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## Du, Yihong

Compute Distance To:
 Author ID: du.yihong Published as: Du, Yihong; Du, Y.; Du, Y. H. Homepage: http://turing.une.edu.au/~ydu/ External Links: MGP · ResearchGate · dblp
 Documents Indexed: 155 Publications since 1986, including 2 Books
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#### Co-Authors

 38 single-authored 17 Guo, Zongming 15 Dancer, Edward Norman 8 Peng, Rui 8 Zhou, Maolin 6 Hsu, Szebi 5 Lou, Yuan 5 Ma, Li 4 Cîrstea, Florica-Corina Şt. 4 Liang, Xing 4 Lin, Zhigui 4 Lou, Bendong 4 Wang, Mingxin 4 Wei, Lei 3 Ding, Weiwei 3 Li, Wan-Tong 3 Nie, Hua 3 Shi, Junping 3 Wang, Kelei 2 Dong, Wei 2 Lei, Chengxia 2 Li, Shujie 2 Liu, Zhaoli 2 Matano, Hiroshi 2 Matsuzawa, Hiroshi 2 Pan, Xingbin 2 Poláčik, Peter 2 Wang, Zhiguo 2 Yan, Shusen 2 Zhao, Meng 1 Ai, Shangbing 1 Al-Jumaily, Ahmed M. 1 Álvarez-Caudevilla, Pablo 1 Bao, Wendi 1 Brown, Kenneth J. 1 Bunting, Gary L. 1 Cao, Jia-Feng 1 Efendiev, Messoud 1 Gui, Changfeng 1 Guo, Yuxia 1 Hao, Xin’an 1 Hu, Yuanyang 1 Huang, Qingguang 1 Ishii, Hitoshi 1 Krakowski, Krzysztof Andrzej 1 Lin, Wei-Yueh 1 Liu, Lishan 1 Mei, Linfeng 1 Nakashima, Kimie 1 Ni, Wenjie 1 Ouyang, Tiancheng 1 Pang, Peter Y. H. 1 Pistoia, Angela 1 Quirós Gracián, Fernando 1 Song, Xianfa 1 Sun, Jinxian 1 Tsai, Je-Chiang 1 Wang, Feng-Bin 1 Wang, Rong 1 Wu, Changhong 1 Yamada, Yoshio 1 Zhang, Xuemei 1 Zhang, Zhitao 1 Zhao, Xiao-Qiang 1 Zhou, Feng 1 Zhou, Ling 1 Zhu, Huaiping
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#### Serials

 25 Journal of Differential Equations 11 SIAM Journal on Mathematical Analysis 6 Differential and Integral Equations 6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 6 Calculus of Variations and Partial Differential Equations 5 Journal of Mathematical Analysis and Applications 5 Acta Mathematica Sinica 4 Bulletin of the Australian Mathematical Society 4 Journal d’Analyse Mathématique 4 Journal of Functional Analysis 4 Proceedings of the American Mathematical Society 4 Journal de Mathématiques Pures et Appliquées. Neuvième Série 4 Discrete and Continuous Dynamical Systems 4 Discrete and Continuous Dynamical Systems. Series B 4 Nonlinear Analysis. Theory, Methods & Applications 3 Journal of Mathematical Biology 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 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 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 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 Journal of Theoretical Biology 1 Journal of Elliptic and Parabolic Equations 1 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
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#### Fields

 133 Partial differential equations (35-XX) 50 Biology and other natural sciences (92-XX) 23 Operator theory (47-XX) 11 Global analysis, analysis on manifolds (58-XX) 7 Ordinary differential equations (34-XX) 5 Integral equations (45-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 History and biography (01-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Fluid mechanics (76-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Differential geometry (53-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

133 Publications have been cited 3,358 times in 1,389 Documents Cited by Year
Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary. Zbl 1219.35373
Du, Yihong; Lin, Zhigui
2010
Spreading and vanishing in nonlinear diffusion problems with free boundaries. Zbl 1331.35399
Du, Yihong; Lou, Bendong
2015
Blow-up solutions for a class of semilinear elliptic and parabolic equations. Zbl 0959.35065
Du, Yihong; Huang, Qingguang
1999
Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194
Bunting, Gary; Du, Yihong; Krakowski, Krzysztof
2012
Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II. Zbl 1222.35096
Du, Yihong; Guo, Zongming
2011
Logistic type equations on $$\mathbb R^N$$ by a squeezing method involving boundary blow-up solutions. Zbl 1018.35045
Du, Yihong; Ma, Li
2001
A diffusive predator-prey model in heterogeneous environment. Zbl 1330.35467
Du, Yihong; Hsu, Sze-Bi
2004
