Du, Yihong; Ni, Wenjie The Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry in \(\mathbb{R}^3 \). (English) Zbl 07817676 Math. Eng. (Springfield) 5, No. 2, Paper No. 41, 26 p. (2023). MSC: 35-XX 82-XX PDFBibTeX XMLCite \textit{Y. Du} and \textit{W. Ni}, Math. Eng. (Springfield) 5, No. 2, Paper No. 41, 26 p. (2023; Zbl 07817676) Full Text: DOI
Khan, Kamruzzaman; Schaerf, Timothy M.; Du, Yihong Effects of environmental heterogeneity on species spreading via numerical analysis of some free boundary models. (English) Zbl 1521.35103 Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6248-6288 (2023). MSC: 35K51 35K57 92D25 65M22 PDFBibTeX XMLCite \textit{K. Khan} et al., Discrete Contin. Dyn. Syst., Ser. B 28, No. 12, 6248--6288 (2023; Zbl 1521.35103) Full Text: DOI
Du, Yihong; Ni, Wenjie Approximation of random diffusion equations by nonlocal diffusion equations in free boundary problems of one space dimension. (English) Zbl 1512.35359 Commun. Contemp. Math. 25, No. 4, Article ID 2250004, 42 p. (2023). MSC: 35K20 35R35 35R09 PDFBibTeX XMLCite \textit{Y. Du} and \textit{W. Ni}, Commun. Contemp. Math. 25, No. 4, Article ID 2250004, 42 p. (2023; Zbl 1512.35359) Full Text: DOI arXiv
Du, Yihong; Ni, Wenjie The high dimensional Fisher-KPP nonlocal diffusion equation with free boundary and radial symmetry. I. (English) Zbl 1494.35033 SIAM J. Math. Anal. 54, No. 3, 3930-3973 (2022). MSC: 35B40 35K20 35K58 35R09 35R35 PDFBibTeX XMLCite \textit{Y. Du} and \textit{W. Ni}, SIAM J. Math. Anal. 54, No. 3, 3930--3973 (2022; Zbl 1494.35033) Full Text: DOI arXiv
Du, Yihong Propagation and reaction-diffusion models with free boundaries. (English) Zbl 1486.35479 Bull. Math. Sci. 12, No. 1, Article ID 2230001, 56 p. (2022). MSC: 35R35 35K20 35K57 35K58 92D25 92D30 PDFBibTeX XMLCite \textit{Y. Du}, Bull. Math. Sci. 12, No. 1, Article ID 2230001, 56 p. (2022; Zbl 1486.35479) Full Text: DOI
Du, Yihong; Wu, Chang-Hong Classification of the spreading behaviors of a two-species diffusion-competition system with free boundaries. (English) Zbl 1485.35432 Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 54, 34 p. (2022). MSC: 35R35 35K51 35K57 92B05 92D25 PDFBibTeX XMLCite \textit{Y. Du} and \textit{C.-H. Wu}, Calc. Var. Partial Differ. Equ. 61, No. 2, Paper No. 54, 34 p. (2022; Zbl 1485.35432) Full Text: DOI
Du, Yihong; Li, Fang; Zhou, Maolin Semi-wave and spreading speed of the nonlocal Fisher-KPP equation with free boundaries. (English. French summary) Zbl 1473.35665 J. Math. Pures Appl. (9) 154, 30-66 (2021). MSC: 35R35 35K20 35K57 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Math. Pures Appl. (9) 154, 30--66 (2021; Zbl 1473.35665) Full Text: DOI arXiv
Wang, Rong; Du, Yihong Long-time dynamics of a diffusive epidemic model with free boundaries. (English) Zbl 1466.35047 Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 2201-2238 (2021). MSC: 35B40 35K20 35K57 35R35 92D25 PDFBibTeX XMLCite \textit{R. Wang} and \textit{Y. Du}, Discrete Contin. Dyn. Syst., Ser. B 26, No. 4, 2201--2238 (2021; Zbl 1466.35047) Full Text: DOI
Du, Yihong; Gui, Changfeng; Wang, Kelei; Zhou, Maolin Semi-waves with \(\Lambda\)-shaped free boundary for nonlinear Stefan problems: existence. (English) Zbl 1461.35249 Proc. Am. Math. Soc. 149, No. 5, 2091-2104 (2021). MSC: 35R35 35C07 35K20 35K58 PDFBibTeX XMLCite \textit{Y. Du} et al., Proc. Am. Math. Soc. 149, No. 5, 2091--2104 (2021; Zbl 1461.35249) Full Text: DOI
Zhao, Meng; Li, Wantong; Du, Yihong The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries. (English) Zbl 1460.35400 Commun. Pure Appl. Anal. 19, No. 9, 4599-4620 (2020). MSC: 35R35 35K57 35K51 35R09 92D30 35B40 PDFBibTeX XMLCite \textit{M. Zhao} et al., Commun. Pure Appl. Anal. 19, No. 9, 4599--4620 (2020; Zbl 1460.35400) Full Text: DOI
