Zhang, Zhijun Two classes of nonlinear singular Dirichlet problems with natural growth: existence and asymptotic behavior. (English) Zbl 1436.35128 Adv. Nonlinear Stud. 20, No. 1, 77-93 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 35J25 35J75 35A01 35A02 PDFBibTeX XMLCite \textit{Z. Zhang}, Adv. Nonlinear Stud. 20, No. 1, 77--93 (2020; Zbl 1436.35128) Full Text: DOI
Zhang, Zhijun Optimal global asymptotic behavior of the solution to a singular Monge-Ampère equation. (English) Zbl 1433.35160 Commun. Pure Appl. Anal. 19, No. 2, 1129-1145 (2020). MSC: 35J96 35J75 35J25 35B40 PDFBibTeX XMLCite \textit{Z. Zhang}, Commun. Pure Appl. Anal. 19, No. 2, 1129--1145 (2020; Zbl 1433.35160) Full Text: DOI
Zhang, Zhijun Refined boundary behavior of the unique convex solution to a singular Dirichlet problem for the Monge-Ampère equation. (English) Zbl 1392.35175 Adv. Nonlinear Stud. 18, No. 2, 289-302 (2018). MSC: 35J96 35J25 PDFBibTeX XMLCite \textit{Z. Zhang}, Adv. Nonlinear Stud. 18, No. 2, 289--302 (2018; Zbl 1392.35175) Full Text: DOI
Li, Bo; Zhang, Zhijun Boundary behavior of solutions to a singular Dirichlet problem with a nonlinear convection. (English) Zbl 1315.35107 Electron. J. Differ. Equ. 2015, Paper No. 19, 18 p. (2015). MSC: 35J66 35J61 35B30 35J75 PDFBibTeX XMLCite \textit{B. Li} and \textit{Z. Zhang}, Electron. J. Differ. Equ. 2015, Paper No. 19, 18 p. (2015; Zbl 1315.35107) Full Text: EMIS
Li, Bo; Zhang, Zhijun Exact boundary behavior of solutions to singular nonlinear Dirichlet problems. (English) Zbl 1301.35045 Electron. J. Differ. Equ. 2014, Paper No. 183, 12 p. (2014). MSC: 35J66 35B05 35J25 60J50 PDFBibTeX XMLCite \textit{B. Li} and \textit{Z. Zhang}, Electron. J. Differ. Equ. 2014, Paper No. 183, 12 p. (2014; Zbl 1301.35045) Full Text: EMIS
Zhang, Zhijun The existence and boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms. (English) Zbl 1296.35067 Adv. Nonlinear Anal. 3, No. 3, 165-185 (2014). MSC: 35J61 35J15 35J25 PDFBibTeX XMLCite \textit{Z. Zhang}, Adv. Nonlinear Anal. 3, No. 3, 165--185 (2014; Zbl 1296.35067) Full Text: DOI
Zhang, Zhijun Large solutions of semilinear elliptic equations with a gradient term: existence and boundary behavior. (English) Zbl 1268.35041 Commun. Pure Appl. Anal. 12, No. 3, 1381-1392 (2013). MSC: 35J25 35J65 35J67 35J61 PDFBibTeX XMLCite \textit{Z. Zhang}, Commun. Pure Appl. Anal. 12, No. 3, 1381--1392 (2013; Zbl 1268.35041) Full Text: DOI
Zhang, Zhijun; Li, Bo The boundary behavior of the unique solution to a singular Dirichlet problem. (English) Zbl 1241.35086 J. Math. Anal. Appl. 391, No. 1, 278-290 (2012). MSC: 35J61 35J25 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{B. Li}, J. Math. Anal. Appl. 391, No. 1, 278--290 (2012; Zbl 1241.35086) Full Text: DOI
Zhang, Zhijun; Mi, Ling Blow-up rates of large solutions for semilinear elliptic equations. (English) Zbl 1233.35098 Commun. Pure Appl. Anal. 10, No. 6, 1733-1745 (2011). MSC: 35J61 35B44 35J25 35J65 35J67 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{L. Mi}, Commun. Pure Appl. Anal. 10, No. 6, 1733--1745 (2011; Zbl 1233.35098) Full Text: DOI
Zhang, Zhijun Positive solutions of Lane-Emden systems with negative exponents: existence, boundary behavior and uniqueness. (English) Zbl 1225.35109 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5544-5553 (2011). MSC: 35J75 35B09 35A01 35A02 35B30 PDFBibTeX XMLCite \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 16, 5544--5553 (2011; Zbl 1225.35109) Full Text: DOI
