Vladimir Maz’ya 
Sobolev Spaces in Mathematics II [PDF ebook] 
Applications in Analysis and Partial Differential Equations

On the Mathematical Works of S.L. Sobolev in the 1930s.- Sobolev in Siberia.- Boundary Harnack Principle and the Quasihyperbolic Boundary Condition.- Sobolev Spaces and their Relatives: Local Polynomial Approximation Approach.- Spectral Stability of Higher Order Uniformly Elliptic Operators.- Conductor Inequalities and Criteria for Sobolev-Lorentz Two-Weight Inequalities.- Besov Regularity for the Poisson Equation in Smooth and Polyhedral Cones.- Variational Approach to Complicated Similarity Solutions of Higher Order Nonlinear Evolution Partial Differential Equations.- L q, p -Cohomology of Riemannian Manifolds with Negative Curvature.- Volume Growth and Escape Rate of Brownian Motion on a Cartan—Hadamard Manifold.- Sobolev Estimates for the Green Potential Associated with the Robin—Laplacian in Lipschitz Domains Satisfying a Uniform Exterior Ball Condition.- Properties of Spectra of Boundary Value Problems in Cylindrical and Quasicylindrical Domains.- Estimates for Completely Integrable Systems of Differential Operators and Applications.- Counting Schrödinger Boundstates: Semiclassics and Beyond.- Function Spaces on Cellular Domains.