Analysis, Partial Differential Equations and Applications

On the Occasion of the 70th Birthday of Vladimir Maz'ya.- Boundary Trace for BV Functions in Regions with Irregular Boundary.- Dirac Equation as a Special Case of Cosserat Elasticity.- Hölder and Lipschitz Estimates for Viscosity Solutions of Some Degenerate Elliptic PDEs.- Criteria for the Lp-dissipativity of Partial Differential Operators.- Sharp Estimates for Nonlinear Potentials and Applications.- Solvability Conditions for a Discrete Model of Schrödinger's Equation.- An Algebra of Shift-invariant Singular Integral Operators with Slowly Oscillating Data and Its Application to Operators with a Carleman Shift.- Frozen History: Reconstructing the Climate of the Past.- Multidimensional Harmonic Functions Analogues of Sharp Real-part Theorems in Complex Function Theory.- Cubature of Integral Operators by Approximate Quasi-interpolation.- Pointwise Estimates for the Polyharmonic Green Function in General Domains.- On Elliptic Operators in Nondivergence and in Double Divergence Form.- On the Well-posedness of the Dirichlet Problem in Certain Classes of Nontangentially Accessible Domains.- On Negative Spectrum of Schrödinger Type Operators.- ACL-homeomorphisms in the Plane.- Crack Problems for Composite Structures.- On Positive Solutions of p-Laplacian-type Equations.- Mixed Boundary Value Problems for Stokes and Navier-Stokes in Polyhedral Domains.- On Some Classical Operators of Variable Order in Variable Exponent Spaces.- Irregular Conductive Layers.- On the Double Layer Potential.