走向现代数学学术报告 - 刘海东教授（No. 843)

报告题目：Nonlinear elliptic equations with perturbed symmetry

报告时间：2025年11月6日 8:30

腾讯会议ID：974 145 135

报 告 人：刘海东 教授（嘉兴大学）

邀 请 人：王大斌 教授

报告摘要：We consider nonlinear elliptic equations with perturbed symmetry. While we have a small parameter ε to drive the perturbing term, we only need very weak growth conditions on the unperturbed nonlinear term and the perturbing term. We prove that the equations have as many solutions as prescribed when $|\varepsilon|$ is suitably small. We give a further extension of the classical result of Berestycki and Lions [ARMA, 82 (1983), 347-375] and we also improve the famous symmetric mountain pass theorem due to Ambrosetti and Rabinowitz [JFA, 14 (1973), 349-381].

报告人简介：刘海东，嘉兴大学教授，硕士生导师。研究领域为非线性泛函分析与偏微分方程，先后主持国家自然科学基金4项、浙江省自然科学基金2项，在Indiana Univ. Math. J., J. Lond. Math. Soc., Nonlinearity, Calc. Var. Partial Differential Equations, J. DifferentialEquations等期刊发表论文30余篇。