Handbook of Differential Equations: Stationary Partial Differential Equations Volume 4

Main subject categories: • Stationary partial differential equations • Differential equations • Partial differential equations • Rearrangements and Applications to Symmetry Problems in PDE • Liouville-Type Theorems for Elliptic Problems • Similarity and Pseudosimilarity Solutions of Degenerate Boundary Layer Equations • Monotonicity and Compactness Methods for Nonlinear Variational Inequalities • Stationary Navier–Stokes Flow in 2-D Channels Involving the General Outflow Condition • Maximum Principles for Elliptic Partial Differential Equations • Singular Phenomena in Nonlinear Elliptic Problems: From Blow-Up Boundary Solutions to Equations with Singular Nonlinearities

This handbook is the volume IV in a series devoted to stationary partial differential equations. As the preceding volumes, it is a collection of self-contained, state-of-the-art surveys written by well-known experts in the field.

The topics covered by this volume include rearrangements techniques and applications, Liouville-type theorems, similarity solutions of degenerate boundary layer equations, monotonicity and compactness methods for nonlinear variational inequalities, stationary Navier–Stokes flow in two dimensional channels, the investigation of singular phenomena in nonlinear elliptic problems. It includes also a very complete study of the maximum principles for elliptic partial differential equations. I hope that these surveys will be useful for both beginners and experts and help to the diffusion of these recent deep results in mathematical science.