Modern Problems in Applied Analysis

1. Boundary Value Problems for the Singular p- and p(x)-Laplacian Equations in a Cone
Yury Alkhutov, Mikhail Borsuk, Sebastian Jankowski

2. Exact and “Exact” Formulae in the Theory of Composites
Igor Andrianov, Vladimir Mityushev

3. On a Hypercomplex Version of the Kelvin Solution in Linear Elasticity
Sebastian Bock

4. Viscoelastic Behavior of Periodontal Ligament: Stresses Relaxation at Translational Displacement of a Tooth Root
S. Bosiakov, G. Mikhasev, S. Rogosin

5. Dirichlet Type Problems in Polydomains
A. Okay Çelebi

6. A Microscopic Model of Redistribution of Individuals Inside an ‘Elevator’
Marina Dolfin, Mirosław Lachowicz, Andreas Schadschneider

7. New Approach to Mathematical Model of Elastic in Two-Dimensional Composites
Piotr Drygaś

8. Statistical Characteristics of the Distraction Parameters in the Unbounded Anisotropic Plane Weakened by Multiple Random Cracks
L. A. Filshtinskii, D. M. Nosov, Yu. V. Shramko

9. Perturbative Expansions and Critical Phenomena in Random Structured Media
Simon Gluzman, Dmitry A. Karpeyev

10. Mixed Problem for Laplace’s Equation in an Arbitrary Circular Multiply Connected Domain
Vladimir Mityushev

11. A Boundary Integral Method for the General Conjugation Problem in Multiply Connected Circle Domains
Mohamed M. S. Nasser

12. Pseudo-Differential Operators on Manifolds with a Singular Boundary
Vladimir B. Vasilyev

13. Gravity Driven Flow Past the Bottom with Small Waviness
R. Wojnar, W. Bielski

14. Positive Solutions for a Nonlocal Resonant Problem of First Order
Mirosława Zima

Keywords: Mathematics, Partial Differential Equations, Special Functions, Functions of a Complex Variable, Integral Equations, Several Complex Variables and Analytic Spaces