Selected topics of partial differential equations |
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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. |