
Darko Zubrinic
Address:
Darko Zubrinic
Faculty of Electrical Engineering and Computing
Dpt. of Applied Mathematics
Unska 3
10000 Zagreb
Croatia
email: darko.zubrinicYY@YYfer.hr (remove Y's)
Born in Zagreb (1956).
Graduated from the Faculty of Natural Sciences and Mathematics
in Zagreb (Department of
Mathematics) in 1978, with the diploma work "Pontryagin duality
theory for locally compact Abelian groups."
Master thesis: "Optimal control" (1982).
Ph. degree defended in 1986 with the thesis "Nonresonant elliptic
equations and applications to control theory."
Fields of interest: nonlinear functional
analysis, in particular nonlinear elliptic equations,
fine properties of Sobolev functions, fractal analysis, spiral trajectories of
dynamical systems.
Editorial board service:
Graduate courses:
 Faculty of Electrical
Engineering:
Variational methods for differential equations;
 Faculty of Natural Sciences
and Math. (Department of mathematics):
Nonlinear functional analysis,
Sobolev spaces,
 Faculty of Technology:
Mathematics (selected topics).
Spent two months on the International Center for Theoretical
Physics, ICTP, Trieste in 1982, and four months in Praha,
Charles University at prof. J.Necas (1985/6). I will never
forget the hospitality of the people I met in Praha.
Leader of the former Yugoslav secondary school national
team (with dr. Uros Milutinovic), that
participated:
 the International Mathematical Olympiads (IMO) held in Warsaw (1987),
Havana (1988), Canberra (1989), and
 the Balkan Mathematical
Olympiads held in Athens (1988) and Nicosia (1989).
Initiated and participated the organization of the
Balkan Mathematical Competition held in Split in 1989.
Selected papers
Books:
 Uvod u varijacione metode za diferencijalne jednadzzbe,
Zagreb
1991,
 with dr. Uross Milutinovich:
 Matematiccki susreti (prepared by D.Zz), Beli Manastir
1991 (the whole edition has been destroyed
during the Serbian aggression on Croatia), new edition: Zagreb 1995 
published by Element.
 Diskretna matematika, Element, Zagreb, 1997.
 Fundamentals of Applied Functional Analysis
(with Dragissa Mitrovich, Prof. Emeritus of the University of
Zagreb)
Pitman Monograph and Surveys in Pure and Applied
Mathematics 91, Longman, 1998 (400 pages)
ISSN 02693666
ISBN 0 582 24694 6
Orders at Amazon.com
or at CRC
Press.
Contents
The book provides a gentle introduction to
modern concepts of linear and nolinear functional analysis.
It is intended mainly for new graduate students in
mathematics and physics specializing in partial differential
equations and also for engineers who need a deeper
understanding of modern methods of applied functional
analysis. It may serve as a preparation for study of the
abundant scientific literature on the theory of
distributions, Sobolev spaces, elliptic equations and
nonlinear analysis. Its purpose is also to provide an
insight into the fascinating variety of deeply interlaced
mathematical tools applied in the study of nonlinear
problems.
It starts with a review of the basics of Lebesgue spaces and
Nemytzki operators. Special attention is paid to
distributions, Sobolev spaces, and their applications to the
study of elliptic boundary value problems. Some of the
methods of nonlinear analysis are illustrated by resonant
and nonresonant problems, lower semicontinuity and
convexity, energy functionals, monotone operators, reduction
method, Landesman  Lazer problems, jumping nonlinearities,
the MountainPass theorem, and topological degree. The book
contains numerous examples and exercises, most of them with
detailed solutions and hints.
Darko Zubrinic, FER
To help Croatian math teachers and pupils:
Matematika za osnovnu i
srednju sskolu
Author of the booklet "Faculty of Electrical Engineering"
(1992),
which provides basic information about our institution and
about Croatia.
Its second part served as a basis for the preparation of
HTML files
about the Croatian history,
culture and science.
Now Associate professor at the Faculty of Electrical Engineering
and Computing.
Member of the Croatian Mathematical Society.
Hobbies
