Handbook of Differential Equations: Stationary Partial Differential Equations, Volume 5 (Handbook of Differential Equations: Stationary Partial Differential Equations)

Main subject categories: • Stationary partial differential equations • Differential equations • Partial differential equations • Semilinear Elliptic Systems: Existence, Multiplicity, Symmetry of Solutions • Nonlinear Variational Problems via the Fibering Method • Superlinear Elliptic Equations and Systems • Nonlinear Eigenvalue Problem with Quantization • Stationary Problem of Boltzmann Equation • Existence and Stability of Spikes for the Gierer–Meinhardt SystemThis handbook is the fifth 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 semilinear and superlinear elliptic systems, the fibering method for nonlinear variational problems, some nonlinear eigenvalue problems, the studies of the stationary Boltzmann equation and the Gierer–Meinhardt system. 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. 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 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.\* 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 A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.

* Written by well-known experts in the field
* Self contained volume in series covering one of the most rapid developing topics in mathematics
* Informed and thoroughly updated for students, academics and researchers