"St. Petersburg PDE seminar, special session dedicated to N.N. Uraltseva's [75th] anniversary, June 2009"--P. [vi].

Includes bibliographical references.

Regularity below the ^2 threshold for a torsion problem, based on regularity for Hamilton-Jacobi equations;Signorini-type problem in mathbb {R}^N for a class of quadratic functionals;A 2D-variant of a theorem of Uraltseva and Urdaletova for higher-order variational problems;The linear Boltzmann equation with space periodic electric field;Smooth approximations of solutions to nonconvex fully nonlinear elliptic equations;H�older continuity of solutions of 2D Navier-Stokes equations with singular forcing;Currents and curvature varifolds in continuum mechanics;On classic solvability of the Hessian evolution equation;About an example of N. N. Ural'tseva and weak uniqueness for elliptic operators;On the fundamental solution of an elliptic equation in nondivergence form;Boundary regularity for vectorial problems;Attainability of infima in the critical Sobolev trace embedding theorem on manifolds;Non-divergence elliptic equations of second order with unbounded drift;Global solvability of Navier-Stokes equations for a nonhomogeneous non-Newtonian fluid