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Author ID: du.yihong Recent zbMATH articles by "Du, Yihong"
Published as: Du, Yihong; Du, Y.
Homepage: http://turing.une.edu.au/~ydu/
External Links: MGP · ResearchGate · dblp
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Serials

27 Journal of Differential Equations
12 SIAM Journal on Mathematical Analysis
7 Calculus of Variations and Partial Differential Equations
6 Differential and Integral Equations
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
5 Journal of Mathematical Analysis and Applications
5 Acta Mathematica Sinica
5 Journal de Mathématiques Pures et Appliquées. Neuvième Série
5 Discrete and Continuous Dynamical Systems
4 Bulletin of the Australian Mathematical Society
4 Journal d’Analyse Mathématique
4 Journal of Mathematical Biology
4 Journal of Functional Analysis
4 Proceedings of the American Mathematical Society
4 Discrete and Continuous Dynamical Systems. Series B
4 Nonlinear Analysis. Theory, Methods & Applications
3 Transactions of the American Mathematical Society
3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
3 Advances in Differential Equations
2 Applicable Analysis
2 Nonlinearity
2 Indiana University Mathematics Journal
2 Journal of the London Mathematical Society. Second Series
2 Journal of Mathematics. Wuhan University
2 Journal of Shandong University. Natural Science Edition
2 Journal of the European Mathematical Society (JEMS)
2 Advanced Nonlinear Studies
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 SN Partial Differential Equations and Applications
1 Archive for Rational Mechanics and Analysis
1 Journal of Mathematical Physics
1 Matimyás Matematika
1 Bulletin of the London Mathematical Society
1 Pacific Journal of Mathematics
1 Proceedings of the London Mathematical Society. Third Series
1 Journal of Systems Science and Mathematical Sciences
1 Northeastern Mathematical Journal
1 International Journal of Computer Mathematics
1 SIAM Journal on Applied Mathematics
1 Chinese Science Bulletin
1 Journal of Dynamics and Differential Equations
1 Topological Methods in Nonlinear Analysis
1 Methods and Applications of Analysis
1 Abstract and Applied Analysis
1 Taiwanese Journal of Mathematics
1 Mechanism and Machine Theory
1 Communications in Contemporary Mathematics
1 Communications on Pure and Applied Analysis
1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series
1 Networks and Heterogeneous Media
1 Discrete and Continuous Dynamical Systems. Series S
1 Bulletin of Mathematical Sciences
1 Journal of Theoretical Biology
1 Journal of Elliptic and Parabolic Equations
1 Electronic Research Archive

Publications by Year

Citations contained in zbMATH Open

147 Publications have been cited 4,019 times in 1,622 Documents Cited by Year
Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary. Zbl 1219.35373
Du, Yihong; Lin, Zhigui
241
2010
Spreading and vanishing in nonlinear diffusion problems with free boundaries. Zbl 1331.35399
Du, Yihong; Lou, Bendong
150
2015
Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194
Bunting, Gary; Du, Yihong; Krakowski, Krzysztof
133
2012
Blow-up solutions for a class of semilinear elliptic and parabolic equations. Zbl 0959.35065
Du, Yihong; Huang, Qingguang
124
1999
Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II. Zbl 1222.35096
Du, Yihong; Guo, Zongming
120
2011
Logistic type equations on \(\mathbb R^N\) by a squeezing method involving boundary blow-up solutions. Zbl 1018.35045
Du, Yihong; Ma, Li
111
2001
The diffusive competition model with a free boundary: invasion of a superior or inferior competitor. Zbl 1310.35245
Du, Yihong; Lin, Zhigui
100
2014
Effect of a protection zone in the diffusive Leslie predator-prey model. Zbl 1168.35444
Du, Yihong; Peng, Rui; Wang, Mingxin
97
2009
A diffusive predator-prey model in heterogeneous environment. Zbl 1330.35467
Du, Yihong; Hsu, Sze-Bi
96
2004
Sharp estimate of the spreading speed determined by nonlinear free boundary problems. Zbl 1296.35219
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
92
2014
A diffusive logistic model with a free boundary in time-periodic environment. Zbl 1282.35419
Du, Yihong; Guo, Zongming; Peng, Rui
89
2013
Some uniqueness and exact multiplicity results for a predator-prey model. Zbl 0965.35041
Du, Yihong; Lou, Yuan
82
1997
