This volume contains papers on semi-linear and quasi-linear elliptic equations from the workshop on Nonlinear Elliptic Partial Differential Equations, in honor of Jean-Pierre Gossez's 65th birthday, held September 2-4, 2009 at the Universite Libre de Bruxelles, Belgium. The workshop reflected Gossez's contributions in nonlinear elliptic PDEs and provided an opening to new directions in this very active research area. Presentations covered recent progress in Gossez's favorite topics, namely various problems related to the $p$-Laplacian operator, the antimaximum principle, the Fucik Spectrum, and other related subjects. This volume will be of principle interest to researchers in nonlinear analysis, especially in partial differential equations of elliptic type.
First Order Elliptic Systems: A Function Theoretic Approach
The goal of the book is to extend classical regularity theorems for solutions of linear elliptic partial differential equations to the context of fully nonlinear elliptic equations.
This volume is based on PDE courses given by the authors at the Courant Institute and at the University of Notre Dame, Indiana.
The book features appropriate materials and is an excellent textbook for graduate students. The volume is also useful as a reference source for undergraduate mathematics majors, graduate students, professors, and scientists.
This is a reader-friendly, relatively short introduction to the modern theory of linear partial differential equations.
This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations.
Recent results for asymmetric nonlinear boundary value problems / D. Arcoya -- Connecting orbits of Hamiltonian systems / S.V. Bolotin -- Morse theory in nonlinear analysis / K.-C. Chang -- Critical point theory and applications to elliptic ...
Second Order Elliptic Equations and Elliptic Systems
This book provides a comprehensive introduction to the mathematical theory of nonlinear problems described by elliptic partial differential equations.
Intended mainly for use as a reference manual, this edition encompasses all the improvements of the newest version of the PLTMG software package. This updated version introduces several significant changes.