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
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Volume

10

Date

1–3 August 1985

Venue

Australian National University

Copyright

First published in Australia 1986

© Centre for Mathematical Analysis,
The Australian National University
CANBERRA ACT 0200
AUSTRALIA

This book is copyright. Apart from any fair dealing for the purpose of private study, research, criticism or review as permitted under the Copyright Act, no part may be reproduced by any process without permission. Inquiries should be made to the publisher.

Leon Simon and Neil S Trudinger

Miniconference on Geometry and Partial Differential Equations
Canberra, August 1-3, 1985)
 

ISBN 0 86784 511 2