Books > Science & Mathematics > Mathematics > Numerical analysis
|
Buy Now
Geometric Analysis of Quasilinear Inequalities on Complete Manifolds - Maximum and Compact Support Principles and Detours on Manifolds (Paperback, 1st ed. 2021)
Loot Price: R1,654
Discovery Miles 16 540
|
|
Geometric Analysis of Quasilinear Inequalities on Complete Manifolds - Maximum and Compact Support Principles and Detours on Manifolds (Paperback, 1st ed. 2021)
Series: Frontiers in Mathematics
Expected to ship within 10 - 15 working days
|
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.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Email address subscribed successfully.
A activation email has been sent to you.
Please click the link in that email to activate your subscription.