A diffusive predator-prey model with a protection zone. Zbl 1142.35022
Du, Yihong; Shi, Junping
82
2006
Convergence and sharp thresholds for propagation in nonlinear diffusion problems. Zbl 1207.35061
Du, Yihong; Matano, Hiroshi
81
2010
Order structure and topological methods in nonlinear partial differential equations. Vol. 1. Maximum principles and applications. Zbl 1202.35043
Du, Yihong
79
2006
The Stefan problem for the Fisher-KPP equation. Zbl 1257.35110
Du, Yihong; Guo, Zongming
79
2012
Allee effect and bistability in a spatially heterogeneous predator-prey model. Zbl 1189.35337
Du, Yihong; Shi, Junping
72
2007
Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation. Zbl 0980.35028
Du, Yihong; Lou, Yuan
68
2001
\(S\)-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model. Zbl 0970.35030
Du, Yihong; Lou, Yuan
65
1998
Boundary blow-up solutions and their applications in quasilinear elliptic equations. Zbl 1162.35028
Du, Yihong; Guo, Zongming
60
2003
Finite Morse index solutions of an elliptic equation with supercritical exponent. Zbl 1219.35102
Dancer, E. N.; Du, Yihong; Guo, Zongming
60
2011
Competing species equations with diffusion, large interactions, and jumping nonlinearities. Zbl 0815.35024
Dancer, E. N.; Du, Yihong
58
1994
Fixed points of increasing operators in ordered Banach spaces and applications. Zbl 0671.47054
Du, Yihong
57
1990
Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions. Zbl 1042.35016
Du, Yihong
54
2002
Effects of certain degeneracies in the predator-prey model. Zbl 1055.35046
Dancer, E. N.; Du, Yihong
53
2002
Semi-wave and spreading speed for the diffusive competition model with a free boundary. Zbl 1377.35136
Du, Yihong; Wang, Mingxin; Zhou, Maolin
53
2017
General uniqueness results and variation speed for blow-up solutions of elliptic equations. Zbl 1108.35068
Cîrstea, Florica Corina; Du, Yihong
52
2005
Positive solutions for a three-species competition system with diffusion I: General existence results. Zbl 0824.35033
Dancer, E. N.; Du, Yihong
51
1995
Effects of a degeneracy in the competition model. II: Perturbation and dynamical behaviour. Zbl 1042.35017
Du, Yihong
50
2002
Some recent results on diffusive predator-prey models in spatially heterogeneous environment. Zbl 1100.35041
Du, Yihong; Shi, Junping
48
2006
Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model. Zbl 1321.35263
Du, Yihong; Liang, Xing
46
2015
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
43
2010
Spreading speed and profile for nonlinear Stefan problems in high space dimensions. Zbl 1310.35060
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
41
2015
The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries. Zbl 1418.35229
Cao, Jia-Feng; Du, Yihong; Li, Fang; Li, Wan-Tong
36
2019
A diffusive competition model with a protection zone. Zbl 1138.35039
Du, Yihong; Liang, Xing
35
2008
Nonlinear diffusion problems with free boundaries: convergence, transition speed, and zero number arguments. Zbl 1321.35086
Du, Yihong; Lou, Bendong; Zhou, Maolin
34
2015
On sign-changing solutions of certain semilinear elliptic problems. Zbl 0835.35051
Dancer, E. N.; Du, Yihong
34
1995
Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero. Zbl 0819.35054
Dancer, E. N.; Du, Yihong
30
1994
Erratum to: “Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary”. Zbl 1275.35156
Du, Yihong; Lin, Zhigui
29
2013
Realization of prescribed patterns in the competition model. Zbl 1274.35137
Du, Yihong
28
2003
Qualitative analysis of a prey-predator model with stage structure for the predator. Zbl 1173.35710
Du, Yihong; Pang, Peter Y. H.; Wang, Mingxin
28
2008
On a nonlocal reaction-diffusion-advection equation modelling phytoplankton dynamics. Zbl 1223.35063
Du, Yihong; Mei, Linfeng
28
2011
Positive solutions of an elliptic equation with negative exponent: stability and critical power. Zbl 1163.35018
Du, Yihong; Guo, Zongming
27
2009
Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388
Du, Yihong; Li, Shujie
27
2005
Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102
Du, Yihong; Guo, Zongming
26
2013
Regularity and asymptotic behavior of nonlinear Stefan problems. Zbl 1293.35331
Du, Yihong; Matano, Hiroshi; Wang, Kelei
26
2014
Asymptotic behavior and uniqueness results for boundary blow-up solutions. Zbl 1150.35369
Du, Yihong
24
2004
