[Author]
 Apushkinskaya D. E., Arkhipova A. A., Nazarov A. I., Osmolovskii V. G., Uraltseva N. N.

[Title]
 A survey of results of St. Petersburg State university research school
 on nonlinear partial differential equations

[AMS Subj-class]
 35-02 Research exposition (monographs, survey articles) pertaining to partial
 differential equations

[Keywords]
 quasilinear equations, boundary value problems, variational inequalities,
 calculus of variations 

[Abstract]
 The article contains a review of the most important results obtained in the
 framework of the St. Petersburg State University research school on nonlinear PDEs 
 (the O.A. Ladyzhenskaya--N.N. Uraltseva school). The main attention is paid to
 the works carried out at our university over the past 50 years. The first part of
 the review concerns the solvability and qualitative properties of solutions to
 boundary value problems for the second order scalar quasilinear elliptic and
 parabolic equations, as well as variational problems. The planned second part of
 the review will include sections on fully nonlinear equations and systems of
 equations and on free boundary problems.

[Comments]
 Russian, 35 pp.

[Contact e-mail]
 al.il.nazarov@gmail.com