The diffusive competition model with a free boundary: invasion of a superior or inferior competitor. Zbl 1310.35245
Du, Yihong; Lin, Zhigui
2014
Some uniqueness and exact multiplicity results for a predator-prey model. Zbl 0965.35041
Du, Yihong; Lou, Yuan
1997
Sharp estimate of the spreading speed determined by nonlinear free boundary problems. Zbl 1296.35219
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
2014
A diffusive logistic model with a free boundary in time-periodic environment. Zbl 1282.35419
Du, Yihong; Guo, Zongming; Peng, Rui
2013
Effect of a protection zone in the diffusive Leslie predator-prey model. Zbl 1168.35444
Du, Yihong; Peng, Rui; Wang, Mingxin
2009
Order structure and topological methods in nonlinear partial differential equations. Vol. 1. Maximum principles and applications. Zbl 1202.35043
Du, Yihong
2006
Convergence and sharp thresholds for propagation in nonlinear diffusion problems. Zbl 1207.35061
Du, Yihong; Matano, Hiroshi
2010
A diffusive predator-prey model with a protection zone. Zbl 1142.35022
Du, Yihong; Shi, Junping
2006
$$S$$-shaped global bifurcation curve and Hopf bifurcation of positive solutions to a predator-prey model. Zbl 0970.35030
Du, Yihong; Lou, Yuan
1998
Qualitative behaviour of positive solutions of a predator-prey model: Effects of saturation. Zbl 0980.35028
Du, Yihong; Lou, Yuan
2001
The Stefan problem for the Fisher-KPP equation. Zbl 1257.35110
Du, Yihong; Guo, Zongming
2012
Allee effect and bistability in a spatially heterogeneous predator-prey model. Zbl 1189.35337
Du, Yihong; Shi, Junping
2007
Boundary blow-up solutions and their applications in quasilinear elliptic equations. Zbl 1162.35028
Du, Yihong; Guo, Zongming
2003
Competing species equations with diffusion, large interactions, and jumping nonlinearities. Zbl 0815.35024
Dancer, E. N.; Du, Yihong
1994
General uniqueness results and variation speed for blow-up solutions of elliptic equations. Zbl 1108.35068
Cîrstea, Florica Corina; Du, Yihong
2005
Fixed points of increasing operators in ordered Banach spaces and applications. Zbl 0671.47054
Du, Yihong
1990
Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions. Zbl 1042.35016
Du, Yihong
2002
Positive solutions for a three-species competition system with diffusion I: General existence results. Zbl 0824.35033
Dancer, E. N.; Du, Yihong
1995
Effects of certain degeneracies in the predator-prey model. Zbl 1055.35046
Dancer, E. N.; Du, Yihong
2002
Finite Morse index solutions of an elliptic equation with supercritical exponent. Zbl 1219.35102
Dancer, E. N.; Du, Yihong; Guo, Zongming
2011
Effects of a degeneracy in the competition model. II: Perturbation and dynamical behaviour. Zbl 1042.35017
Du, Yihong
2002
Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model. Zbl 1321.35263
Du, Yihong; Liang, Xing
2015
Some recent results on diffusive predator-prey models in spatially heterogeneous environment. Zbl 1100.35041
Du, Yihong; Shi, Junping
2006
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
2010
Semi-wave and spreading speed for the diffusive competition model with a free boundary. Zbl 1377.35136
Du, Yihong; Wang, Mingxin; Zhou, Maolin
2017
Spreading speed and profile for nonlinear Stefan problems in high space dimensions. Zbl 1310.35060
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
2015
On sign-changing solutions of certain semilinear elliptic problems. Zbl 0835.35051
Dancer, E. N.; Du, Yihong
1995
A diffusive competition model with a protection zone. Zbl 1138.35039
Du, Yihong; Liang, Xing
2008
Existence of changing sign solutions for some semilinear problems with jumping nonlinearities at zero. Zbl 0819.35054
Dancer, E. N.; Du, Yihong
1994
Nonlinear diffusion problems with free boundaries: convergence, transition speed, and zero number arguments. Zbl 1321.35086
Du, Yihong; Lou, Bendong; Zhou, Maolin
2015
Realization of prescribed patterns in the competition model. Zbl 1274.35137
Du, Yihong
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
2008
Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388
Du, Yihong; Li, Shujie
2005
Liouville type results and eventual flatness of positive solutions for $$p$$-Laplacian equations. Zbl 1075.35522
