Chang S.-Y.A. Non-linear elliptic equations in conformal geometry. - Zьrich: European Mathematical Society, 2004. - viii, 92 p. - (Zyrich lectures in advanced mathematics). - ISBN 3-03719-006-X  Место хранения:   013 | Институт математики СО РАН | Новосибирск | Библиотека

Contents

Preface ....................................................... vii 1. Gaussian curvature equation .................................. 1 2. Moser-Trudinger inequality (on the sphere) ................... 9 3. Polyakov formula on compact surfaces ........................ 17 4. Conformal covariant operators - Paneitz operator .................................................... 25 5. Functional determinant on 4-manifolds ....................... 30 6. Extremal metrics for the log-determinant functional .................................................. 38 7. Elementary symmetric functions .............................. 50 8. A priori estimates for the regularized equation (*)δ ............................................... 56 9. Smoothing via the Yamabe flow ............................... 74 10.Deforming δ σ2 to a constant function ....................... 79