Non-Linear Elliptic Equations in Conformal Geometry (Zurich Lectures in Advanced Mathematics) - Softcover

Chang, Sun-Yung Alice

Softcover

ISBN 10: 303719006X ISBN 13: 9783037190067

Publisher: European Mathematical Society, 2004

Synopsis

In these lectures, starting from the background material, the author reviews the problem of prescribing Gaussian curvature on compact surfaces. She then develops the analytic tools (e.g. higher order conformal invariant operators, Sobolev inequalities, blow-up analysis) in order to solve a fully nonlinear equation in prescribing the Chern-Gauss-Bonnet integrand on compact manifolds of dimension four.

About this title

Synopsis

In these lectures, starting from the background material, the author reviews the problem of prescribing Gaussian curvature on compact surfaces. She then develops the analytic tools in order to solve a fully non-linear equation in prescribing the Chern-Gauss-Bonnet integrand on compact manifolds of dimension four.

Edition details

• Publisher: European Mathematical Society
• Publication date: 2004
• ISBN 10: 303719006X
• ISBN 13: 9783037190067
• Binding: Paperback
• Language: English
• Number of pages: 100