报告地点：行健楼学术活动室526
邀请人：数学研究所
摘要：Let us consider a class of semilinear elliptic equations with Dirichlet boundary conditions. By combining the perturbation from symmetry method with the approaches involving eigenvalue estimate and Morse index in estimating the min-max values, we obtain two kinds of existence results for multiple weak solutions to the problem above. Furthermore, we discuss the difference between the eigenvalue estimate approach and the Morse index approach in degenerate situations. Compared with the classical elliptic cases, both approaches here have their own strengths in the degenerate cases. This new phenomenon implies the results in general degenerate cases would be quite different from the situations in classical elliptic cases.
报告人简介：国家级重大人才项目获得者，国家天元数学中心中部中心执行主任，武汉大学数学协同创新中心主任，湖北省数学学会理事长。曾任武汉大学数学与统计学院院长，国务院学科评议组成员，曾获得教育部自然科学一等奖。陈化教授在偏微分方程、微局部分析和分形鼓与分形障碍散射理论等领域取得了系列重大的研究成果。
