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The p(u) -Laplacian Problem

来源:复旦大学数学科学学院 | 2019-10-18 | 发布:新葡京官网

报告题目: The p(u) -Laplacian Problem报 告 人:Prof . Michel Chipot报告人所在单位:University of Zurich报告日期:2019-10-30 星期三报告时间:13:30-14:30报告地点:光华东主楼2001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).

简介:Michel Chipot为苏黎世大学数学研究所教授,2009年当选欧洲科学院院士,Journal of Elliptic and Parabolic Equations的创始人和现任主编。

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本年度学院报告总序号:225
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