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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.
Title: Fernando Po o. Su presente y su porvenir. Recopilacio n de
datos y noticias oficiales ... acerca de las excepcionales
condiciones y grandes ventajas que para su colonizacio n ofrece
esta isla. With maps.]Publisher: British Library, Historical Print
EditionsThe British Library is the national library of the United
Kingdom. It is one of the world's largest research libraries
holding over 150 million items in all known languages and formats:
books, journals, newspapers, sound recordings, patents, maps,
stamps, prints and much more. Its collections include around 14
million books, along with substantial additional collections of
manuscripts and historical items dating back as far as 300 BC.The
HISTORY OF EUROPE collection includes books from the British
Library digitised by Microsoft. This collection includes works
chronicling the development of Western civilisation to the modern
age. Highlights include the development of language, political and
educational systems, philosophy, science, and the arts. The
selection documents periods of civil war, migration, shifts in
power, Muslim expansion into Central Europe, complex feudal
loyalties, the aristocracy of new nations, and European expansion
into the New World. ++++The below data was compiled from various
identification fields in the bibliographic record of this title.
This data is provided as an additional tool in helping to insure
edition identification: ++++ British Library Bremo n, Luciano Mari
a; 1897. 21 p.; 8 . 10164.i.12.
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