Zhang, Zhijun The second expansion of the solution for a singular elliptic boundary value problem. (English) Zbl 1221.35174 J. Math. Anal. Appl. 381, No. 2, 922-934 (2011). MSC: 35J75 35J67 35J25 35C20 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Math. Anal. Appl. 381, No. 2, 922--934 (2011; Zbl 1221.35174) Full Text: DOI
Zhang, Zhijun The second expansion of large solutions for semilinear elliptic equations. (English) Zbl 1217.35074 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3445-3457 (2011). MSC: 35J61 35J91 35J25 35B44 35C20 PDFBibTeX XMLCite \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 11, 3445--3457 (2011; Zbl 1217.35074) Full Text: DOI
Zhang, Zhijun; Shi, Yongxiu; Xue, Yanxing Existence of entire solutions for semilinear elliptic systems under the Keller-Osserman condition. (English) Zbl 1213.35203 Electron. J. Differ. Equ. 2011, Paper No. 39, 9 p. (2011). MSC: 35J47 35J57 35J61 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Electron. J. Differ. Equ. 2011, Paper No. 39, 9 p. (2011; Zbl 1213.35203) Full Text: EuDML EMIS
Zhang, Zhijun Boundary behavior of large solutions to semilinear elliptic equations with nonlinear gradient terms. (English) Zbl 1198.35077 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3348-3363 (2010). MSC: 35J25 35J61 35J67 PDFBibTeX XMLCite \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 73, No. 10, 3348--3363 (2010; Zbl 1198.35077) Full Text: DOI
Zhang, Zhijun; Li, Xiaohong; Zhao, Yuanzhang Boundary behavior of solutions to singular boundary value problems for nonlinear elliptic equations. (English) Zbl 1200.35162 Adv. Nonlinear Stud. 10, No. 2, 249-261 (2010). MSC: 35J75 35J25 35J60 35J67 35B20 35B51 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Adv. Nonlinear Stud. 10, No. 2, 249--261 (2010; Zbl 1200.35162)
Zhang, Zhijun; Ma, Yunjie; Mi, Ling; Li, Xiaohong Blow-up rates of large solutions for elliptic equations. (English) Zbl 1191.35137 J. Differ. Equations 249, No. 1, 180-199 (2010). MSC: 35J61 35J25 35J67 35C20 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Differ. Equations 249, No. 1, 180--199 (2010; Zbl 1191.35137) Full Text: DOI
Zhang, Zhijun Existence of entire positive solutions for a class of semilinear elliptic systems. (English) Zbl 1188.35067 Electron. J. Differ. Equ. 2010, Paper No. 16, 5 p. (2010). MSC: 35J47 35J61 35J57 35J50 35B09 PDFBibTeX XMLCite \textit{Z. Zhang}, Electron. J. Differ. Equ. 2010, Paper No. 16, 5 p. (2010; Zbl 1188.35067) Full Text: EuDML EMIS
Zhang, Zhijun; Guo, Yiming; Feng, Huabing Boundary behaviour of the unique solution to a singular Dirichlet problem with a convection term. (English) Zbl 1163.35022 J. Math. Anal. Appl. 352, No. 1, 77-84 (2009). MSC: 35J65 35J67 35J20 35B65 35B40 PDFBibTeX XMLCite \textit{Z. Zhang} et al., J. Math. Anal. Appl. 352, No. 1, 77--84 (2009; Zbl 1163.35022) Full Text: DOI
Zhang, Zhijun Boundary blow-up elliptic problems with nonlinear gradient terms and singular weights. (English) Zbl 1155.35378 Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 6, 1403-1424 (2008). MSC: 35J65 35J20 35B40 35J67 35B25 35B05 PDFBibTeX XMLCite \textit{Z. Zhang}, Proc. R. Soc. Edinb., Sect. A, Math. 138, No. 6, 1403--1424 (2008; Zbl 1155.35378) Full Text: DOI
