应数学系薛小平教授的邀请，受国际合作处资助，雅典国立科技大学Nikolaos S. Papageorgiou教授将于近日来访我校，并做系列专题报告，欢迎感兴趣的师生参加。

报告1 ：Resonant (p; 2)-equations

时间和地点：2018.6.12, 14:00-15:30, 格物楼503

报告2：Nodal Solutions for Nonlinear Nonhomogeneous Robin Problems

报告3：Nonlinear Dirichlet Problems with Convection

时间和地点：2018.6.13, 14:00-17:00，格物楼503

报告4：Nonlinear Singular Dirichlet Problems

报告5：Nonlinear Multivalued Lienard Systems

时间和地点：2018.6.15, 14:00-17:00，格物楼503

专家简介：Nikolaos S. Papageorgiou教授，现任雅典国立科技大学教授，先后毕业于MIT和Harvard大学，主要研究领域有非线性泛函分析、偏微分方程、优化与最优控制等，曾担任Disc. Cont. Dynam. Syst., Nonlinear Anal.等著名SCI刊物的副主编，在Trans. Amer. Math. Soc.， Memoirs Amer. Math. Soc.等权威刊物上发表SCI收录论文300余篇，在Kluwer, Springer等著名机构出版学术专著8部。

摘要1：We examine resonant (p,2)-equations, that is, equations driven by the sum of a p-Laplacian and a Laplacian. We consider both the degenerate case (2<p<\infty) and the singular case (1<p<2). Using variational tools together with truncation techniques and Morse theory we prove existence and multiplicity results, under resonance conditions.

摘要2：We consider nonlinear Robin problems driven by a nonhomogeneous differential operator, which includes as special cases the p-Laplacian and the (p,q)-Laplacian. Using point theory together with suitable truncation, perturbations and comparison tools and critical groups, we obtain the existence of nodal solution. Under symmetry conditions, we prove the existence of a whole sequence of nodal solutions converging to zero in C^{1}(\bar{\Omega}).

摘要3：We examine a Dirichlet problem drive by the p-Laplacian with a reaction depending on the gradient (convection term). We obtain the existence of a positive smooth solution. Our method of proof employd the so-called freezing method together with suitable comparision techniques, the theory of nonlinear operators of monotone type, the nonlinear Krein-Rutman theorem and the Leray-Schauder alternative principle.

摘要4：We study a parametric Dirichlet problem driven by the p-Laplacian with a reaction which exhibits the competing effects of a singular term and of a superlinear perturbation. We look for positive solutions and prove a bifurcation-type result describing the dependence of the positive solutions on the parameter \lambda>0.

摘要5：We study nonlinear multivalued periodic Lienard systems driven by a very general nonhomogeneous differential operator and with maximal monotone terms (variational differential inequalities). We prove existence theorems for the convex and nonconvex problems and also obtain the existence of extermal trajectories. Finally we prove a strong relaxation theorem