"Babes-Bolyai" University of Cluj-Napoca
Faculty of Mathematics and Computer Science

Selected topics of partial differential equations
Code
Semes-
ter
Hours: C+S+L
Credits
Type
Section
ME006
8
2+2+0
7.5
optional
Matematică
ME006
8
2+2+0
7.5
optional
Matematică-Informatică
Teaching Staff in Charge
Prof. PRECUP Radu, Ph.D., r.precup@math.ubbcluj.ro
Assoc.Prof. BEGE Antal, Ph.D., bege@math.ubbcluj.ro
Aims
To asimilate the main methods in the theory of partial
differential equations. Semilinear elliptic problems.
Content
Degree theory. Fixed point principles. Mappings of monotone type.
Surjectivity results. Generalized solutions. Semilinear elliptic
problems.
References
1. Adams, R.A., Sobolev spaces. Academic Press, 1975.
2. Deimling, K., Nonlinear functional analysis. Springer, Berlin-Heidelberg-New-York-Tokyo, 1985.
3. Gilbarg, D., Trudinger, N.S., Elliptic partial differential equations of second order. Springer, Berlin, 1983.
4. Precup, R., Ecuatii cu derivate partiale, Transilvania Press,
Cluj, 1997.
Assessment
Exam.