Abstract:
The goal of this talk is to present different uniqueness results for problems associated with pseudo-monotone operators having the structure of the p-Laplace operator. The results are quite different when the equations at hand have a strictly monotone lower order term. The topic uses different test functions depending on the assumptions of the coefficients of the operators. Some of them were used in the past but most of the time we simplify them and compare their strength. At the end of the talk we introduce some new type of such operators for which uniqueness can be proved roughly speaking the same way.
Biography:
Michel Chipot has been professor at the University of Zurich since 1995. He graduated in 1981 (thèse d'état) at the University of Paris VI under the supervision of H. Brezis. His research interests in nonlinear analysis include variational inequalities, elliptic equations and systems, parabolic equations, calculus of variations, and numerical methods. He is a member of the editorial board of more than 20 journals and a fellow of the European Academy of Science. He is the editor of 17 books of proceedings and editor of the handbook of differential equations (Stationary Partial Differential Equations, 6 Volumes), and the author of more than 200 articles and 7 books.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai
This event is open to the NYU Shanghai community and Math community.