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Peihao Zhao

Professor of Institute of Basic Mathematics.

Email:zhaoph@lzu.edu.cn

Ph.D.Lanzhou University, 1997, Mathematics

Biography

Social experience

  • Teaching and guiding the situation of graduate students

  • Project results

  • Research interests

    Publications

  • 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).
  • Honor and Award

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