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