Du, Yihong; Guo, Zongming
2002
Erratum to: “Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary”. Zbl 1275.35156
Du, Yihong; Lin, Zhigui
2013
Positive periodic solutions of a competitor-competitor-mutualist model. Zbl 0858.35057
Du, Yihong
1996
A note on multiple solutions of some semilinear elliptic problems. Zbl 0880.35046
Dancer, E. N.; Du, Yihong
1997
Asymptotic behavior and uniqueness results for boundary blow-up solutions. Zbl 1150.35369
Du, Yihong
2004
On a nonlocal reaction-diffusion-advection equation modelling phytoplankton dynamics. Zbl 1223.35063
Du, Yihong; Mei, Linfeng
2011
Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102
Du, Yihong; Guo, Zongming
2013
Proof of a conjecture for the perturbed Gelfand equation from combustion theory. Zbl 1098.35529
Du, Yihong; Lou, Yuan
2001
Positive solutions of an elliptic equation with negative exponent: stability and critical power. Zbl 1163.35018
Du, Yihong; Guo, Zongming
2009
Positive solutions with prescribed patterns in some simple semilinear equations. Zbl 1021.35035
Du, Yihong; Li, Shujie
2002
Asymptotic behaviour of positive steady states to a predator-prey model. Zbl 1293.35102
Du, Yihong; Wang, Mingxin
2006
Exact multiplicity and S-shaped bifurcation curve for some semilinear elliptic problems from combustion theory. Zbl 0974.35036
Du, Yihong
2000
Regularity and asymptotic behavior of nonlinear Stefan problems. Zbl 1293.35331
Du, Yihong; Matano, Hiroshi; Wang, Kelei
2014
Some remarks on Liouville type results for quasilinear elliptic equations. Zbl 1076.35038
Dancer, E. N.; Du, Yihong
2003
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
1995
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
2019
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
2008
Multiple solutions of some semilinear elliptic equations via the generalized Conley index. Zbl 0834.35049
Dancer, E. N.; Du, Yihong
1995
Uniqueness and layer analysis for boundary blow up solutions. Zbl 1081.35032
Du, Yihong; Guo, Zongming
2004
Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation. Zbl 1410.35051
Zhang, Xuemei; Du, Yihong
2018
Uniqueness, multiplicity and stability for positive solutions of a pair of reaction-diffusion equations. Zbl 0864.35035
Du, Yihong
1996
Finite Morse index solutions of weighted elliptic equations and the critical exponents. Zbl 1328.35028
Du, Yihong; Guo, Zongming
2015
Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity. Zbl 1220.35046
Cîrstea, Florica Corina; Du, Yihong
2007
Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary. Zbl 1408.35227
Du, Yihong; Wei, Lei; Zhou, Ling
2018
The degenerate logistic model and a singularly mixed boundary blow-up problem. Zbl 1194.35148
Du, Yihong; Guo, Zongming
2006
Positive solutions of an elliptic partial differential equation on $$\mathbb{R}^N$$. Zbl 1007.35016
Du, Yihong; Ma, Li
2002
The periodic logistic equation with spatial and temporal degeneracies. Zbl 1282.35061
Du, Yihong; Peng, Rui
2012
Boundary blow-up solutions with interior layers and spikes in a bistable problem. Zbl 1142.35036
Du, Yihong; Guo, Zongming; Zhou, Feng
2007
Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $$\mathbb{R}^N$$. Zbl 1336.35207
Du, Yihong; Poláčik, Peter
2015
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
2017
Bifurcation and monotonicity in competition reaction-diffusion systems. Zbl 0807.35041
Du, Yihong; Brown, K. J.
1994
Spatial patterns for population models in a heterogeneous environment. Zbl 1097.92057
Du, Yihong
2004
Qualitative analysis of a cooperative reaction-diffusion system in a spatiotemporally degenerate environment. Zbl 1293.35138
Álvarez-Caudevilla, Pablo; Du, Yihong; Peng, Rui
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
2014
Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model. Zbl 1360.35299
Lei, Chengxia; Du, Yihong
2017
Isolated singularities for weighted quasilinear elliptic equations. Zbl 1192.35067
Cîrstea, Florica C.; Du, Yihong
2010
The generalized Conley index and multiple solutions of semilinear elliptic problems. Zbl 0933.35069
Dancer, E. N.; Du, Yihong