Du, Yihong Propagation, diffusion and free boundaries. (English) Zbl 1465.35004 SN Partial Differ. Equ. Appl. 1, No. 5, Paper No. 35, 24 p. (2020). Reviewer: Yingxin Guo (Qufu) MSC: 35-02 35K20 35R35 35R09 92D25 35K57 PDFBibTeX XMLCite \textit{Y. Du}, SN Partial Differ. Equ. Appl. 1, No. 5, Paper No. 35, 24 p. (2020; Zbl 1465.35004) Full Text: DOI
Zhao, Meng; Zhang, Yang; Li, Wan-Tong; Du, Yihong The dynamics of a degenerate epidemic model with nonlocal diffusion and free boundaries. (English) Zbl 1442.35486 J. Differ. Equations 269, No. 4, 3347-3386 (2020). MSC: 35Q92 92D30 35K51 45G15 PDFBibTeX XMLCite \textit{M. Zhao} et al., J. Differ. Equations 269, No. 4, 3347--3386 (2020; Zbl 1442.35486) Full Text: DOI arXiv
Wei, Lei; Du, Yihong Positive solutions of elliptic equations with a strong singular potential. (English) Zbl 1432.35097 Bull. Lond. Math. Soc. 51, No. 2, 251-266 (2019). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J91 35B09 PDFBibTeX XMLCite \textit{L. Wei} and \textit{Y. Du}, Bull. Lond. Math. Soc. 51, No. 2, 251--266 (2019; Zbl 1432.35097) Full Text: DOI
Cao, Jia-Feng; Du, Yihong; Li, Fang; Li, Wan-Tong The dynamics of a Fisher-KPP nonlocal diffusion model with free boundaries. (English) Zbl 1418.35229 J. Funct. Anal. 277, No. 8, 2772-2814 (2019). MSC: 35K57 35R20 35Q92 92D25 PDFBibTeX XMLCite \textit{J.-F. Cao} et al., J. Funct. Anal. 277, No. 8, 2772--2814 (2019; Zbl 1418.35229) Full Text: DOI arXiv
Du, Yihong; Wei, Lei; Zhou, Ling Spreading in a shifting environment modeled by the diffusive logistic equation with a free boundary. (English) Zbl 1408.35227 J. Dyn. Differ. Equations 30, No. 4, 1389-1426 (2018). Reviewer: Luisa Consiglieri (Lisboa) MSC: 35R35 35K20 92B05 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Dyn. Differ. Equations 30, No. 4, 1389--1426 (2018; Zbl 1408.35227) Full Text: DOI arXiv
Du, Yihong; Wu, Chang-Hong Spreading with two speeds and mass segregation in a diffusive competition system with free boundaries. (English) Zbl 1396.35028 Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 52, 36 p. (2018). Reviewer: Andrey Zahariev (Plovdiv) MSC: 35K51 35J87 35Q92 92B05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{C.-H. Wu}, Calc. Var. Partial Differ. Equ. 57, No. 2, Paper No. 52, 36 p. (2018; Zbl 1396.35028) Full Text: DOI arXiv
Du, Yihong; Wang, Mingxin; Zhou, Maolin Semi-wave and spreading speed for the diffusive competition model with a free boundary. (English. French summary) Zbl 1377.35136 J. Math. Pures Appl. (9) 107, No. 3, 253-287 (2017). MSC: 35K51 35R35 35B40 92D25 92B05 35Q92 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Math. Pures Appl. (9) 107, No. 3, 253--287 (2017; Zbl 1377.35136) Full Text: DOI arXiv
Ding, Weiwei; Du, Yihong; Liang, Xing Spreading in space-time periodic media governed by a monostable equation with free boundaries. I: Continuous initial functions. (English) Zbl 1422.35102 J. Differ. Equations 262, No. 10, 4988-5021 (2017). MSC: 35K20 35R35 35J60 35K58 PDFBibTeX XMLCite \textit{W. Ding} et al., J. Differ. Equations 262, No. 10, 4988--5021 (2017; Zbl 1422.35102) Full Text: DOI arXiv
Du, Yihong; Lou, Bendong; Zhou, Maolin Spreading and vanishing for nonlinear Stefan problems in high space dimensions. (English) Zbl 1386.35022 J. Elliptic Parabol. Equ. 2, No. 1-2, 297-321 (2016). MSC: 35B40 35K55 35R35 35K20 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Elliptic Parabol. Equ. 2, No. 1--2, 297--321 (2016; Zbl 1386.35022) Full Text: DOI
Du, Yihong; Wei, Lei Boundary behavior of positive solutions to nonlinear elliptic equations with Hardy potential. (English) Zbl 1317.35074 J. Lond. Math. