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Compactness and Stability for Nonlinear Elliptic Equations
Zurich Lectures in Advanced Mathematics

Emmanuel Hebey (Université de Cergy-Pontoise, France)

Compactness and Stability for Nonlinear Elliptic Equations

ISBN print 978-3-03719-134-7, ISBN online 978-3-03719-634-2
DOI 10.4171/134
July 2014, 301 pages, softcover, 17 x 24 cm.
42.00 Euro

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.

Keywords: Blow-up theory, compactness, critical nonlinear elliptic equations, stability

Further Information

Mathematical Reviews MR3235821

Zentralblatt Mathematik