Liouville type results and eventual flatness of positive solutions for \(p\)-Laplacian equations. Zbl 1075.35522
Du, Yihong; Guo, Zongming
24
2002
Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary. Zbl 1408.35227
Du, Yihong; Wei, Lei; Zhou, Ling
24
2018
Positive periodic solutions of a competitor-competitor-mutualist model. Zbl 0858.35057
Du, Yihong
23
1996
A note on multiple solutions of some semilinear elliptic problems. Zbl 0880.35046
Dancer, E. N.; Du, Yihong
23
1997
Asymptotic behaviour of positive steady states to a predator-prey model. Zbl 1293.35102
Du, Yihong; Wang, Mingxin
22
2006
Positive solutions with prescribed patterns in some simple semilinear equations. Zbl 1021.35035
Du, Yihong; Li, Shujie
21
2002
Proof of a conjecture for the perturbed Gelfand equation from combustion theory. Zbl 1098.35529
Du, Yihong; Lou, Yuan
21
2001
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
21
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
21
2008
Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation. Zbl 1410.35051
Zhang, Xuemei; Du, Yihong
21
2018
Finite Morse index solutions of weighted elliptic equations and the critical exponents. Zbl 1328.35028
Du, Yihong; Guo, Zongming
21
2015
Exact multiplicity and S-shaped bifurcation curve for some semilinear elliptic problems from combustion theory. Zbl 0974.35036
Du, Yihong
20
2000
Some remarks on Liouville type results for quasilinear elliptic equations. Zbl 1076.35038
Dancer, E. N.; Du, Yihong
19
2003
Locally uniform convergence to an equilibrium for nonlinear parabolic equations on \(\mathbb{R}^N\). Zbl 1336.35207
Du, Yihong; Poláčik, Peter
18
2015
The periodic logistic equation with spatial and temporal degeneracies. Zbl 1282.35061
Du, Yihong; Peng, Rui
18
2012
Positive solutions for a three-species competition system with diffusion. II: The case of equal birth rates. Zbl 0824.35034
Dancer, E. N.; Du, Yihong
18
1995
Traveling waves for a generalized Holling-Tanner predator-prey model. Zbl 1375.34070
Ai, Shangbing; Du, Yihong; Peng, Rui
18
2017
Spreading with two speeds and mass segregation in a diffusive competition system with free boundaries. Zbl 1396.35028
Du, Yihong; Wu, Chang-Hong
18
2018
Uniqueness and layer analysis for boundary blow up solutions. Zbl 1081.35032
Du, Yihong; Guo, Zongming
17
2004
Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model. Zbl 1360.35299
Lei, Chengxia; Du, Yihong
17
2017
Qualitative analysis of a cooperative reaction-diffusion system in a spatiotemporally degenerate environment. Zbl 1293.35138
Álvarez-Caudevilla, Pablo; Du, Yihong; Peng, Rui
16
2014
Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity. Zbl 1220.35046
Cîrstea, Florica Corina; Du, Yihong
16
2007
Monotonicity formula and \(\varepsilon\)-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions. Zbl 1302.35156
Du, Yihong; Guo, Zongming; Wang, Kelei
16
2014
Multiple solutions of some semilinear elliptic equations via the generalized Conley index. Zbl 0834.35049
Dancer, E. N.; Du, Yihong
16
1995
Spatial patterns for population models in a heterogeneous environment. Zbl 1097.92057
Du, Yihong
15
2004
Uniqueness, multiplicity and stability for positive solutions of a pair of reaction-diffusion equations. Zbl 0864.35035
Du, Yihong
15
1996
The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries. Zbl 1442.35486
Zhao, Meng; Zhang, Yang; Li, Wan-Tong; Du, Yihong
15
2020
Spreading in space-time periodic media governed by a monostable equation with free boundaries. I: Continuous initial functions. Zbl 1422.35102
Ding, Weiwei; Du, Yihong; Liang, Xing
15
2017
Positive solutions of an elliptic partial differential equation on \(\mathbb{R}^N\). Zbl 1007.35016
Du, Yihong; Ma, Li
14
2002
Boundary blow-up solutions with interior layers and spikes in a bistable problem. Zbl 1142.35036
Du, Yihong; Guo, Zongming; Zhou, Feng
14
2007
The degenerate logistic model and a singularly mixed boundary blow-up problem. Zbl 1194.35148
Du, Yihong; Guo, Zongming
13
2006
Large solutions of elliptic equations with a weakly superlinear nonlinearity. Zbl 1186.35059
Cîrstea, Florica Corina; Du, Yihong
12
2007
Isolated singularities for weighted quasilinear elliptic equations. Zbl 1192.35067
Cîrstea, Florica C.; Du, Yihong
12
2010
Bifurcation and monotonicity in competition reaction-diffusion systems. Zbl 0807.35041
Du, Yihong; Brown, K. J.