Zhang, Zhijun Boundary behavior of solutions to some singular elliptic boundary value problems. (English) Zbl 1151.35032 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 7, 2293-2302 (2008). MSC: 35J60 35J65 35J67 PDFBibTeX XMLCite \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 69, No. 7, 2293--2302 (2008; Zbl 1151.35032) Full Text: DOI
Zhang, Zhijun Asymptotic behavior of the unique solution to a singular elliptic problem with nonlinear convection term and singular weight. (English) Zbl 1168.35370 Adv. Nonlinear Stud. 8, No. 2, 391-400 (2008). MSC: 35J65 35B40 35B05 35J20 PDFBibTeX XMLCite \textit{Z. Zhang}, Adv. Nonlinear Stud. 8, No. 2, 391--400 (2008; Zbl 1168.35370) Full Text: DOI
Zhang, Zhijun; Yu, Jianning The exact asymptotic behaviour of the unique solution to a singular nonlinear Dirichlet problem. (English) Zbl 1154.35356 J. Math. Anal. Appl. 329, No. 2, 1330-1342 (2007). MSC: 35J60 35B40 35J25 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Yu}, J. Math. Anal. Appl. 329, No. 2, 1330--1342 (2007; Zbl 1154.35356) Full Text: DOI
Zhang, Zhijun A remark on the existence of positive entire solutions of a sublinear elliptic problem. (English) Zbl 1143.35062 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 1, 147-153 (2007). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J65 35R05 35B05 35B25 35J20 PDFBibTeX XMLCite \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 67, No. 1, 147--153 (2007; Zbl 1143.35062) Full Text: DOI
Zhang, Zhijun The existence and asymptotic behaviour of the unique solution near the boundary to a singular Dirichlet problem with a convection term. (English) Zbl 1281.35040 Proc. R. Soc. Edinb., Sect. A, Math. 136, No. 1, 209-222 (2006). MSC: 35J60 35B40 35J25 PDFBibTeX XMLCite \textit{Z. Zhang}, Proc. R. Soc. Edinb., Sect. A, Math. 136, No. 1, 209--222 (2006; Zbl 1281.35040) Full Text: DOI
Zhang, Zhijun; Yu, Jianning The exact asymptotic behaviour of the unique solution to a singular Dirichlet problem. (English) Zbl 1136.35388 Bound. Value Probl. 2006, Article ID 75674, 10 p. (2006). MSC: 35J65 35B40 35J20 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Yu}, Bound. Value Probl. 2006, Article ID 75674, 10 p. (2006; Zbl 1136.35388) Full Text: DOI EuDML
Zhang, Zhijun Existence of large solutions for a semilinear elliptic problem via explosive sub- supersolutions. (English) Zbl 1284.35189 Electron. J. Differ. Equ. 2006, Paper No. 02, 8 p. (2006). MSC: 35J61 35B40 35J56 PDFBibTeX XMLCite \textit{Z. Zhang}, Electron. J. Differ. Equ. 2006, Paper No. 02, 8 p. (2006; Zbl 1284.35189) Full Text: EMIS
Zhang, Zhijun Asymptotic behavior of the unique classical solution to a singular Dirichlet problem with a convection term. (Chinese. English summary) Zbl 1217.35081 Chin. Ann. Math., Ser. A 26, No. 4, 463-468 (2005). MSC: 35J65 35B40 PDFBibTeX XMLCite \textit{Z. Zhang}, Chin. Ann. Math., Ser. A 26, No. 4, 463--468 (2005; Zbl 1217.35081)
Zhang, Zhijun A singular nonlinear Dirichlet problem. (English) Zbl 1109.35348 J. Yantai Univ., Nat. Sci. Eng. 17, No. 2, 79-87 (2004). MSC: 35J60 35J25 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Yantai Univ., Nat. Sci. Eng. 17, No. 2, 79--87 (2004; Zbl 1109.35348)
Zhang, Zhijun; Cheng, Jiangang Existence and optimal estimates of solutions for singular nonlinear Dirichlet problems. (English) Zbl 1096.35050 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 3, 473-484 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35B40 35J25 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Cheng}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 57, No. 3, 473--484 (2004; Zbl 1096.35050) Full Text: DOI
