中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
非线性泛函分析研讨班
Speaker: 彭少龙 副教授 (北京航空航天大学)
Inviter: 孙黎明
Language: Chinese
Title：Qualitative properties of solutions for semilinear and quasilinear elliptic equations
Time&Venue：2026年3月12日（星期四）16:00-17:00 （思源楼 S713）
Abstract: In this talk, we study the classification results of solutions to some semilinear elliptic system. We first derive the equivalence between PDE system and the corresponding IEs system. And then applying the method of moving spheres (or scaling sphere) in integral form combined with integral inequalities, under certain assumptions, we give a complete classification (or Liouville-theorem) of the classical solutions to mixed order elliptic system. Next, we study the classification results of solutions to quasilinear elliptic equations. By using the vector field and integration method. We derived the classification result to n-Laplacian Liouville equation with positive nonlinear Neumann boundary condition on the half-space.
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