12
1994
Boundary blow up solutions with a spike layer. Zbl 1081.35018
Du, Yihong; Yan, Shusen
11
2004
The generalized Conley index and multiple solutions of semilinear elliptic problems. Zbl 0933.35069
Dancer, E. N.; Du, Yihong
11
1996
Analysis of a West Nile virus model with nonlocal diffusion and free boundaries. Zbl 1439.35220
Du, Yihong; Ni, Wenjie
11
2020
Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries. Zbl 1473.35665
Du, Yihong; Li, Fang; Zhou, Maolin
11
2021
On the long-time limit of positive solutions to the degenerate logistic equation. Zbl 1179.35073
Du, Yihong; Yamada, Yoshio
10
2009
Spreading speed for a West Nile virus model with free boundary. Zbl 1421.35391
Wang, Zhiguo; Nie, Hua; Du, Yihong
10
2019
Free boundary models for mosquito range movement driven by climate warming. Zbl 1402.35283
Bao, Wendi; Du, Yihong; Lin, Zhigui; Zhu, Huaiping
9
2018
Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation. Zbl 1439.35205
Du, Yihong; Peng, Rui
9
2013
Quasilinear elliptic equations on half- and quarter-spaces. Zbl 1278.35102
Dancer, E. N.; Du, Yihong; Efendiev, Messoud
9
2013
Bifurcation and related topics in elliptic problems. Zbl 1109.35014
Du, Yihong
8
2005
Symmetry for elliptic equations in a half-space without strong maximum principle. Zbl 1149.35349
Du, Yihong; Guo, Zongming
8
2004
On a free boundary problem arising from population biology. Zbl 1022.92025
Dancer, E. N.; Du, Yihong
8
2003
A free boundary problem for spreading under shifting climate. Zbl 1448.35584
Hu, Yuanyang; Hao, Xinan; Song, Xianfa; Du, Yihong
8
2020
Spreading in space-time periodic media governed by a monostable equation with free boundaries. II: Spreading speed. Zbl 1421.35191
Ding, Weiwei; Du, Yihong; Liang, Xing
8
2019
Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions. Zbl 1357.35126
Du, Yihong; Guo, Zongming
7
2006
Boundary behavior of positive solutions to nonlinear elliptic equations with Hardy potential. Zbl 1317.35074
Du, Yihong; Wei, Lei
7
2015
The parabolic logistic equation with blow-up initial and boundary values. Zbl 1308.35127
Du, Yihong; Peng, Rui; Poláçik, Peter
7
2012
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
7
2020
Remarks on the uniqueness problem for the logistic equation on the entire space. Zbl 1161.35351
Du, Yihong; Liu, Lishan
7
2006
Spreading speed for some cooperative systems with nonlocal diffusion and free boundaries. I: Semi-wave and a threshold condition. Zbl 1479.35191
Du, Yihong; Ni, Wenjie
6
2022
Two species nonlocal diffusion systems with free boundaries. Zbl 1483.35347
Du, Yihong; Wang, Mingxin; Zhao, Meng
5
2022
Classification of the spreading behaviors of a two-species diffusion-competition system with free boundaries. Zbl 1485.35432
Du, Yihong; Wu, Chang-Hong
1
2022
The high dimensional Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry. I. Zbl 07562637
Du, Yihong; Ni, Wenjie
1
2022
Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries. Zbl 1473.35665
Du, Yihong; Li, Fang; Zhou, Maolin
11
2021
Long-time dynamics of a diffusive epidemic model with free boundaries. Zbl 1466.35047
Wang, Rong; Du, Yihong
3
2021
Invasive behaviour under competition via a free boundary model: a numerical approach. Zbl 1477.35285
Khan, Kamruzzaman; Liu, Shuang; Schaerf, Timothy M.; Du, Yihong
2
2021
Spreading under shifting climate by a free boundary model: invasion of deteriorated environment. Zbl 1479.35963
Hu, Yuanyang; Hao, Xinan; Du, Yihong
2
2021
Semi-waves with \(\Lambda\)-shaped free boundary for nonlinear Stefan problems: existence. Zbl 1461.35249
Du, Yihong; Gui, Changfeng; Wang, Kelei; Zhou, Maolin
1
2021
The Stefan problem for the Fisher-KPP equation with unbounded initial range. Zbl 1462.35471
Ding, Weiwei; Du, Yihong; Guo, Zongming
1
2021
The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries. Zbl 1442.35486
Zhao, Meng; Zhang, Yang; Li, Wan-Tong; Du, Yihong
15
2020
Analysis of a West Nile virus model with nonlocal diffusion and free boundaries. Zbl 1439.35220
Du, Yihong; Ni, Wenjie
11
2020
A free boundary problem for spreading under shifting climate. Zbl 1448.35584
Hu, Yuanyang; Hao, Xinan; Song, Xianfa; Du, Yihong
8
2020
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
7
2020
The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries. Zbl 1460.35400
Zhao, Meng; Li, Wantong; Du, Yihong
5
2020
Logarithmic corrections in Fisher-KPP type porous medium equations. Zbl 1439.35238
Du, Yihong; Quirós, Fernando; Zhou, Maolin
2
2020
Numerical studies of a class of reaction-diffusion equations with Stefan conditions. Zbl 1480.65214
Liu, Shuang; Du, Yihong; Liu, Xinfeng
1
2020
The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries. Zbl 1418.35229
Cao, Jia-Feng; Du, Yihong; Li, Fang; Li, Wan-Tong
36
2019
Spreading speed for a West Nile virus model with free boundary. Zbl 1421.35391
Wang, Zhiguo; Nie, Hua; Du, Yihong
10
2019
Spreading in space-time periodic media governed by a monostable equation with free boundaries. II: Spreading speed. Zbl 1421.35191
Ding, Weiwei; Du, Yihong; Liang, Xing
8
2019
Revisiting the Fisher-Kolmogorov-Petrovsky-Piskunov equation to interpret the spreading-extinction dichotomy. Zbl 1472.35398
El-Hachem, Maud; Mccue, Scott W.; Jin, Wang; Du, Yihong; Simpson, Matthew J.
