中科院数学与系统科学研究院
数学研究所
非线性分析研讨班
报告人：杨敏波 教授（浙江师范大学）
题 目：Global multiplicity of solutions for a modified elliptic problem with singular terms
时 间：2020.09.25（星期五），15 :10-16:10
地 点：腾讯会议 275 765 183
摘 要：In this talk we introduce some global multiplicity results of solutions for the singular nonlinear problem {？？u？u？u2 = λa(x)u？α + b(x)uβ in ？, u > 0 in ？, u = 0 on ？？, where ？ ？RN is a smooth bounded domain; N ≥ 3; a,b are bounded continuous functions, 0 < α < 1 < β ≤ 22？？1 and λ > 0 is a real parameter. We first prove a comparison principle to prove the existence of a minimal solution by the method of sub and super solutions and then we also obtain the second solution by critical point theory.
