趙培浩，男，畢業於蘭州大學，博士，蘭州大學數學與統計學院教授。
基本介紹
- 中文名：趙培浩
- 學位/學歷：博士
- 職業：教師
- 專業方向：非線性橢圓偏微分方程等
- 任職院校：蘭州大學數學與統計學院
研究方向,個人經歷,主講課程,學術成果,榮譽獎項,
研究方向
1. 非線性橢圓偏微分方程
2. 非線性泛函分析個人簡歷 教育及工作背景：
個人經歷
1980年畢業於甘肅省寧縣和盛中學
1984年畢業於蘭州大學數學力學係數學專業，獲學士學位
1990年畢業於蘭州大學數學系基礎數學專業，獲碩士學位（導師陳文源教授）
1997年畢業於蘭州大學數學系，獲博士學位（導師陳文源教授）
1999年從蘭州大學物理科學與技術學院博士後流動站出站，並開始在蘭州大學數學系工作
訪學經歷：
2001年在美國印第安納大學數學系訪問六個月
2003年在中國科學院數學與系統科學研究院套用數學研究所訪問六個月
2004年至2005年，在美國肯塔基大學數學系訪問一年
主講課程
數學分析，實變函式，泛函分析，分析選講，現代分析引論
學術成果
發表論文及專著 1.Zheng Jun, Zhao Peihao, A remark on Hausdorff measure in obstacle problems.
Z. Anal. Anwend. 31(4) , 427-439 (2012).
2.Liu Duchao, Zhao Peihao, Multiple nontrivial solutions to a $p$-Kirchhoff equation.
Nonlinear Anal. 75(13), 5032-5038 (2012).
3.Zhao Peihao, Zheng Jun, Remarks on Hausdorff measure and stability for the p-obstacle problem.
Proceedings Mathematical Sciences, 122(1),129-137 (2012)
4.Juanjuan Gao, Yong Zhang, Peihao Zhao, Existence of positive solutions for a class of semilinear and quasilinear elliptic equations with supercritical case, JMAA, 381, 215 – 228(2011).
5.Linzhao, Yuan He, Peihao Zhao, The existence of three positive solutions of a singular p-Laplacian problem, Nonlinear Anal. 74, 5745-5753(2011).
6.Lin Zhao, Peihao Zhao, Xiaoxia Xie, Existence and multiplicity of solutions for divergence type elliptic equations, EJDE, 43 (2011), 1-9.
7.Juanjuan Gao, Peihao Zhao, Yong Zhang, Compact Sobolev embedding theorems involving symmetry and its application, NoDEA, 17,161-180(2010).
8.趙培浩,劉舞龍,具有奇異性的周期橢圓運算元的絕對連續性,數學物理學報,30(1)A(2010),18-30.
9.Weihua Wang, Aibin Zang, Peihao Zhao, Multiplicity of solutions for a class of fourth elliptic equations, Nonlinear Anal.70, 4377-4385 (2009).
10.Xiaojuan Chai, Weisheng Niu, Peihao Zhao, The existence and non-existence of positive solutions to a singular quasilinear elliptic problem in , Nonlinear Anal.,71, 3257-3266(2009).
11.Xiuchao Song, Weihua Wang, Peihao Zhao, Positive solutions of elliptic equations with nonlinear boundary conditions, Nonlinear Anal.70, 328-334(2009).
12.Zhongwei Shen, Peihao Zhao, Uniform Sobolev inequalities and absolute continuity of periodic operators, Trans. Amer. Math. Soc., 360, 1741-1758(2008).
13.Jihong Zhao, Peihao Zhao, Existence of infinitely many weak solutions for the p-Laplacian with nonlinear boundary conditions, Nonlinear Anal. 69, 1343-1355(2008).
14.Wulong Liu, Peihao Zhao, Existence of positive solutions for p(x)-Laplacian equations in unbounded domains, Nonlinear Anal. 69, 3358-3371(2008).
15.Weihua Wang, Peihao Zhao, Nonuniformly nonlinear elliptic equations of p-biharmonic type, JMAA , 348, 730-738(2008).
16.Yong Zhang, Peihao Zhao, Existence and asymptotic behavior of entire blow-up solutions for quasilinear elliptic equation, Applicable Analysis, 86, 1455 – 1461(2007).
17.Jihong Zhao, Peihao Zhao, Infinitely many weak solutions for a p-Laplacian equation with nonlinear boundary conditions，Electron. J. Diff. Eqns., 2007(2007), No. 90, 1-14.
18.Peihao Zhao, Xiyin Wang, The existence of positive solution of elliptic system by a linking theorem on product space, Nonlinear Anal. 56, 227-240(2004).
19.Peihao Zhao, Chengkui Zhong, Positive solutions of elliptic equations involving both supercritical and sublinear growth, Houston J. of Math., 28, 649-663(2002).
20.Peihao Zhao, Wujie Zhou and Chengkui Zhong, The existence of three nontrivial solutions of a class of elliptic system, Nonlinear Anal. 49(3), 431-443(2002).
21.Peihao Zhao, Chengkui Zhong and Jiang Zhu, Positive solutions for a nonhomogeneous semilinear elliptic problem with supercritical exponent, JMAA , 254, 335-347(2001).
22.Peihao Zhao and Chengkui Zhong, On the infinitely many positive solutions of a supercritical elliptic problem, Nonl. Anal., 44(1), 123-139 (2001).
23.Chengkui Zhong, Jiang Zhu and Peihao Zhao, An extension of multi-valued contraction mappings and fixed points, Proc. AMS., 128(8),2439-2444(2000).
24.Chengkui Zhong, Peihao Zhao, Ke Shi, S1×S1-index theory on product space, Chin. Ann. Math. 20B (3), 363-368 (1999).
項目成果 主持國家自然科學基金項目（NSFC 10971088）.
榮譽獎項
1998 甘肅省科技進步二等獎（排名第三）
2007 甘肅省自然科學一等獎（排名第二）
