Quasireverse H�older inequalities in parabolic metric and their applications;Weyl asymptotics of the spectrum of the Maxwell operator with non-smooth coefficients in Lipschitz domains;Semiclassical pseudodifferential operators with discontinuous symbols and their applications to the problems of statistical physics;What is complete integrability in quantum mechanics;Geometric evolution equations preserving convexity;On spectral properties of elliptic problems in domains with cylindrical ends;Weak solutions to the Cauchy problem for the Navier-Stokes equations satisfying the local energy inequality;Schauder estimates for the evolutionary generalized Stokes problem;Homogenization of a periodic parabolic Cauchy problem;Boundary estimates for solutions of elliptic and parabolic equations with discontinuous nonlinearities