7
2019
Positive solutions of elliptic equations with a strong singular potential. Zbl 1432.35097
Wei, Lei; Du, Yihong
5
2019
Asymptotic spreading speed for the weak competition system with a free boundary. Zbl 1419.35257
Wang, Zhiguo; Nie, Hua; Du, Yihong
4
2019
The work of Norman Dancer. Zbl 1420.35001
Du, Yihong
1
2019
Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary. Zbl 1408.35227
Du, Yihong; Wei, Lei; Zhou, Ling
24
2018
Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation. Zbl 1410.35051
Zhang, Xuemei; Du, Yihong
21
2018
Spreading with two speeds and mass segregation in a diffusive competition system with free boundaries. Zbl 1396.35028
Du, Yihong; Wu, Chang-Hong
18
2018
Free boundary models for mosquito range movement driven by climate warming. Zbl 1402.35283
Bao, Wendi; Du, Yihong; Lin, Zhigui; Zhu, Huaiping
9
2018
Spreading of two competing species governed by a free boundary model in a shifting environment. Zbl 1390.35377
Lei, Chengxia; Nie, Hua; Dong, Wei; Du, Yihong
6
2018
Semi-wave and spreading speed for the diffusive competition model with a free boundary. Zbl 1377.35136
Du, Yihong; Wang, Mingxin; Zhou, Maolin
53
2017
Traveling waves for a generalized Holling-Tanner predator-prey model. Zbl 1375.34070
Ai, Shangbing; Du, Yihong; Peng, Rui
18
2017
Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model. Zbl 1360.35299
Lei, Chengxia; Du, Yihong
17
2017
Spreading in space-time periodic media governed by a monostable equation with free boundaries. I: Continuous initial functions. Zbl 1422.35102
Ding, Weiwei; Du, Yihong; Liang, Xing
15
2017
Exact singular behavior of positive solutions to nonlinear elliptic equations with a Hardy potential. Zbl 1372.35107
Wei, Lei; Du, Yihong
6
2017
Spreading and vanishing for nonlinear Stefan problems in high space dimensions. Zbl 1386.35022
Du, Yihong; Lou, Bendong; Zhou, Maolin
6
2016
Spreading and vanishing in nonlinear diffusion problems with free boundaries. Zbl 1331.35399
Du, Yihong; Lou, Bendong
150
2015
Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model. Zbl 1321.35263
Du, Yihong; Liang, Xing
46
2015
Spreading speed and profile for nonlinear Stefan problems in high space dimensions. Zbl 1310.35060
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
41
2015
Nonlinear diffusion problems with free boundaries: convergence, transition speed, and zero number arguments. Zbl 1321.35086
Du, Yihong; Lou, Bendong; Zhou, Maolin
34
2015
Finite Morse index solutions of weighted elliptic equations and the critical exponents. Zbl 1328.35028
Du, Yihong; Guo, Zongming
21
2015
Locally uniform convergence to an equilibrium for nonlinear parabolic equations on \(\mathbb{R}^N\). Zbl 1336.35207
Du, Yihong; Poláčik, Peter
18
2015
Boundary behavior of positive solutions to nonlinear elliptic equations with Hardy potential. Zbl 1317.35074
Du, Yihong; Wei, Lei
7
2015
Multiple steady-states in phytoplankton population induced by photoinhibition. Zbl 1330.92104
Du, Yihong; Hsu, Sze-Bi; Lou, Yuan
6
2015
The diffusive competition model with a free boundary: invasion of a superior or inferior competitor. Zbl 1310.35245
Du, Yihong; Lin, Zhigui
100
2014
Sharp estimate of the spreading speed determined by nonlinear free boundary problems. Zbl 1296.35219
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
92
2014
Regularity and asymptotic behavior of nonlinear Stefan problems. Zbl 1293.35331
Du, Yihong; Matano, Hiroshi; Wang, Kelei
26
2014
Qualitative analysis of a cooperative reaction-diffusion system in a spatiotemporally degenerate environment. Zbl 1293.35138
Álvarez-Caudevilla, Pablo; Du, Yihong; Peng, Rui
16
2014
Monotonicity formula and \(\varepsilon\)-regularity of stable solutions to supercritical problems and applications to finite Morse index solutions. Zbl 1302.35156
Du, Yihong; Guo, Zongming; Wang, Kelei
16
2014
A diffusive logistic model with a free boundary in time-periodic environment. Zbl 1282.35419
Du, Yihong; Guo, Zongming; Peng, Rui
89
2013
Erratum to: “Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary”. Zbl 1275.35156
Du, Yihong; Lin, Zhigui
29
2013
Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102
Du, Yihong; Guo, Zongming
26
2013
Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation. Zbl 1439.35205
Du, Yihong; Peng, Rui
9
2013
Quasilinear elliptic equations on half- and quarter-spaces. Zbl 1278.35102
Dancer, E. N.; Du, Yihong; Efendiev, Messoud
9
2013
Spreading profile and nonlinear Stefan problems. Zbl 1290.35343
Du, Yihong
3
2013
Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194
Bunting, Gary; Du, Yihong; Krakowski, Krzysztof
133
2012
The Stefan problem for the Fisher-KPP equation. Zbl 1257.35110
Du, Yihong; Guo, Zongming
79
2012
The periodic logistic equation with spatial and temporal degeneracies. Zbl 1282.35061
Du, Yihong; Peng, Rui
18
2012
The parabolic logistic equation with blow-up initial and boundary values. Zbl 1308.35127
Du, Yihong; Peng, Rui; Poláçik, Peter
7
2012
A Liouville theorem for conformal Gaussian curvature type equations in \({\mathbb{R}}^2\). Zbl 1235.35115
