Babes-Bolyai University of Cluj-Napoca
Faculty of Mathematics and Computer Science
Study Cycle: Graduate

SUBJECT

Code
Subject
MME0010 Special Topics in Differential Equations
Section
Semester
Hours: C+S+L
Category
Type
Mathematics - in Romanian
5
2+1+0
speciality
optional
Mathematics - in Hungarian
6
2+1+0
speciality
optional
Mathematics-Computer Science - in Romanian
5
2+1+0
speciality
optional
Mathematics-Computer Science - in Hungarian
6
2+1+0
speciality
optional
Applied Mathematics
5
2+1+0
speciality
optional
Teaching Staff in Charge
Prof. PRECUP Radu, Ph.D.,  r.precupmath.ubbcluj.ro
Assoc.Prof. BEGE Antal, Ph.D.,  begemath.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.
Links: Syllabus for all subjects
Romanian version for this subject
Rtf format for this subject