This handbook is the sixth and last volume in the series devoted to stationary partial differential equations. The topics covered by this volume include in particular domain perturbations for boundary value problems, singular solutions of semilinear elliptic problems, positive solutions to elliptic equations on unbounded domains, symmetry of solutions, stationary compressible Navier-Stokes equation, Lotka-Volterra systems with cross-diffusion, and fixed point theory for elliptic boundary value problems.

Key Features

* Collection of self-contained, state-of-the-art surveys * Written by well-known experts in the field * Informs and updates on all the latest developments


Graduate students and academics in mathematics

Table of Contents

1. Domain Perturbation for Linear and Semi-Linear Boundary Value Problems, D. Daners. 2. Singular solutions of semi-linear elliptic problems J. Dávila. 3. Positive solutions to semi- linear and quasi-linear elliptic equations on unbounded domains, V. Kondratiev, V. Liskevich and Z. Sobol. 4. Symmetry of solutions of elliptic equations via maximum principles, F. Pacella and M. Ramaswamy. 5. Stationary Boundary Value Problems for Compressible Navier-Stokes equations, P.I. Plotnikov and J. Sokolowski. 6. Positive Solutions for Lotka-Volterra Systems with Cross- Diffusion, Y. Yamada. 7. Fixed Point Theory and Elliptic Boundary Value Problems, H. Zou.


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© 2008
Elsevier Science
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About the editor

Michel Chipot

Affiliations and Expertise

University of Zurich, Switzerland