Handbook of Differential Equations: Stationary Partial Differential Equations Volume 6

Main subject categories: • Stationary partial differential equations • Differential equations • Partial differential equations • Domain Perturbation for Linear and Semi-Linear Boundary Value Problems • Singular solutions of Semi-linear Elliptic Problems • Positive Solutions to Semi-linear and Quasi-linear Elliptic Equations on Unbounded Domains • Symmetry of Solutions of Elliptic Equations via Maximum Principles • Stationary Boundary Value Problems for Compressible Navier–Stokes equations • Positive Solutions for Lotka-Volterra Systems with Cross-Diffusion • Fixed Point Theory and Elliptic Boundary Value Problems

This handbook is the sixth and last volume in the 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 in particular domain perturbations for boundary value problems, singular solutions of semi-linear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier–Stokes equation, Lotka–Volterra systems with cross-diffusion, fixed-point theory for elliptic boundary value problems. I hope that these surveys will be useful for both beginners and experts and help to a wide diffusion of these recent and deep results in mathematical science.