发表于工程数学学报的论文

[1]一类拟线性椭圆型方程广义解最大模的先验估计，数学学报，VOL.36,NO.1(1993),1—12;[2]非一致椭圆型方程的广义Grenn函数，数学物理学报，NO.1(1994),42—53;[3]对角形椭圆型方程组广义解的最大模估计，数学物理学报，1992（增刊），62—71；[4]Regularity of Solutions to an Elliptic Variational inequatity system,systems Science and Mathematical Science,VOL.10,NO.1(1997);[5]临界增长的椭圆型方程广义解的有界性及先验估计，系统科学与数学，VOL.17,NO.33(1997),232-243;[6]拟线性椭圆型方程广义解的Liouville定理,数学研究与评论,VOL.13,NO.2(1993),263—270;[7]系数连续的随机泛函型微分方程解的存在性,数学研究与评论,VOL.15,NO.2(1995),267—270;[8]Oscilation of second order delay difference equations,Ann ofdiffeqs,VOL.10,NO.1(1994),69-74;[9]A priori estimate for maximum modulus of generaeized solutions ofquasilinear elliptic equations,Appl Math and Mechanics,VOL.11,NO.10(1990),941-953;[10]The older continuity for the gradient of solutions to one-sidedobstacle problems, Appl Math and Mech,VOL.13,NO.9(1992),841-850;[11]A priori estimates to the maximum modulus of generalized solutions ofa class of quasilinear elliptic equations with anisotropic growthconditions, Appl Math and Mech,VOL.15,NO.11(1994),1025-1034;[12]The holder continuity of generalized solutions of A class quasilinearparabolic equations, Appl Math and Mech,Vol.19,No.6(1998),573-583;[13]A priori etimate for lower solutions of a class quasilinear ellipticequations,Appl Math and Mech,Vol.20,No.2(1999),232-233;[14]拟抛物型方程广义解的局部有界性，应用数学，VOL.5,NO.2(1992),88—96;[15]一类拟线性椭圆型方程在各向异性Sobolev空间中非平凡解的存在性,应用数学,VOL.8,NO.3 (1995）；[16]各向异性Sobolev空间中拟线性椭圆型方程解的局部有界性,应用数学,VOL.9,NO.1(1996),9—14;[17]一类退化椭圆型方程广义解梯度的Holder连续性,应用数学,VOL.10,NO.3(1997),55—60;[18]一类对角形椭圆型方程组的解的Liouville定理,数学的实践与认识,VOL.28,NO.2(1998),144—153;[19]面向21世纪工科数数学教学内容与课程体系改革与实践,数学的实践与认识VOL.27,(增)1997, 135—139;[20]一类蜕化椭圆型方程组广义解的最大模原理,数学研究记事,VOL.26,NO.2(1993),82—86;[21]一类概率2－距离空间中交换映象对的公共不动点定理,工程数学学报,VOL.11,NO.3(1994),55—64;[22]椭圆变分不等式双侧障碍问题的Holder连续性,工程数学学报,VOL.16,NO.1(1999),43—47[23]乘积空间中映象的不动点定理,自然杂志,VOL.13,NO.9(1990),615;[24]2－Banach空间中非扩张映象的不动点定理,自然杂志,VOL.13,NO.10(1990), 696;[25]抛物型方程广义解的弱最大值原理,VOL.14,NO.4(1991);[26]拟椭圆型方程广义解的Liouvell定理,自然杂志,VOL.15,NO.1(1992);[27]Caristi型不动点定理及应用,自然杂志,VOL.15,NO.4(1992),311;[28]拟线性椭圆型方程广义解的最大值原理,自然杂志,VOL.15,NO.6(1992),412;[29]一类双侧障碍问题解梯度的Holder连续性,中国工业与应用数学学会第四次大会论文集,1996，(CSTAM’96),70—75 (复旦大学出版社,1996);[30]关于Riemann可积的Lebesgue定理的一个初等证明,工科数学,VOL.9,NO.4(1993),127—131;[31]一类双边退缩抛物型方程的混合问题的广义解的正则性,工科数学,VOL.13,NO.2(1997),70—71;[32]一类非线性积分方程非负解的存在性,工科数学,VOL.15,NO.2(1999),87—89;[33]一类双边退缩抛物型方程的Cauchy－Dirichlet问题——解的唯一性和极值原理,河南科学，VOL.6,NO.3(1988),1—8;[34]C－型概率内积空间的线性泛函与线性算子理论,河南科学,VOL.7,NO.1、2(1989),28—32;[35]非标准增长拟线性椭圆方程非平凡解的存在性,河南科学,VOL.12,NO.4(1994),267—274;[36]一类退化抛物型方程广义解梯度的Holder连续性,河南科学,VOL.13,NO.2(1995),104—110;[37]Acerbi－Fusco定理的一个新证明,河南科学,VOL.14,NO.2(1996),111—117;[38]拟线性椭圆型方程广义解最大模的先验估计,应用数学和力学,VOL.11，NO.10(1990),881—892;[39]单侧障碍问题解梯度的Holder连续性,应用数学和力学,VOL.13,NO.9(1992),811—820;[40]各向异性增长拟线性椭圆型方程广义解最大模的先验估计,应用数学和力学,VOL.15，NO.11(1994),971—980;[41]一类拟线性抛物型方程广义解的Holder连续性,应用数学和力学,VOL.19，NO.6(1998),539—548;[42]一类拟线性椭圆型方程下解的先验估计,应用数学和力学,VOL.20,NO.2(1999),217—219;

[1] Rong An, Yuan Li, Kaitai Li. Finite element approximation for fourth-order nonlinear problem in the plane. Applied Mathematics and Computation, 2007, 194(1): 143-155. [2] Yuan Li, Rong An, Kaitai Li. Some optimal error estimates of biharmonic problem using conforming finite element. Applied Mathematics and Computation, 2007, 194(2): 298-308. [3] 李媛，安荣，李开泰. 一个新Pohozaev 恒等式及其在四阶拟线性椭圆方程中的应用. 西安交通大学学报(自然科学版), 2007, 41(10), 1245-1247. [4] Rong An, Kaitai Li. Variational inequality for the rotating Navier-Stokes equations with subdifferential boundary conditions. Computers and Mathematics with Applications, 2008, 55(3): 581-587. [5] Kaitai Li, Rong An. On the rotating Navier-Stokes equations with mixed boundary conditions. Acta Mathematica Sinica, 2008, 24 (4): 577-598. [6] Rong An, Kaitai Li, Yuan Li. Solvability of the 3D rotating Navier-Stokes equations coupled with a 2D biharmonic problem with obstacles and gradient restriction. Applied Mathematical Modelling. 