Zhang, Zhijun Existence and asymptotic behavior of explosive solutions for nonlinear elliptic problems with convection terms. (Chinese. English summary) Zbl 1290.35122 Chin. Ann. Math., Ser. A 23, No. 3, 395-406 (2002). MSC: 35J65 35B05 35Q75 35R05 PDFBibTeX XMLCite \textit{Z. Zhang}, Chin. Ann. Math., Ser. A 23, No. 3, 395--406 (2002; Zbl 1290.35122)
Zhang, Zhijun Optimal approximation of solutions to singular Dirichlet problems. (Chinese. English summary) Zbl 1021.35032 J. Yantai Univ., Nat. Sci. Eng. 15, No. 3, 157-160 (2002). MSC: 35J25 35J65 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Yantai Univ., Nat. Sci. Eng. 15, No. 3, 157--160 (2002; Zbl 1021.35032)
Zhang, Zhijun; Tao, Shuangping The existence and asymptotic behavior of explosive solutions for semilinear elliptic problems. (Chinese. English summary) Zbl 1064.35061 Acta Math. Sin. 45, No. 4, 693-700 (2002). Reviewer: Jiaqi Mo (Wuhu) MSC: 35J65 35B40 35B05 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{S. Tao}, Acta Math. Sin. 45, No. 4, 693--700 (2002; Zbl 1064.35061)
Tao, Shuangping; Zhang, Zhijun On the existence of explosive solutions for semilinear elliptic problems. (English) Zbl 1033.35040 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 7, 1043-1050 (2002). Reviewer: Zeng Yuesheng (Huaihua) MSC: 35J65 PDFBibTeX XMLCite \textit{S. Tao} and \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 48, No. 7, 1043--1050 (2002; Zbl 1033.35040) Full Text: DOI
Zhang, Zhijun; Yu, Jianning On a singular nonlinear Dirichlet problem with a convection term. (English) Zbl 0988.35059 SIAM J. Math. Anal. 32, No. 4, 916-927 (2000). Reviewer: L.P.Lebedev (Rostov-na-Donu) MSC: 35J65 35B05 35R05 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Yu}, SIAM J. Math. Anal. 32, No. 4, 916--927 (2000; Zbl 0988.35059) Full Text: DOI
Zhang, Zhijun A remark on the existence of explosive solutions for a class of semilinear elliptic equations. (English) Zbl 0964.35053 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 41, No. 1-2, 143-148 (2000). Reviewer: Gary M.Lieberman (Ames) MSC: 35J65 35B05 35A05 35J25 PDFBibTeX XMLCite \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 41, No. 1--2, 143--148 (2000; Zbl 0964.35053) Full Text: DOI
Zhang, Zhijun; Yu, Jianning On a Dirichlet problem for a class of singular semilinear elliptic equations. (Chinese. English summary) Zbl 1090.35531 Pure Appl. Math. 15, No. 3, 80-82, 79 (1999). MSC: 35J65 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Yu}, Pure Appl. Math. 15, No. 3, 80--82, 79 (1999; Zbl 1090.35531)
Yu, Janning; Zhang, Zhijun On the existence of explosive solutions for semilinear elliptic equations. (English) Zbl 1010.35049 Math. Appl. 12, No. 2, 4-8 (1999). MSC: 35J65 35B05 35R05 PDFBibTeX XMLCite \textit{J. Yu} and \textit{Z. Zhang}, Math. Appl. 12, No. 2, 4--8 (1999; Zbl 1010.35049)
Zhang, Zhijun; Ye, Guoju The existence of explosive solutions for a class of semilinear elliptic equations. (Chinese. English summary) Zbl 0986.35041 J. Lanzhou Univ., Nat. Sci. 35, No. 1, 7-10 (1999). MSC: 35J65 35A07 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{G. Ye}, J. Lanzhou Univ., Nat. Sci. 35, No. 1, 7--10 (1999; Zbl 0986.35041)