Du, Yihong; Ma, Li
1
2012
Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II. Zbl 1222.35096
Du, Yihong; Guo, Zongming
120
2011
Finite Morse index solutions of an elliptic equation with supercritical exponent. Zbl 1219.35102
Dancer, E. N.; Du, Yihong; Guo, Zongming
60
2011
On a nonlocal reaction-diffusion-advection equation modelling phytoplankton dynamics. Zbl 1223.35063
Du, Yihong; Mei, Linfeng
28
2011
Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary. Zbl 1219.35373
Du, Yihong; Lin, Zhigui
241
2010
Convergence and sharp thresholds for propagation in nonlinear diffusion problems. Zbl 1207.35061
Du, Yihong; Matano, Hiroshi
81
2010
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
43
2010
Isolated singularities for weighted quasilinear elliptic equations. Zbl 1192.35067
Cîrstea, Florica C.; Du, Yihong
12
2010
Effect of a protection zone in the diffusive Leslie predator-prey model. Zbl 1168.35444
Du, Yihong; Peng, Rui; Wang, Mingxin
97
2009
Positive solutions of an elliptic equation with negative exponent: stability and critical power. Zbl 1163.35018
Du, Yihong; Guo, Zongming
27
2009
On the long-time limit of positive solutions to the degenerate logistic equation. Zbl 1179.35073
Du, Yihong; Yamada, Yoshio
10
2009
Change of environment in model ecosystem: effect of a protection zone in diffusive population models. Zbl 1196.35124
Du, Yihong
2
2009
Corrigendum: “Boundary blow-up solutions and their applications in quasilinear elliptic equations”. Zbl 1179.35133
Du, Yihong; Guo, Zongming
1
2009
A diffusive competition model with a protection zone. Zbl 1138.35039
Du, Yihong; Liang, Xing
35
2008
Qualitative analysis of a prey-predator model with stage structure for the predator. Zbl 1173.35710
Du, Yihong; Pang, Peter Y. H.; Wang, Mingxin
28
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
21
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
21
2008
The heterogeneous Allen-Cahn equation in a ball: Solutions with layers and spikes. Zbl 1144.35017
Du, Yihong
6
2008
Sign changing solutions with clustered layers near the origin for singularly perturbed semilinear elliptic problems on a ball. Zbl 1175.35061
Du, Yihong; Liu, Zhaoli; Pistoia, Angela; Yan, Shusen
1
2008
Allee effect and bistability in a spatially heterogeneous predator-prey model. Zbl 1189.35337
Du, Yihong; Shi, Junping
72
2007
Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity. Zbl 1220.35046
Cîrstea, Florica Corina; Du, Yihong
16
2007
Boundary blow-up solutions with interior layers and spikes in a bistable problem. Zbl 1142.35036
Du, Yihong; Guo, Zongming; Zhou, Feng
14
2007
Large solutions of elliptic equations with a weakly superlinear nonlinearity. Zbl 1186.35059
Cîrstea, Florica Corina; Du, Yihong
12
2007
Morse index of layered solutions to the heterogeneous Allen-Cahn equation. Zbl 1121.35042
Du, Yihong; Nakashima, Kimie
6
2007
A diffusive predator-prey model with a protection zone. Zbl 1142.35022
Du, Yihong; Shi, Junping
82
2006
Order structure and topological methods in nonlinear partial differential equations. Vol. 1. Maximum principles and applications. Zbl 1202.35043
Du, Yihong
79
2006
Some recent results on diffusive predator-prey models in spatially heterogeneous environment. Zbl 1100.35041
Du, Yihong; Shi, Junping
48
2006
Asymptotic behaviour of positive steady states to a predator-prey model. Zbl 1293.35102
Du, Yihong; Wang, Mingxin
22
2006
The degenerate logistic model and a singularly mixed boundary blow-up problem. Zbl 1194.35148
Du, Yihong; Guo, Zongming
13
2006
Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions. Zbl 1357.35126
Du, Yihong; Guo, Zongming
7
2006
Remarks on the uniqueness problem for the logistic equation on the entire space. Zbl 1161.35351
Du, Yihong; Liu, Lishan
7
2006
A uniqueness theorem for a free boundary problem. Zbl 1168.35450
Dancer, E. N.; Du, Yihong
2
2006
General uniqueness results and variation speed for blow-up solutions of elliptic equations. Zbl 1108.35068
Cîrstea, Florica Corina; Du, Yihong
52
2005
Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388
Du, Yihong; Li, Shujie
27
2005
Bifurcation and related topics in elliptic problems. Zbl 1109.35014
Du, Yihong
8
2005
Multiple states and hysteresis for type I superconductors. Zbl 1110.82042
Du, Y.; Pan, X. B.
4
2005
A diffusive predator-prey model in heterogeneous environment. Zbl 1330.35467
Du, Yihong; Hsu, Sze-Bi
96
2004
Asymptotic behavior and uniqueness results for boundary blow-up solutions. Zbl 1150.35369
Du, Yihong
24
2004
Uniqueness and layer analysis for boundary blow up solutions. Zbl 1081.35032
Du, Yihong; Guo, Zongming
17
2004
Spatial patterns for population models in a heterogeneous environment. Zbl 1097.92057
Du, Yihong
15
2004
Boundary blow up solutions with a spike layer. Zbl 1081.35018
Du, Yihong; Yan, Shusen
11
2004
Symmetry for elliptic equations in a half-space without strong maximum principle. Zbl 1149.35349
Du, Yihong; Guo, Zongming
8
2004
...and 47 more Documents
all top 5

Cited by 1,456 Authors

