报告题目：Higher Sobolev regularity on the mixed local and nonlocal p-Laplace equations
报告人：方玉周
邀请人：熊棋
报告时间：2025年5月9日 14:00-15:00
报告地点： 腾讯会议：670-349-390
摘要： In this talk, I will introduce the interior Sobolev regularity of weak solutions to the mixed local and nonlocal p-Laplace equations. To be precise, the weak solution u is shown to belong to W^{2,p} and even W^{2,2} Sobolev spaces in the subquadratic case, while |∇u|^{ (p−2)/ 2}∇u is of the class W^{1,2} in the superquadratic scenario, both of which coincide with that of the classical p-Laplace equations. Moreover, an improved higher fractional differentiability and integrability result u∈W^{1+β,q} is proved in the full range p∈ (1,∞) for any q∈ [max{p, 2},∞] and β∈ (0, 2/q). This is joint work with Dingding Li and Chao Zhang.
报告人介绍：方玉周，博士毕业于哈尔滨工业大学，现为哈工大时时彩计划
副研究员。研究兴趣主要集中于椭圆和抛物型方程的正则性等理论，研究成果发表于Math. Ann., Indiana Univ. Math. J., J. Lond. Math. Soc., IMRN等期刊。