Zhang, Zhijun; Yu, Jianning; Li, Youwei On the existence and asymptotic behavior of explosive solutions for a class of semilinear elliptic equations. (Chinese. English summary) Zbl 0960.35038 Acta Math. Appl. Sin. 22, No. 4, 607-613 (1999). MSC: 35J65 35B40 35A05 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Acta Math. Appl. Sin. 22, No. 4, 607--613 (1999; Zbl 0960.35038)
Zhang, Zhijun; Xiao, Li Existence of solutions for a class of singular boundary value problems. (Chinese. English summary) Zbl 1054.35506 Adv. Math., Beijing 27, No. 3, 247-251 (1998). MSC: 35J70 35J65 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{L. Xiao}, Adv. Math., Beijing 27, No. 3, 247--251 (1998; Zbl 1054.35506)
Zhang, Zhijun; Yu, Jianning A class of quasilinear elliptic equations with singular boundary. (Chinese. English summary) Zbl 0928.35067 Pure Appl. Math. 14, No. 4, 17-20 (1998). MSC: 35J65 35B05 35R05 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{J. Yu}, Pure Appl. Math. 14, No. 4, 17--20 (1998; Zbl 0928.35067)
Zhang, Zhijun Nonlinear elliptic equations with singular boundary conditions. (English) Zbl 0891.35041 J. Math. Anal. Appl. 216, No. 2, 390-397 (1997). MSC: 35J65 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Math. Anal. Appl. 216, No. 2, 390--397 (1997; Zbl 0891.35041) Full Text: DOI
Zhang, Zhijun A remark on the existence of entire solutions of a singular semilinear elliptic problem. (English) Zbl 0891.35042 J. Math. Anal. Appl. 215, No. 2, 579-582 (1997). MSC: 35J65 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Math. Anal. Appl. 215, No. 2, 579--582 (1997; Zbl 0891.35042) Full Text: DOI
Zhang, Zhijun; Xiao, Li On the existence of solutions for a class of singular boundary value problem. (English) Zbl 0900.35126 Adv. Math., Beijing 26, No. 3, 280-281 (1997). MSC: 35J65 PDFBibTeX XMLCite \textit{Z. Zhang} and \textit{L. Xiao}, Adv. Math., Beijing 26, No. 3, 280--281 (1997; Zbl 0900.35126)
Zhang, Zhijun Nonexistence of positive classical solutions of a singular nonlinear Dirichlet problem with a convection term. (English) Zbl 0856.35048 Nonlinear Anal., Theory Methods Appl. 27, No. 8, 957-961 (1996). Reviewer: K.Pflüger (Berlin) MSC: 35J65 PDFBibTeX XMLCite \textit{Z. Zhang}, Nonlinear Anal., Theory Methods Appl. 27, No. 8, 957--961 (1996; Zbl 0856.35048) Full Text: DOI
Zhang, Zhijun On singular Dirichlet problems for semilinear elliptic equation of second order. II. (English) Zbl 0900.35152 Northeast. Math. J. 11, No. 1, 31-38 (1995). MSC: 35J70 35J65 35B65 PDFBibTeX XMLCite \textit{Z. Zhang}, Northeast. Math. J. 11, No. 1, 31--38 (1995; Zbl 0900.35152)
Zhang, Zhijun On a Dirichlet problem with a singular nonlinearity. (English) Zbl 0834.35054 J. Math. Anal. Appl. 194, No. 1, 103-113 (1995). Reviewer: M.Chicco (Genova) MSC: 35J65 35J70 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Math. Anal. Appl. 194, No. 1, 103--113 (1995; Zbl 0834.35054) Full Text: DOI
Zhang, Zhijun Singular Dirichlet problems for second order semilinear elliptic equations. (III). (Chinese. English summary) Zbl 0885.35039 J. Math. Res. Expo. 15, No. 3, 397-402 (1995). MSC: 35J65 35B65 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Math. Res. Expo. 15, No. 3, 397--402 (1995; Zbl 0885.35039)
Zhang, Zhijun On some existence theorems for a class of second order quasilinear elliptic equation. (Chinese. English summary) Zbl 0875.35036 J. Lanzhou Univ., Nat. Sci. 29, No. 4, 9-13 (1993). MSC: 35J65 PDFBibTeX XMLCite \textit{Z. Zhang}, J. Lanzhou Univ., Nat. Sci. 29, No. 4, 9--13 (1993; Zbl 0875.35036)