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

Chang, Sun-Yung Alice

 
9783037190067: Non-Linear Elliptic Equations in Conformal Geometry (Zurich Lectures in Advanced Mathematics)

Inhaltsangabe

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.

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Reseña del editor

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.

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