1996
Boundary blow up solutions with a spike layer. Zbl 1081.35018
Du, Yihong; Yan, Shusen
2004
Large solutions of elliptic equations with a weakly superlinear nonlinearity. Zbl 1186.35059
Cîrstea, Florica Corina; Du, Yihong
2007
Spreading with two speeds and mass segregation in a diffusive competition system with free boundaries. Zbl 1396.35028
Du, Yihong; Wu, Chang-Hong
2018
On the long-time limit of positive solutions to the degenerate logistic equation. Zbl 1179.35073
Du, Yihong; Yamada, Yoshio
2009
On a free boundary problem arising from population biology. Zbl 1022.92025
Dancer, E. N.; Du, Yihong
2003
Bifurcation and related topics in elliptic problems. Zbl 1109.35014
Du, Yihong
2005
Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation. Zbl 1439.35205
Du, Yihong; Peng, Rui
2013
Traveling waves for a generalized Holling-Tanner predator-prey model. Zbl 1375.34070
Ai, Shangbing; Du, Yihong; Peng, Rui
2017
The parabolic logistic equation with blow-up initial and boundary values. Zbl 1308.35127
Du, Yihong; Peng, Rui; Poláçik, Peter
2012
Remarks on the uniqueness problem for the logistic equation on the entire space. Zbl 1161.35351
Du, Yihong; Liu, Lishan
2006
Free boundary models for mosquito range movement driven by climate warming. Zbl 1402.35283
Bao, Wendi; Du, Yihong; Lin, Zhigui; Zhu, Huaiping
2018
Morse index of layered solutions to the heterogeneous Allen-Cahn equation. Zbl 1121.35042
Du, Yihong; Nakashima, Kimie
2007
Spreading speed for a West Nile virus model with free boundary. Zbl 1421.35391
Wang, Zhiguo; Nie, Hua; Du, Yihong
2019
Unbounded principal eigenfunctions and the logistic equation on $$\mathbb{R}^N$$. Zbl 1030.35057
Dong, Wei; Du, Yihong
2003
Multiplicity of positive solutions for an indefinite superlinear elliptic problem on $$\mathbb R^N$$. Zbl 1149.35348
Du, Yihong
2004
Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions. Zbl 1357.35126
Du, Yihong; Guo, Zongming
2006
The heterogeneous Allen-Cahn equation in a ball: Solutions with layers and spikes. Zbl 1144.35017
Du, Yihong
2008
Exact singular behavior of positive solutions to nonlinear elliptic equations with a Hardy potential. Zbl 1372.35107
Wei, Lei; Du, Yihong
2017
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
2020
Symmetry for elliptic equations in a half-space without strong maximum principle. Zbl 1149.35349
Du, Yihong; Guo, Zongming
2004
Bifurcation from infinity in a class of nonlocal elliptic problems. Zbl 1034.35034
Du, Yihong
2002
Fixed points of some noncompact mappings and their applications. Zbl 0820.47062
Du, Yihong
1989
The Fisher-KPP equation over simple graphs: varied persistence states in river networks. Zbl 1431.35074
Du, Yihong; Lou, Bendong; Peng, Rui; Zhou, Maolin
2020
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
2020
A free boundary problem for spreading under shifting climate. Zbl 1448.35584
Hu, Yuanyang; Hao, Xinan; Song, Xianfa; Du, Yihong
2020
Logarithmic corrections in Fisher-KPP type porous medium equations. Zbl 1439.35238
Du, Yihong; Quirós, Fernando; Zhou, Maolin
2020
Analysis of a West Nile virus model with nonlocal diffusion and free boundaries. Zbl 1439.35220
Du, Yihong; Ni, Wenjie
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
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
2019
Spreading speed for a West Nile virus model with free boundary. Zbl 1421.35391
Wang, Zhiguo; Nie, Hua; Du, Yihong
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
2019
Asymptotic spreading speed for the weak competition system with a free boundary. Zbl 1419.35257
Wang, Zhiguo; Nie, Hua; Du, Yihong
2019
Positive solutions of elliptic equations with a strong singular potential. Zbl 1432.35097
Wei, Lei; Du, Yihong
2019
Sharp conditions for the existence of boundary blow-up solutions to the Monge-Ampère equation. Zbl 1410.35051
Zhang, Xuemei; Du, Yihong
2018
Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary. Zbl 1408.35227
Du, Yihong; Wei, Lei; Zhou, Ling
2018
Spreading with two speeds and mass segregation in a diffusive competition system with free boundaries. Zbl 1396.35028
Du, Yihong; Wu, Chang-Hong
2018
