Hebey, Emmanuel,
Compactness and Stability for Nonlinear Elliptic Equations [electronic resource] / Emmanuel Hebey - Zuerich, Switzerland : European Mathematical Society Publishing House, 2014 - 1 online resource (301 pages) - Zurich Lectures in Advanced Mathematics (ZLAM) .
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
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.
9783037196342
10.4171/134 doi
Differential equations
Global analysis, analysis on manifolds
Partial differential equations
Compactness and Stability for Nonlinear Elliptic Equations [electronic resource] / Emmanuel Hebey - Zuerich, Switzerland : European Mathematical Society Publishing House, 2014 - 1 online resource (301 pages) - Zurich Lectures in Advanced Mathematics (ZLAM) .
Restricted to subscribers: http://www.ems-ph.org/ebooks.php
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.
9783037196342
10.4171/134 doi
Differential equations
Global analysis, analysis on manifolds
Partial differential equations