This issue is devoted to the memory of Professor A.P.Oskolkov. Newtonian and non-Newtonian fluids, linear and quasilinear elliptic and parabolic equations and systems, free boundary theory problems, variational problems of the elasticity theory, pseudodifferential problems on closed manifolds and other problems are studied.

**Ladyzhenskaya O. A.**To the memory of A. P. Oskolkov ....... 5 (.ps.gz)**Andreev F. V.**On some special solutions of the fifth Painlev\'e equation ....... 10 (.ps.gz)**Andreev F. V., Kitaev A. V.**On connection formulas for asymptotics of some special solutions of the fifth Painlev\'e equation ....... 19 (.ps.gz)**Bizhanova G. I.**On the classical solvability of one-dimensional free boundary Florin, Muskat--Verigin and Stefan problems ....... 30 (.ps.gz)**Denisova I. V.**Problem on the motion of two compressible fluids separated by a closed free interface ....... 61 (.ps.gz)**Ivanov A. V.**The regularity theory for $(m,l)$-Laplacian parabolic equation ....... 87 (.ps.gz)**Karazeeva N. A.**Global solvability of the initial boundary value problem with periodic boundary conditions describing 2D Maxwell flow ....... 111 (.ps.gz)**Coscia V., Galdi G. P.**Existence of regular steady motions for a second-grade fluid with non-homogeneous boundary conditions....... 118 (.ps.gz)**Kostin I. N.**Relatively unstable invariant sets of nonlinear operators ....... 131 (.ps.gz)**Ladyzhenskaya O. A.**On a global unique solvability of some two-dimensional problems for the water solutions of polymers ....... 138 (.ps.gz)**Moghilevskii I. Sh., Solonnikov V. A.**Investigation of a problem governing a steady flow of the second grade fluid in the H\"older classes of functions ....... 154 (.ps.gz)**Osmolovski V. G.**Free boundary surface bifurcation in the phase transition problem of elasticity ....... 169 (.ps.gz)**Repin S. I.**A posteriori error estimation for nonlinear variational problems by duality theory ....... 201 (.ps.gz)**Saks R. S.**On properties of the generalized elliptic pseudo-differential operators on closed manifolds ....... 215 (.ps.gz)**Seregin G. A., Shilkin T. N.**Regularity for minimaizers of some variational problems in plasticity theory ....... 270 (.ps.gz)**Solonnikov V. A., Frolova E.**$L_p$-theory of the Stefan problem ....... 299 (.ps.gz)**Haga J., Kikuchi N.**On the existence of the harmonic variational flow subject to the two-sided conditions ....... 324 (.ps.gz)**Reviews**....... 338 (.ps.gz)**Paging: 345 pp.**-
**Language: Russian**

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