2009, 33(6): 2897-2906. [7] Rong An, Yuan Li, Kaitai Li. Solvability of Navier-Stokes Equations with Leak Boundary Conditions. Acta Mathematicae Applicatae Sinica, English Series, 2009, 25(2): 225-234. [8] Rong An. Discontinuous Galerkin Finite Element Method for the Fourth-Order Obstacle Problem. Applied Mathematics and Computation, 2009, 209(2): 351-355. [9] 安荣,张正策,李媛,李开泰. 具有指数增长的非线性P-双调和问题解的存在性和非存在性.数学年刊, 2009, 30(1): 1-12. [10] 安荣，李开泰. 混合边界条件下非齐次定常Navier-Stokes方程弱解的存在性, 应用数学学报，2009, 32(4): 664-672. [11] 安荣，李开泰. 四阶障碍问题的稳定化混合有限元方法. 应用数学学报，2009，32(6): 1068-1078. [12] 安荣，李媛，李开泰. 混合边界条件下定常Navier-Stokes方程解的正则性. 应用数学，2009，22(1): 83-89. [13] Rong An, Kaitai Li. The boundary integral method for the steady rotating Navier-Stokes equations in exterior domain (I): the existence of solution, Nonlinear Differ. Equ. Appl., 2010, 17(1): 95-108 [14] Rong An, Kaitai Li. The boundary integral method for the linearized rotating Navier-Stokes equations in exterior domain. Applied Mathematics & Computation, 2010, 216(9): 2671-2678. [15] 安荣，李开泰. Plate Contact问题的混合有限元逼近. 数学物理学报，2010，30(3): 666-676. [16] 安荣，李开泰，李媛. 四阶拟线性椭圆方程的有限元误差估计. 工程数学学报，2010，27(3): 527-533. [17] Rong An, Yuan Li, Kaitai Li. Fundamental Solution of Rotating Generalized Stokes Problem in R3. Acta Mathematicae Applicatae Sinica, English Series, 2011, 27(4): 761-768. [18] Yuan Li, Rong An. Two-Level Pressure Projection Finite Element Methods for Navier-Stokes Equations with Nonlinear Slip Boundary Conditions. Applied Numerical Mathematics, 2011, 61(3):285-297. [19] Yuan Li, Rong An. Semi-discrete Stabilized Finite Element Methods for Navier-Stokes Equations with Nonlinear Slip Boundary Conditions Based on Regularization Procedure, Numer. Math., 2011, 117(1):1-36. [20] Rong An, Kaitai Li. Approximation for Navier-Stokes equations around a rotating obstacle. Applied Mathematics Letters, 2012, 25(2):209-214. [21] Yuan Li, Rong An. Penalty Finite Element Method for Navier-Stokes Equations with Nonlinear Slip Boundary Conditions. International Journal for Numerical Methods in Fluids, 2012, 69(3): 550-566. [22] Rong An, Hailong Qiu. Two-Level Newton iteration methods for Navier-Stokes type variational inequality problem. Advances in Applied Mathematics and Mechanics, 2013, 5(1): 36-54. [23] Rong An, Yuan Li. Augmented Lagrange iteration method for fourth-order obstacle problem with gradient restriction (in Chinese). Mathematica Numerica Sinica, 2013, 35(1): 11-20[24] Rong An, Xuehai Huang. Constrained C0 Finite element methods for biharmonic problem. Abstract and Applied Analysis, vol. 2012, Article ID 863125, 19pages, 2012.[25] Rong An, Kaitai Li. Accuracy Analysis of the Boundary Integral Method for Steady Navier-Stokes Equations around a Rotating Obstacle. Acta Mathematicae Applicatae Sinica, English Series, to appear.[26] Yuan Li, Rong An. Two-Level Iteration Penalty Methods for Navier-Stokes Equations with Friction Boundary Conditions. Abstract and Applied Analysis,Volume 2013, Article ID 125139, 17 pages [27] Rong An, Yuan Li. two-level penalty finite element methods for Navier-Stokes equations with nonlinear slip boundary conditions, International Journal of Numerical Analysis and Modeling, to appear.[28] Rong An, Xian Wang, Discontinuous Galerkin finite element method for Plate contact problem with frictional boundary conditions, Journal of Numerical Mathemativs, to appear