Miniconference on Geometry and Partial Differential Equations

Preface

This volume contains the proceedings of a miniconfrenece on geometry and partial differential equations held at the Australian National University in August, 1985.

We gratefully acknowledge the support of the contributors to this volume, as well as the superb organisational assistance of our secretary, Marilyn Gray, the excellent typing of Dorothy Nash, Norman Chin and Joyce Heinz and the editing assistance of David Cullen and Marty Ross.

Leon Simon, Neil S, Trudinger
(Editors)

Contents

Chapter Page number
1 - Asymptotic behaviour near isolated singular points for geometric variational problems (pdf 469.25 KB)
David Adams and Leon Simon
1
2 - The gauss map of submersion (pdf 1.11 MB)
Paul Baird
8
3 - Remarks on multiple solutions of nonlinear equations (pdf 743.78 KB)
E. N. Dancer
25
4 - About some ill-posed problems (pdf 1.42 MB)
E. Di Benedetto
32
5 - Partial regularity for solutions of variational problems (pdf 697.89 KB)
N. Fusco and J. E. Hutchinson
57
6 - Degree theory and gaussian measure in infinite dimensions (pdf 661.22 KB)
E. Getzler
68
7 - Minimal surfaces with free boundaries (pdf 1.01 MB)
S. Hildebrandt
78
8 - Minimal surface description of crystal structures (pdf 1.1 MB)
S. T. Hyde and Sten Andersson
89
9 - A piecewise linear theory of minimal surfaces in 3-manifolds (pdf 954.42 KB)
William Jaco and J. H. Rubinstein
99
10 - Boundary regularity for solutions of quasi-linear elliptic equations (pdf 562.38 KB)
Chi-ping Lau
111
11 - Deforming riemannian metrics on the 2-sphere (pdf 351.89 KB)
P. R. A. Leviton and J. H. Rubinstein
123
12 - Boundary behaviour of solutions of elliptic equations in "bad" domains (pdf 638.74 KB)
Gary M. Lieberman
128
13 - The neumann problem for equations of monge-ampere type (pdf 446.6 KB)
P. L. Lions, N. S. Trudinger and J. I. E. Urbas
135
14 - When are singular integral operators bounded? (pdf 488.88 KB)
Alan McIntosh
141
15 - The topology of asymptotically euclidean static perfect fluid space time (pdf 481.85 KB)
A. K. M. Masood-ul-Alam
150
16 - A note on branched stable two-dimensional minimal surfaces (pdf 376.71 KB)
Mario J. Micallef
157
17 - Existence of minimal surfaces of bounded topological type in three-manifolds (pdf 1.62 MB)
Jon T. Pitts and J. H. Rubinstein
163
18 - Some fully non-linear parabolic partial differential equations (pdf 794.47 KB)
S. J. Reye
177
19 - Existence of willmore surfaces (pdf 1.6 MB)
Leon Simon
187
20 - Classification of minimizing hypersurfaces asymptotic to quadratic cones in R^(n+1) (pdf 500.54 KB)
Leon Simon and Bruce Solomon
217
21 - Overdetermined systems defined by complex vector fields (pdf 1.39 MB)
Francois Treves
224
22 - Regularity of the singular sets in immiscible fluid interfaces and solutions to other plateau-type problems (pdf 450.89 KB)
Brian White
244
23 - Best continuity at the boundary for solutions of the minimal surface equation (pdf 464.42 KB)
Graham Williams
250
24 - The regularity of weak solutions to parabolic systems (pdf 684.81 KB)
Yan Ziqian
256