教育及工作背景： 1980年毕业于甘肃省宁县和盛中学 1984年毕业于兰州大学数学力学系数学专业，获学士学位 1990年毕业于兰州大学数学系基础数学专业，获硕士学位（导师陈文源教授） 1997年毕业于兰州大学数学系，获博士学位（导师陈文源教授） 1999年从兰州大学物理科学与技术学院博士后流动站出站，并开始在兰州大学数学系工作 访学经历： 2001年在美国印第安纳大学数学系访问六个月 2003年在中国科学院数学与系统科学研究院应用数学研究所访问六个月 2004年至2005年，在美国肯塔基大学数学系访问一年 主要研究成果： 解决了Brezis等著名国际数学家于1994年提出的一个公开问题；提出了乘积空间上的环绕定理；证明了一致Sobolev不等式；给出了具有某种对称性的区域上的新的Sobolev紧嵌入定理。在Transactions of AMS, Proceedings of AMS, Nonlinear differential equations and it’s applications(NoDEA), Journal of Mathematical Analysis and Applications, Nonlinear Analysis: TMA, Houston Journal of Math.等国际著名数学刊物上发表研究论文30余篇.研究成果于1998年获得甘肃省科技进步二等奖（排名第三），2007年获得甘肃省自然科学一等奖（排名第二）.现主持国家自然科学基金项目（NSFC 10971088）。
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.赵培浩,刘舞龙,具有奇异性的周期椭圆算子的绝对连续性,数学物理学报,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).
作者:赵培浩
