报告题目：Positive solutions for a class semipositone  quasilinear problem with Orlicz-Sobolev critical growth

报告人：周家正，巴西利亚大学

报告时间：2023年12月27日（周三）14:00-15:00

报告地点：20-308

报告摘要：In this work, we study the existence of positive solutions for the following class of semipositone quasilinear problems:

 −∆Φu = λf(x, u) + b(u) − a in Ω, u>0 in Ω,

u = 0 on ∂Ω,

where Ω ⊂ R^N is a bounded domain, N ≥ 2, λ, a>0 are parameters, f(x, u) is a Caractheodory function, and b(t) has a critical growth with relation to the Orlicz-Sobolev space W0 1,Φ (Ω). The main tools used are variational methods, a concentration compactness theorem for Orlicz-Sobolev space and some priori estimates. 

报告人简介：周家正，巴西利亚大学，教授，主要从事非线性分析及其应用领域的研究。学术成果主要发表于Z. Angew. Math. Phys.  Proc. Edinb. Math. Soc. Commun. Contemp. Math.  Proc. Roy. Soc. Edinburgh Sect. A.  J. Math. Anal. Appl.等国际知名数学杂志上。

邀请人：非线性分析与PDE团队