报告题目: Non-local problems involving the 1-Laplace operator

报告人：张超 教授 哈尔滨工业大学

报告时间：2025年11月22日 14：00-15：00

报告地点：数学楼第一报告厅

报告摘要: We investigate the elliptic nonlocal (1, p)-Laplace equation, which incorporates both the nonlocal one-Laplace and nonlocal p-Laplace operators. This talk focuses on establishing the Sobolev regularity of weak solutions to such equations, with a particular emphasis on proving their almost Lipschitz continuity. The main analytical tools are the finite difference quotient technique, suitable energy method and tail estimates. Based on joint work with Dingding Li.

报告人简介：张超，哈尔滨工业大学，教授，本科和硕士毕业于吉林大学，博士毕业于北京大学。主要从事函数空间理论、非线性椭圆和抛物型偏微分方程的适定性和正则性等方面的研究，在Math. Ann., J. London Math. Soc, J. Func. Anal., Calc. Var. Partial Differential Equations, Indiana Univ. Math. J., Israel J. Math., IMRN, J. Differential Equations, J. Geom. Anal.和Bull. Lond. Math. Soc.等权威期刊发表论文50余篇。目前担任黑龙江省数学会秘书长，国际SCI期刊《Bulletin Mathematical Sciences》编委.