88 Du, Yihong
67 Wang, Mingxin
42 Lin, Zhigui
39 Li, Wan-Tong
38 Peng, Rui
37 Shi, Junping
35 Wu, Jianhua
33 Guo, Zongming
22 Lou, Bendong
20 López-Gómez, Julián
20 Poláčik, Peter
19 Dancer, Edward Norman
19 Li, Shanbing
19 Zhang, Zhijun
18 García-Melián, Jorge
18 Nie, Hua
17 Lou, Yuan
17 Wei, Junjie
17 Zhou, Maolin
16 Wei, Lei
15 Ko, Wonlyul
15 Liu, Zuhan
14 Cîrstea, Florica-Corina Şt.
14 Lam, King-Yeung
14 Sun, Jianwen
14 Wang, Yuxia
13 Ahn, Inkyung
13 Dong, Yaying
13 Guo, Shangjiang
13 Mei, Linfeng
13 Zhou, Ling
12 Guo, Jong-Shenq
12 Lei, Chengxia
12 Liang, Xing
12 Zhang, Zhitao
12 Zhao, Meng
11 Cao, Jiafeng
11 Chen, Shanshan
11 Chen, Yujuan
11 Dong, Wei
11 Fu, Shengmao
11 Papageorgiou, Nikolaos S.
11 Zhao, Xiao-Qiang
11 Zhou, Jun
10 Feng, Meiqiang
10 Li, Yongxiang
10 Ma, Li
10 Wan, FangShu
10 Wang, Jinfeng
10 Wu, Changhong
9 Chen, Huyuan
9 Ducrot, Arnaud
9 Gu, Hong
9 Liu, Zhaoli
9 Ni, Wenjie
9 Ruan, Shigui
9 Ryu, Kimun
9 Simpson, Matthew J.
9 Suárez, Antonio
9 Wang, Kelei
9 Zhang, Shan
9 Zhang, Xuemei
8 Cui, Renhao
8 Giletti, Thomas
8 Guo, Gaihui
8 Hamel, François
8 Hsu, Szebi
8 Huang, Shuibo
8 Li, Yanling
8 Liu, Lishan
8 Liu, Shuang
8 Matano, Hiroshi
8 Mi, Ling
8 Mu, Chunlai
8 Sun, Ningkui
8 Wang, Feng-Bin
8 Wang, Jiabing
8 Yamada, Yoshio
8 Yang, Feiying
8 Zhang, Zhengce
8 Zheng, Sining
8 Zhu, Min
7 Cai, Jingjing
7 Chen, Pengyu
7 Ding, Weiwei
7 Farina, Alberto
7 Jia, Yunfeng
7 Kaneko, Yuki
7 Maire, Luis
7 Matsuzawa, Hiroshi
7 Mohammed, Ahmed
7 Rădulescu, Vicenţiu D.
7 Rossi, Julio Daniel
7 Tian, Qiaoyu
7 Wan, Haitao
7 Wang, Zhi-Qiang
7 Xu, Xian
7 Zeng, Xianzhong
7 Zhang, Jimin
7 Zhou, Feng
...and 1,356 more Authors
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Cited in 217 Serials

173 Journal of Differential Equations
148 Journal of Mathematical Analysis and Applications
103 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
83 Nonlinear Analysis. Real World Applications
70 Discrete and Continuous Dynamical Systems. Series B
40 Discrete and Continuous Dynamical Systems
39 Calculus of Variations and Partial Differential Equations
35 ZAMP. Zeitschrift für angewandte Mathematik und Physik
29 Boundary Value Problems
28 Journal of Functional Analysis
27 Computers & Mathematics with Applications
24 Journal of Mathematical Biology
24 Applied Mathematics Letters
24 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
24 Communications on Pure and Applied Analysis
23 Applied Mathematics and Computation
21 Journal of Dynamics and Differential Equations
20 Applicable Analysis
18 Proceedings of the American Mathematical Society
18 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
16 Acta Mathematica Sinica. English Series
15 Transactions of the American Mathematical Society
15 Journal de Mathématiques Pures et Appliquées. Neuvième Série
15 Science China. Mathematics
14 Acta Applicandae Mathematicae
12 Nonlinearity
12 SIAM Journal on Mathematical Analysis
