代国伟 - 大连理工大学 - 数学科学学院

个人简介

Educational Experience 2010.9 2013.6 西北师范大学基础数学Doctoral Degree 2006.9 2009.6 兰州大学非线性泛函分析Master's Degree 2001.9 2005.6 西北师范大学数学与应用数学Bachelor's Degree Work Experience 2014.11 Now 大连理工大学数学科学学院副教授 2009.7 2014.11 西北师范大学副教授 2005.7 2006.8 甘肃建筑职业技术学院助教

研究领域

分歧理论及其应用。内容：主要建立抽象分歧理论，研究微分方程谱理论，并研究非线性微分方程解集的全局结构，进而将相关结果应用到实际问题中

近期论文

查看导师新发文章（温馨提示：请注意重名现象，建议点开原文通过作者单位确认）

Luo, Hua,Dai, Guowei.Bifurcation of displacement problem in nonlinear elastostatics[J],APPLIED MATHEMATICS LETTERS,2019,90:170-174 Liu, Wulong,Dai, Guowei.Three ground state solutions for double phase problem[J],JOURNAL OF MATHEMATICAL PHYSICS,2018,59(12) Liu, Wulong,Dai, Guowei.Existence and multiplicity results for double phase problem[J],JOURNAL OF DIFFERENTIAL EQUATIONS,2018,265(9):4311-4334 Cao, Xiaofei,Dai, Guowei.SPECTRUM, GLOBAL BIFURCATION AND NODAL SOLUTIONS TO KIRCHHOFF-TYPE EQUATIONS[J],ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS,2018,2018 Dai, Guowei.Global structure of one-sign solutions for problem with mean curvature operator[J],NONLINEARITY,2018,31(11):5309-5328 Dai, Guowei,Luo, Hua.Global structure of admissible solutions for the k-Hessian equation on bounded domain[J],APPLIED MATHEMATICS LETTERS,2018,84:155-159 Dai, Guowei,Romero, Alfonso,Torres, Pedro J..Global bifurcation of solutions of the mean curvature spacelike equation in certain Friedmann-Lemaitre-Robertson-Walker spacetimes[J],JOURNAL OF DIFFERENTIAL EQUATIONS,2018,264(12):7242-7269 Liu, Qiao,Dai, Guowei.On the 3D Navier-Stokes equations with regularity in pressure[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2018,458(1):497-507 Cao, Xiaofei,Dai, Guowei,Zhang, Ning.GLOBAL STRUCTURE OF POSITIVE SOLUTIONS FOR PROBLEM WITH MEAN CURVATURE OPERATOR ON AN ANNULAR DOMAIN[J],ROCKY MOUNTAIN JOURNAL OF MATHEMATICS,2018,48(6):1799-1814 Dai, Guowei.Bifurcation and Nonnegative Solutions for Problems with Mean Curvature Operator on General Domain[J],INDIANA UNIVERSITY MATHEMATICS JOURNAL,2018,67(6):2103-2121 Dai, Guowei.Bifurcation and admissible solutions for the Hessian equation[J],JOURNAL OF FUNCTIONAL ANALYSIS,2017,273(10):3200-3240 Dai, Guowei,Yao, Jinghua,Li, Fengquan.Spectrum and bifurcation for semilinear elliptic problems in R-N[J],JOURNAL OF DIFFERENTIAL EQUATIONS,2017,263(9):5939-5967 Liu, Wulong,Dai, Guowei.MULTIPLE SOLUTIONS FOR A FRACTIONAL NONLINEAR SCHRODINGER EQUATION WITH LOCAL POTENTIAL[J],COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2017,16(6):2105-2123 Cao, Xiaofei,Dai, Guowei.STABILITY ANALYSIS OF A MODEL ON VARYING DOMAIN WITH THE ROBIN BOUNDARY CONDITION[J],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S,2017,10(5):935-942 Dai, Guowei.Global bifurcation for problem with mean curvature operator on general domain[J],NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS,2017,24(3) Dai, Guowei,Wang, Jun.NODAL SOLUTIONS TO PROBLEM WITH MEAN CURVATURE OPERATOR IN MINKOWSKI SPACE[J],DIFFERENTIAL AND INTEGRAL EQUATIONS,2017,30(5-6):463-480 代国伟,李风泉.Spectrum and bifurcation for semilinear elliptic problems in RN[J],J. Differential Equations,2017,263(9):5939-5967 徐嘉,王燕霞,代国伟.与Fisher-Kolmogorov's方程相关的一个差分方程的最快异宿解[J],数学物理学报,2016,36(6):1145-1156 Dai, Guowei,Yang, Bianxia.Positive Answer to Berestycki's Open Problem on the Unit Ball[J],ADVANCED NONLINEAR STUDIES,2016,16(4):643-652 Dai, Guowei.BIFURCATION AND ONE-SIGN SOLUTIONS OF THE p-LAPLACIAN INVOLVING A NONLINEARITY WITH ZEROS[J],DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2016,36(10):5323-5345 Dai, Guowei.EIGENVALUES, GLOBAL BIFURCATION AND POSITIVE SOLUTIONS FOR A CLASS OF NONLOCAL ELLIPTIC EQUATIONS[J],TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2016,48(1):213-233 Dai, Guowei.Two Whyburn type topological theorems and its applications to Monge-Ampere equations[J],CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2016,55(4) Dai, Guowei.Bifurcation and positive solutions for problem with mean curvature operator in Minkowski space[J],CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2016,55(4) Dai, Guowei.Two global several-parameter bifurcation theorems and their applications[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2016,433(2):749-761 Dai, Guowei,Ma, Ruyun.EIGENVALUE, BIFURCATION, CONVEX SOLUTIONS FOR MONGE-AMPERE EQUATIONS[J],TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS,2015,46(1):135-163 Cheng, Xiyou,Dai, Guowei.Positive solutions for p-Kirchhoff type problems on R-N[J],MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2015,38(12):2650-2662 Cheng, Xiyou,Dai, Guowei.Positive solutions of sub-superlinear Sturm Liouville problems[J],APPLIED MATHEMATICS AND COMPUTATION,2015,261:351-359 Dai, Guowei,Wang, Haiyan,Yang, Bianxia.Global bifurcation and positive solution for a class of fully nonlinear problems[J],COMPUTERS & MATHEMATICS WITH APPLICATIONS,2015,69(8):771-776