Free boundary models for mosquito range movement driven by climate warming. Zbl 1402.35283
Bao, Wendi; Du, Yihong; Lin, Zhigui; Zhu, Huaiping
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
2018
Semi-wave and spreading speed for the diffusive competition model with a free boundary. Zbl 1377.35136
Du, Yihong; Wang, Mingxin; Zhou, Maolin
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
2017
Asymptotic profile of the solution to a free boundary problem arising in a shifting climate model. Zbl 1360.35299
Lei, Chengxia; Du, Yihong
2017
Traveling waves for a generalized Holling-Tanner predator-prey model. Zbl 1375.34070
Ai, Shangbing; Du, Yihong; Peng, Rui
2017
Exact singular behavior of positive solutions to nonlinear elliptic equations with a Hardy potential. Zbl 1372.35107
Wei, Lei; Du, Yihong
2017
Spreading and vanishing for nonlinear Stefan problems in high space dimensions. Zbl 1386.35022
Du, Yihong; Lou, Bendong; Zhou, Maolin
2016
Spreading and vanishing in nonlinear diffusion problems with free boundaries. Zbl 1331.35399
Du, Yihong; Lou, Bendong
2015
Pulsating semi-waves in periodic media and spreading speed determined by a free boundary model. Zbl 1321.35263
Du, Yihong; Liang, Xing
2015
Spreading speed and profile for nonlinear Stefan problems in high space dimensions. Zbl 1310.35060
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
2015
Nonlinear diffusion problems with free boundaries: convergence, transition speed, and zero number arguments. Zbl 1321.35086
Du, Yihong; Lou, Bendong; Zhou, Maolin
2015
Finite Morse index solutions of weighted elliptic equations and the critical exponents. Zbl 1328.35028
Du, Yihong; Guo, Zongming
2015
Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $$\mathbb{R}^N$$. Zbl 1336.35207
Du, Yihong; Poláčik, Peter
2015
Boundary behavior of positive solutions to nonlinear elliptic equations with Hardy potential. Zbl 1317.35074
Du, Yihong; Wei, Lei
2015
Multiple steady-states in phytoplankton population induced by photoinhibition. Zbl 1330.92104
Du, Yihong; Hsu, Sze-Bi; Lou, Yuan
2015
The diffusive competition model with a free boundary: invasion of a superior or inferior competitor. Zbl 1310.35245
Du, Yihong; Lin, Zhigui
2014
Sharp estimate of the spreading speed determined by nonlinear free boundary problems. Zbl 1296.35219
Du, Yihong; Matsuzawa, Hiroshi; Zhou, Maolin
2014
Regularity and asymptotic behavior of nonlinear Stefan problems. Zbl 1293.35331
Du, Yihong; Matano, Hiroshi; Wang, Kelei
2014
Qualitative analysis of a cooperative reaction-diffusion system in a spatiotemporally degenerate environment. Zbl 1293.35138
Álvarez-Caudevilla, Pablo; Du, Yihong; Peng, Rui
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
2014
A diffusive logistic model with a free boundary in time-periodic environment. Zbl 1282.35419
Du, Yihong; Guo, Zongming; Peng, Rui
2013
Erratum to: “Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary”. Zbl 1275.35156
Du, Yihong; Lin, Zhigui
2013
Finite Morse index solutions and asymptotics of weighted nonlinear elliptic equations. Zbl 1275.35102
Du, Yihong; Guo, Zongming
2013
Sharp spatiotemporal patterns in the diffusive time-periodic logistic equation. Zbl 1439.35205
Du, Yihong; Peng, Rui
2013
Quasilinear elliptic equations on half- and quarter-spaces. Zbl 1278.35102
Dancer, E. N.; Du, Yihong; Efendiev, Messoud
2013
Spreading profile and nonlinear Stefan problems. Zbl 1290.35343
Du, Yihong
2013
Spreading speed revisited: analysis of a free boundary model. Zbl 1302.35194
Bunting, Gary; Du, Yihong; Krakowski, Krzysztof
2012
The Stefan problem for the Fisher-KPP equation. Zbl 1257.35110
Du, Yihong; Guo, Zongming
2012
The periodic logistic equation with spatial and temporal degeneracies. Zbl 1282.35061
Du, Yihong; Peng, Rui
2012
The parabolic logistic equation with blow-up initial and boundary values. Zbl 1308.35127
Du, Yihong; Peng, Rui; Poláçik, Peter
2012
A Liouville theorem for conformal Gaussian curvature type equations in $${\mathbb{R}}^2$$. Zbl 1235.35115
Du, Yihong; Ma, Li
2012
Spreading-vanishing dichotomy in a diffusive logistic model with a free boundary, II. Zbl 1222.35096
Du, Yihong; Guo, Zongming
