1. 具非线性梯度项的Monge-Ampere方程的大解, 国家自然科学基金面上项目, 批准号:11571295, 2016/01-2019/12, 负责人 2. 解在边界blow-up的非线性椭圆型问题, 国家自然科学基金面上项目, 批准号: 10671169, 2007/01-2009/12, 负责人; 3. 非线性椭圆型问题的爆炸解, 国家自然科学基金面上项目, 批准号: 10071066, 2001.1-2003.12, 负责人. |
10篇代表性论文 1. Zhijun Zhang, Optimal global and boundary asymptotic behavior of large solutions to the Monge-Ampere equation, J. Functional Anal., 2020, 278, 108512, 41pp. 2. Zhijun Zhang, Large solutions to the Monge-Ampere equations with nonlinear gradient terms: Existence and boundary behavior, J. Diff. Equations, 2018, 264: 263-296. 3. Zhijun Zhang, Boundary behavior of large solutions to the Monge-Ampere equations with weights, J. Diff. Equations, 2015, 259: 2080-2100. 4. Zhijun Zhang, Yunjie Ma, Ling Mi, Xiaohong Li, Blow-up rates of large solutions for elliptic equations, J. Diff. Equations, 2010, 249: 180-199. 5. Zhijun Zhang, Boundary blow-up elliptic problems with nonlinear gradient terms, J. Diff. Equations, 2006, 228: 661-684. 6. Zhijun Zhang, Jianning Yu, On a singular nonlinear Dirichlet problem with a convection term, SIAM J. Math. Anal., 2000, 32: 916-927. 7. Zhijun Zhang, Exact boundary behavior of large solutions to semilinear elliptic equations with a nonlinear gradient term, Science China Math., 2020, 63: 559-574. 8. Zhijun Zhang, Optimal global asymptotic behavior of the solution to a class of singular Dirichlet problems, Proc. Roy. Soc. Edinb. Math. A., 2021, 151:1116 - 1134. 9. Zhijun Zhang, Boundary blow-up elliptic problems with nonlinear gradient terms and singular weights, Proc. Roy. Soc. Edinb.Math. A., 2008, 138: 1403-1424. 10. Zhijun Zhang, The existence and asymptotical behaviour of the unique solution near the boundary to a singular Dirichlet problem with a convection term, Proc. Roy. Soc. Edinb. Math. A., 2006, 136:209-222. |