
This book demonstrates the influence of geometry on the qualitative behaviour of solutions of quasilinear PDEs on Riemannian manifolds. Motivated by examples arising, among others, from the theory of submanifolds, the authors study classes of coercive elliptic differential inequalities on domains of a manifold M with very general nonlinearities depending on the variable x, on the solution u and on its gradient. The book highlights the mean curvature operator and its variants, and investigates the validity of strong maximum principles, compact support principles and Liouville type theorems. In particular, it identifies sharp thresholds involving curvatures or volume growth of geodesic balls in M to guarantee the above properties under appropriate Keller-Osserman type conditions, which are investigated in detail throughout the book, and discusses the geometric reasons behind the existence of such thresholds. Further, the book also provides a unified review of recent results in the literature, and creates a bridge with geometry by studying the validity of weak and strong maximum principles at infinity, in the spirit of Omori-Yau’s Hessian and Laplacian principles and subsequent improvements.
Pages
286 pages
Collection
Frontiers in Mathematics
Parution
2021-01-18
Marque
Birkhäuser
EAN papier
9783030627034
EAN PDF
9783030627041
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
28
Taille du fichier
3809 Ko
Prix
58,01 €
EAN EPUB
9783030627041
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
28
Taille du fichier
16036 Ko
Prix
58,01 €

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