(1)2012.1-2015.12,带有奇性或退化的椭圆或抛物方程的若干前沿问题的研究,(国家自然科学基金面上项目11171092),参加, (2)2013.01-2015.12,基于自适应支持向量机的微阵列分类与群体基因选择研究(国家青年基金11771125),参加 (3)2014.01-2017.12,反应扩散方程组的自由边界问题(国家自然科学基金面上项目11371113),参加 (4)2016.01- 2019.12几类椭圆型方程(组)的解的结构和性质(国家基金面上项目11571093),参加 (5)2018.01-2021.12非线性分析在若干椭圆方程和种群模型中的应用(国家基金面上项目11771125),参加 (6)2018.01-2020.12生态学中自由边界问题的研究,(河南省高等学校重点科研项目18A110024),主持
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(1)Yonggang Zhao, Regularity and Symmetry for Solutions to a System of Weighted Integral Equations, J. Math. Anal. Appl., 391(2012), 209-222. (2)K.Q. Li, S.J. Wang, Yonggang Zhao, Multiple periodic solutions for asymptotically linear Duffing equations with resonance (II), J. Math. Anal. Appl., 397 (2013),156-160. (3) Yonggang Zhao, M.X. Wang, An Integral Equation Involving Bessel Potentials on Half Space,Commun. Pure Appl. Anal.,14(2015), 527-548. (4) M.X. Wang, Yonggang Zhao, A Similinear Parabolic System with a Free Boundary, Z. Angew. Math. Phys., 66(2015), 3309-3332. (5) Yonggang Zhao, M.X. Wang, Free Boundary Problems for the Diffusive Competition System in Higher Dimension with Sign-Changing Coefficients, IMA J. Appl. Math., 81(2016), 255-280. (6) Yongang Zhao, M.X. Wang, Asymptotic Behavior of Solutions to a Nonlinear Stefan Problem with Different Moving Parameters, Nonlinear Anal. Real World Appl., 31(2016), 166-178. (7) Yonggang Zhao, M.X. Wang, A Reaction-diffusion-advection Equation with Mixed and Free Boundary Conditions, J. Dynam. Differential Equations, 30(2018)(2), 743-777. (8) Yonggang Zhao, J. Li, Qualitative properties of positive solutions to fractional p-Laplacian equations in an unbounded parabolic domain, J. Nonlinear Convex Anal. , 20 (2019), 25–37. (9) Z.M. Guo, X.H. Guang, Yonggang Zhao*, Uniqueness and asymptotic behavior of solutions of a biharmonic equation with supercritical exponent, Discrete Contin. Dyn. Syst., 39 (2019), 2613–2636.
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