12 Advances in Difference Equations
12 International Journal of Biomathematics
11 Applied Mathematical Modelling
11 Abstract and Applied Analysis
11 Communications in Contemporary Mathematics
10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
10 SIAM Journal on Applied Mathematics
10 Advanced Nonlinear Studies
10 Mathematical Biosciences and Engineering
10 Complex Variables and Elliptic Equations
9 Archive for Rational Mechanics and Analysis
9 Bulletin of the Australian Mathematical Society
9 Bulletin of Mathematical Biology
9 NoDEA. Nonlinear Differential Equations and Applications
9 Advances in Nonlinear Analysis
8 Mathematical Methods in the Applied Sciences
8 Communications in Partial Differential Equations
8 Nonlinear Dynamics
8 Journal of Inequalities and Applications
8 Acta Mathematica Scientia. Series B. (English Edition)
8 Nonlinear Analysis. Theory, Methods & Applications
8 Electronic Research Archive
7 Journal of Nonlinear Science
7 Electronic Journal of Differential Equations (EJDE)
7 Communications in Nonlinear Science and Numerical Simulation
7 Discrete and Continuous Dynamical Systems. Series S
6 Physica D
6 Acta Mathematicae Applicatae Sinica. English Series
6 Journal of Fixed Point Theory and Applications
5 Journal d’Analyse Mathématique
5 Rocky Mountain Journal of Mathematics
5 Journal of Computational and Applied Mathematics
5 Science in China. Series A
5 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Chaos, Solitons and Fractals
4 Chinese Annals of Mathematics. Series B
4 Mathematical and Computer Modelling
4 European Journal of Applied Mathematics
4 Topological Methods in Nonlinear Analysis
4 Journal of Evolution Equations
4 Journal of Applied Mathematics
4 Mediterranean Journal of Mathematics
4 Fixed Point Theory and Applications
4 Journal of Applied Analysis and Computation
3 Communications in Mathematical Physics
3 Mathematical Biosciences
3 Mathematical Notes
3 Advances in Mathematics
3 Journal of Economic Theory
3 Manuscripta Mathematica
3 Mathematische Nachrichten
3 Memoirs of the American Mathematical Society
3 Proceedings of the Edinburgh Mathematical Society. Series II
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Applied Mathematics. Series B (English Edition)
3 Journal of Mathematical Sciences (New York)
3 Positivity
3 Journal of Applied Mathematics and Computing
3 Frontiers of Mathematics in China
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 AIMS Mathematics
3 SN Partial Differential Equations and Applications
2 Indian Journal of Pure & Applied Mathematics
2 Israel Journal of Mathematics
2 Journal of Mathematical Physics
2 Journal of Statistical Physics
2 Physica A
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Automatica
2 Journal of the Korean Mathematical Society
2 Mathematische Annalen
2 Mathematica Slovaca
2 Numerical Functional Analysis and Optimization
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