蓝永艺,男,博士,博士后。主要从事非线性泛函分析和微分方程的教学与科研工作。主持国家自然科学基金子课题项目1项,福建省自然科学基金项目1项。综合运用变分方法,临界点理论和扰动方法等多种非线性分析方法研究了二阶椭圆边值问题, 获得了一系列新的可解性条件。在Proceedings of the Royal Society of Edinburgh、Acta Mathematica Scientia、Mediterr. J. Math.、Electronic Journal of Differential Equations、《中国科学》和《数学学报》等国内外重要学术期刊上发表论文多篇,其中10篇被SCI检索。
[1]Lan Yongyi,Tang Chunlei,Existence of solutions to a class of semilinear elliptic equations involving general subcritical growth;Proceedings of the Royal Society of Edinburgh;144A, 809--818, 2014.
[2] Lan Yongyi,Tang Chunlei, Perturbation methods in semilinear elliptic problems involving critical Hardy-Sobolev exponent, Acta Mathematica Scientia; 2014,34B(3):703--712.
[3] Lan Yongyi,Existence of Solutions to a Class of Kirchhoff-Type Equation with a General Subcritical Nonlinearity;Mediterr. J. Math. 12 (2015), 851--861.
[4] Lan Yongyi, Existence of solutions for Kirchhoff equations with a small perturbations;Electronic Journal of Differential Equations;Vol. 2016 (2016), No. 225, pp. 1--12.
[5] ChengLiXin, LinGuoChen, LanYongYi, LiuHui, Measure theory of statistical convergence. Sci. China Ser. A 51 (2008), no. 12, 2285–2303.
[6]YongYi Lan, BiYun Tang, Xian Hu, Positive solution of a Schr$\ddot{\mbox{o}}$dinger-Poisson system with Hardy potential and indefinite nonlinearity; Electronic Journal of Differential Equations;Vol. 2020 (2020), No. 47, pp. 1--10.
[7] 蓝永艺,唐春雷, 具有Hardy奇异项的共振半线性椭圆方程的解,数学学报;第56卷第1期,(2013)01, 121--0134。
[8] 程立新,蓝永艺,林国琛,柳辉,统计收敛的测度理论, 中国科学A辑:数学 2008, 38(4) 450--468。