Springer Around the Research of Vladimir Maz'ya II - PDEs

Explore advanced mathematical concepts in Around the Research of Vladimir Maz'ya II: Partial Differential Equations. This volume, part of the International Mathematical Series (12), focuses on topics closely related to the scientific interests and influential works of Professor Maz'ya. It provides a deep look into the theory of PDEs through various modern mathematical lenses. Readers will find detailed presentations on recent developments in the study of semilinear elliptic equations and stationary Navier-Stokes equations. The text also covers the Stokes system in convex polyhedra, periodic scattering problems, and problems involving perturbed boundaries at a conic point. Additionally, it addresses singular perturbations that arise in elliptic shells and other essential problems within mathematical physics. This book serves as a specialized resource for researchers and academics working in mathematical analysis and differential equations.