Miniconference on Geometry and Partial Differential Equations
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Price: AUD $22.00
Volume: 10
Venue: Australian National University

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)

Content

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

Copyright statement

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