Prof. Wing-Sum Cheung
The University of Hong Kong, Hong Kong (China)
Title: Application of Integral Inequalities to Variational Problems
Abstract:
The classical method of solving variational problems resorts to handling the associated EulerLagrange
Equations, which are in general a system of higher order nonlinear differential equations
and are very difficult, if not impossible, to tackle. For certain types of variational problems, suitably
devised integral inequalities could easily lead to optimal solutions effectively without having to
consider the Euler-Lagrange Equations. A few examples of this approach will be given.
Biography:
Wing-Sum Cheung is a full Professor of the Department of Mathematics of the University of Hong
Kong. He holds a B.Sc. (with 1st class honors) from the Chinese University of Hong Kong, a M.A. and
a Ph.D. from Harvard University, USA. He had been the Head of Department of Mathematics and
Associate Dean (Development and External Relations) of the Faculty of Science of the University of
Hong Kong, Vice-President of the Hong Kong Mathematical Society, Council Member of the
Southeast Asian Mathematical Society, Council Member of the Hong Kong Institute of Science,
Leader of the Hong Kong International Olympiad Team, and an Honorary Consultant of the Ministry
of Education, Youth and Sports of the Government of Cambodia. He has published over 170 journal
articles and book chapters, in which over 110 are published in ISI journals. He is on the editorial
board of a number of international mathematical journals including Asian European Journal of
Mathematics, Australian Journal of Mathematical Analysis and Applications, Bulletin of the
Southeast Asian Mathematical Society, Far East Journal of Mathematical Sciences, Journal of
Inequalities and Applications, etc. His current research interests include Differential Geometry,
Exterior Differential Systems, Calculus of Variations, Analytic Inequalities, and Differential Equations.