报告题目：The P(U)-Laplacian Problem

报告时间：2019年12月11日，星期三，上午10：15—11：45

报告地点：数学楼2-2会议室

报告人：MICHEL CHIPOT教授，瑞士苏黎世大学数学研究所

报告摘要：

We consider the p-Laplacian problem with the exponent of the nonlinearity p depending on the solution u. Both situations when p(u) is a local quantity or when p(u) is nonlocal are studied. For the associated boundary-value local problem, we prove the existence of weak solutions by using a singular perturbation technique. We also prove the existence of weak solutions to the nonlocal version of the associated boundary-value problem. The issue of uniqueness for these problems is addressed, in particular by working out the uniqueness for a one dimensional local problem and by showing that the uniqueness is easily lost in the nonlocal case. (Joint work with H.B. de Oliveira).

Short Vita of Prof.Michel Chipot：

Education

 Ph.D., 1981, University of Paris VI，Advisor: H. Brezis

Research Interests

Variational inequalities, Elliptic equations and systems,Parabolic equations, Calculus of variations, Applications, Numerical analysis.

Main Positions Held

1981-1982 Visiting Assistant Professor (Brown University)

1983-1984 Visiting Associate Professor (University of Maryland, USA)

1984-1985 Research Associate, University of Minnesota, Minneapolis, USA)

1985-1995 Professor (University of Metz)

1995- Professor Ordinarius (University of Zurich)

Honor

Elected member of the European Academy of Sciences (2009).

Publications

Author of more than 180 articles and 7 books.