中科院数学与系统科学研究院
数学研究所
学术报告
偏微分方程研讨班
报告人：郭斌 (吉林大学)
题 目：Improved local bound and Hölder continuity of solutions to nonuniform elliptic equations
时 间：2024. 01.18（星期四）14:30-15:30
地 点：数学院南楼N208
摘 要：The aim of this talk is to give the relationship between local boundedness of the weak solution of nonuniformly elliptic equations and the regularity of the coefficient matrix as well as the nonhomogeneous term. In particular, some sharp conditions for the nonhomogeneous term are also obtained. At the same time, Hölder continuity of solutions was also proved by Morse iterative technique.
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