2011
Finite Morse index solutions of an elliptic equation with supercritical exponent. Zbl 1219.35102
Dancer, E. N.; Du, Yihong; Guo, Zongming
2011
On a nonlocal reaction-diffusion-advection equation modelling phytoplankton dynamics. Zbl 1223.35063
Du, Yihong; Mei, Linfeng
2011
Spreading-vanishing dichotomy in the diffusive logistic model with a free boundary. Zbl 1219.35373
Du, Yihong; Lin, Zhigui
2010
Convergence and sharp thresholds for propagation in nonlinear diffusion problems. Zbl 1207.35061
Du, Yihong; Matano, Hiroshi
2010
On a nonlocal reaction-diffusion problem arising from the modeling of phytoplankton growth. Zbl 1211.35261
Du, Yihong; Hsu, Sze-Bi
2010
Isolated singularities for weighted quasilinear elliptic equations. Zbl 1192.35067
Cîrstea, Florica C.; Du, Yihong
2010
Effect of a protection zone in the diffusive Leslie predator-prey model. Zbl 1168.35444
Du, Yihong; Peng, Rui; Wang, Mingxin
2009
Positive solutions of an elliptic equation with negative exponent: stability and critical power. Zbl 1163.35018
Du, Yihong; Guo, Zongming
2009
On the long-time limit of positive solutions to the degenerate logistic equation. Zbl 1179.35073
Du, Yihong; Yamada, Yoshio
2009
Change of environment in model ecosystem: effect of a protection zone in diffusive population models. Zbl 1196.35124
Du, Yihong
2009
Corrigendum: “Boundary blow-up solutions and their applications in quasilinear elliptic equations”. Zbl 1179.35133
Du, Yihong; Guo, Zongming
2009
A diffusive competition model with a protection zone. Zbl 1138.35039
Du, Yihong; Liang, Xing
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
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. I: Existence. Zbl 1168.35347
Du, Yihong; Hsu, Sze-Bi
2008
Concentration phenomena in a nonlocal quasi-linear problem modelling phytoplankton. II: Limiting profile. Zbl 1168.35348
Du, Yihong; Hsu, Sze-Bi
2008
The heterogeneous Allen-Cahn equation in a ball: Solutions with layers and spikes. Zbl 1144.35017
Du, Yihong
2008
Allee effect and bistability in a spatially heterogeneous predator-prey model. Zbl 1189.35337
Du, Yihong; Shi, Junping
2007
Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity. Zbl 1220.35046
Cîrstea, Florica Corina; Du, Yihong
2007
Boundary blow-up solutions with interior layers and spikes in a bistable problem. Zbl 1142.35036
Du, Yihong; Guo, Zongming; Zhou, Feng
2007
Large solutions of elliptic equations with a weakly superlinear nonlinearity. Zbl 1186.35059
Cîrstea, Florica Corina; Du, Yihong
2007
Morse index of layered solutions to the heterogeneous Allen-Cahn equation. Zbl 1121.35042
Du, Yihong; Nakashima, Kimie
2007
Order structure and topological methods in nonlinear partial differential equations. Vol. 1. Maximum principles and applications. Zbl 1202.35043
Du, Yihong
2006
A diffusive predator-prey model with a protection zone. Zbl 1142.35022
Du, Yihong; Shi, Junping
2006
Some recent results on diffusive predator-prey models in spatially heterogeneous environment. Zbl 1100.35041
Du, Yihong; Shi, Junping
2006
Asymptotic behaviour of positive steady states to a predator-prey model. Zbl 1293.35102
Du, Yihong; Wang, Mingxin
2006
The degenerate logistic model and a singularly mixed boundary blow-up problem. Zbl 1194.35148
Du, Yihong; Guo, Zongming
2006
Remarks on the uniqueness problem for the logistic equation on the entire space. Zbl 1161.35351
Du, Yihong; Liu, Lishan
2006
Boundary layer and spike layer solutions for a bistable elliptic problem with generalized boundary conditions. Zbl 1357.35126
Du, Yihong; Guo, Zongming
2006
A uniqueness theorem for a free boundary problem. Zbl 1168.35450
Dancer, E. N.; Du, Yihong
2006
General uniqueness results and variation speed for blow-up solutions of elliptic equations. Zbl 1108.35068
Cîrstea, Florica Corina; Du, Yihong
2005
Nonlinear Liouville theorems and a priori estimates for indefinite superlinear elliptic equations. Zbl 1161.35388
Du, Yihong; Li, Shujie
2005
Bifurcation and related topics in elliptic problems. Zbl 1109.35014
Du, Yihong
2005
Multiple states and hysteresis for type I superconductors. Zbl 1110.82042
Du, Y.; Pan, X. B.
