Modern Problems in Applied Analysis

Preface.- Boundary value problems for the singular $p$- and $p(x)$- Laplacian equations in a cone.- Exact and "exact" formulae in the theory of composites.- On a hypercomplex version of the Kelvin solution in linear elasticity.- Viscoelastic behavior of periodontal ligament: stresses relaxation at translational displacement of a tooth root.- Dirichlet type problems in polydomains.- A microscopic model of redistribution of Individuals inside an 'elevator'.- New approach to mathematical model of elastic in two-dimensional composites.- Statistical characteristics of the distraction parameters in the unbounded anisotropic plane weakened by multiple random cracks.- Perturbative Expansions and Critical Phenomena in Random Structured Media.- Mixed problem for Laplace'sequation in anarbitrary circular multiply connected domain.- A boundary integral method for the general conjugation problem in multiply connected circle domains.- Pseudo-differential operators on manifolds with a singular boundary.- Gravity driven flow past Brinkman's porous bottom: interfacial boundary value problem.- Positive solutions for a nonlocal resonant problem of first order.