TY  - BOOK
AU  - Hebey,Emmanuel
AU  - Hebey,Emmanuel
TI  - Compactness and Stability for Nonlinear Elliptic Equations
T2  - Zurich Lectures in Advanced Mathematics (ZLAM)
SN  - 9783037196342
PY  - 2014///
CY  - Zuerich, Switzerland
PB  - European Mathematical Society Publishing House
KW  - Differential equations
KW  - bicssc
KW  - Global analysis, analysis on manifolds
KW  - msc
KW  - Partial differential equations
N1  - Restricted to subscribers
N2  - The book offers an expanded version of lectures given at ETH Zürich in the framework of a Nachdiplomvorlesung. Compactness and stability for nonlinear elliptic equations in the inhomogeneous context of closed  Riemannian manifolds are investigated, a field presently undergoing great development. The author describes blow-up phenomena and presents the progress made over the past years on the subject, giving an up-to-date description of the new ideas, concepts, methods, and theories in the field. Special attention is devoted to the nonlinear stationary Schrödinger equation and to its critical formulation.  Intended to be as self-contained as possible, the book is accessible to a broad audience of readers, including graduate students and researchers
UR  - https://doi.org/10.4171/134
UR  - http://www.ems-ph.org/img/books/hebey_mini.gif
ER  -