2005
A diffusive predator-prey model in heterogeneous environment. Zbl 1330.35467
Du, Yihong; Hsu, Sze-Bi
2004
Asymptotic behavior and uniqueness results for boundary blow-up solutions. Zbl 1150.35369
Du, Yihong
2004
Uniqueness and layer analysis for boundary blow up solutions. Zbl 1081.35032
Du, Yihong; Guo, Zongming
2004
Spatial patterns for population models in a heterogeneous environment. Zbl 1097.92057
Du, Yihong
2004
Boundary blow up solutions with a spike layer. Zbl 1081.35018
Du, Yihong; Yan, Shusen
2004
Multiplicity of positive solutions for an indefinite superlinear elliptic problem on $$\mathbb R^N$$. Zbl 1149.35348
Du, Yihong
2004
Symmetry for elliptic equations in a half-space without strong maximum principle. Zbl 1149.35349
Du, Yihong; Guo, Zongming
2004
Boundary blow-up solutions and their applications in quasilinear elliptic equations. Zbl 1162.35028
Du, Yihong; Guo, Zongming
2003
Realization of prescribed patterns in the competition model. Zbl 1274.35137
Du, Yihong
2003
Some remarks on Liouville type results for quasilinear elliptic equations. Zbl 1076.35038
Dancer, E. N.; Du, Yihong
2003
On a free boundary problem arising from population biology. Zbl 1022.92025
Dancer, E. N.; Du, Yihong
2003
Unbounded principal eigenfunctions and the logistic equation on $$\mathbb{R}^N$$. Zbl 1030.35057
Dong, Wei; Du, Yihong
2003
Asymptotic behavior of positive solutions of some elliptic problems. Zbl 1094.35045
Dancer, E. N.; Du, Yihong; Ma, Li
2003
Mountain pass solutions and an indefinite superlinear elliptic problem of $$\mathbb R^N$$. Zbl 1254.35066
Du, Yihong; Guo, Yuxia
2003
Boundary blow-up solutions and their applications. Zbl 1205.35090
Du, Yihong
2003
Some remarks related to De Giorgi’s conjecture. Zbl 1094.35047
Du, Yihong; Ma, Li
2003
Effects of a degeneracy in the competition model. I: Classical and generalized steady-state solutions. Zbl 1042.35016
Du, Yihong
2002
Effects of certain degeneracies in the predator-prey model. Zbl 1055.35046
Dancer, E. N.; Du, Yihong
2002
Effects of a degeneracy in the competition model. II: Perturbation and dynamical behaviour. Zbl 1042.35017
Du, Yihong
2002
Liouville type results and eventual flatness of positive solutions for $$p$$-Laplacian equations. Zbl 1075.35522
Du, Yihong; Guo, Zongming
2002
...and 33 more Documents
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#### Cited by 1,227 Authors

 76 Du, Yihong 62 Wang, Mingxin 38 Lin, Zhigui 36 Peng, Rui 35 Wu, Jianhua 34 Shi, Junping 32 Guo, Zongming 29 Li, Wan-Tong 20 Lou, Bendong 19 Dancer, Edward Norman 19 López-Gómez, Julián 19 Zhang, Zhijun 18 García-Melián, Jorge 18 Nie, Hua 18 Poláčik, Peter 17 Wei, Junjie 16 Li, Shanbing 15 Wei, Lei 14 Cîrstea, Florica-Corina Şt. 14 Ko, Wonlyul 14 Liu, Zuhan 14 Lou, Yuan 14 Zhou, Maolin 13 Mei, Linfeng 12 Ahn, Inkyung 12 Liang, Xing 12 Zhou, Ling 11 Chen, Shanshan 11 Dong, Wei 11 Fu, Shengmao 11 Guo, Shangjiang 11 Papageorgiou, Nikolaos S. 11 Sun, Jianwen 11 Zhang, Zhitao 11 Zhao, Xiao-Qiang 11 Zhou, Jun 10 Dong, Yaying 10 Lam, King-Yeung 10 Lei, Chengxia 10 Li, Yongxiang 10 Ma, Li 10 Wang, Jinfeng 10 Wang, Yuxia 9 Cao, Jia-Feng 9 Chen, Huyuan 9 Chen, Yujuan 9 Feng, Meiqiang 9 Gu, Hong 9 Liu, Zhaoli 9 Ruan, Shigui 9 Wan, FangShu 9 Wu, Changhong 9 Zhang, Shan 8 Ducrot, Arnaud 8 Guo, Gaihui 8 Guo, Jong-Shenq 8 Hsu, Szebi 8 Huang, Shuibo 8 Matano, Hiroshi 8 Mi, Ling 8 Mu, Chunlai 8 Ryu, Kimun 8 Suárez, Antonio 8 Sun, Ningkui 8 Wang, Feng-Bin 8 Wang, Kelei 8 Zhang, Xuemei 8 Zhao, Meng 8 Zheng, Sining 8 Zhu, Min 7 Chen, Pengyu 7 Ding, Weiwei 7 Giletti, Thomas 7 Li, Yanling 7 Liu, Lishan 7 Maire, Luis 7 Rossi, Julio Daniel 7 Tian, Qiaoyu 7 Wang, Zhi-Qiang 7 Xu, Xian 7 Zhou, Feng 6 Bartsch, Thomas J. 6 Cai, Jingjing 6 Conti, Monica C. 6 Farina, Alberto 6 Hamel, François 6 Jia, Yunfeng 6 Kaneko, Yuki 6 Li, Hong-gang 6 Li, Shujie 6 Matsuzawa, Hiroshi 6 Mohammed, Ahmed 6 Pao, Chia-Ven 6 Quaas, Alexander 6 Rădulescu, Vicenţiu D. 6 Sabina-de-Lis, José Claudio 6 Terracini, Susanna 6 Wei, Juncheng 6 Xie, Zhifu 6 Yamada, Yoshio ...and 1,127 more Authors
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#### Cited in 187 Serials

 157 Journal of Differential Equations 141 Journal of Mathematical Analysis and Applications 100 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 75 Nonlinear Analysis. Real World Applications 61 Discrete and Continuous Dynamical Systems. Series B 36 Discrete and Continuous Dynamical Systems 35 Calculus of Variations and Partial Differential Equations 27 Computers & Mathematics with Applications 27 Journal of Functional Analysis 26 ZAMP. Zeitschrift für angewandte Mathematik und Physik 22 Journal of Mathematical Biology 22 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 21 Applied Mathematics and Computation 21 Communications on Pure and Applied Analysis 19 Journal of Dynamics and Differential Equations 18 Applied Mathematics Letters 18 Boundary Value Problems 17 Proceedings of the American Mathematical Society 17 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 16 Acta Mathematica Sinica. English Series 15 Applicable Analysis 14 Transactions of the American Mathematical Society 14 Science China. Mathematics 11 Nonlinearity 11 Acta Applicandae Mathematicae 11 Journal de Mathématiques Pures et Appliquées. Neuvième Série 11 Abstract and Applied Analysis 10 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 10 Communications in Contemporary Mathematics 9 Archive for Rational Mechanics and Analysis 9 Bulletin of the Australian Mathematical Society 9 Applied Mathematical Modelling 9 SIAM Journal on Applied Mathematics 9 Advanced Nonlinear Studies 9 Advances in Difference Equations 9 International Journal of Biomathematics 8 Mathematical Methods in the Applied Sciences 8 Bulletin of Mathematical Biology 8 SIAM Journal on Mathematical Analysis 8 Nonlinear Dynamics 8 Complex Variables and Elliptic Equations 8 Nonlinear Analysis. Theory, Methods & Applications 7 Communications in Partial Differential Equations 7 Electronic Journal of Differential Equations (EJDE) 6 Acta Mathematicae Applicatae Sinica. English Series 6 NoDEA. Nonlinear Differential Equations and Applications 6 Advances in Nonlinear Analysis 5 Journal d’Analyse Mathématique 5 Journal of Computational and Applied Mathematics 5 Science in China. Series A 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Rocky Mountain Journal of Mathematics 4 Chaos, Solitons and Fractals 4 Mathematical and Computer Modelling 4 European Journal of Applied Mathematics 4 Journal of Nonlinear Science 4 Communications in Nonlinear Science and Numerical Simulation 4 Journal of Applied Mathematics 4 Fixed Point Theory and Applications 4 Mathematical Biosciences and Engineering 4 Journal of Fixed Point Theory and Applications 4 Journal of Applied Analysis and Computation 3 Communications in Mathematical Physics 3 Mathematical Biosciences 3 Mathematical Notes 3 Manuscripta Mathematica 3 Mathematische Nachrichten 3 Memoirs of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Physica D 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 Applied Mathematics. Series B (English Edition) 3 Positivity 3 Journal of Inequalities and Applications 3 Journal of Evolution Equations 3 Frontiers of Mathematics in China 3 Discrete and Continuous Dynamical Systems. Series S 3 Electronic Research Archive 2 Indian Journal of Pure & Applied Mathematics 2 Israel Journal of Mathematics 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Advances in Mathematics 2 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Journal of Economic Theory 2 Mathematische Annalen 2 Mathematica Slovaca 2 Numerical Functional Analysis and Optimization 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Results in Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 Acta Mathematica Hungarica 2 Journal of Integral Equations and Applications 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Applications of Mathematics 2 Topological Methods in Nonlinear Analysis 2 Journal of Mathematical Sciences (New York) 2 Complexity 2 Journal of Mathematical Chemistry 2 Mathematical Problems in Engineering ...and 87 more Serials
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#### Cited in 31 Fields

 1,207 Partial differential equations (35-XX) 593 Biology and other natural sciences (92-XX) 136 Ordinary differential equations (34-XX) 102 Operator theory (47-XX) 61 Dynamical systems and ergodic theory (37-XX) 54 Global analysis, analysis on manifolds (58-XX) 30 Integral equations (45-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 23 Numerical analysis (65-XX) 17 Classical thermodynamics, heat transfer (80-XX) 11 Probability theory and stochastic processes (60-XX) 9 Mechanics of deformable solids (74-XX) 9 Fluid mechanics (76-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Systems theory; control (93-XX) 8 Functional analysis (46-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Differential geometry (53-XX) 5 Real functions (26-XX) 4 Potential theory (31-XX) 3 Difference and functional equations (39-XX) 3 Operations research, mathematical programming (90-XX) 2 Quantum theory (81-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 General topology (54-XX) 1 Mechanics of particles and systems (70-XX) 1 Optics, electromagnetic theory (78-XX) 1 Relativity and gravitational theory (83-XX)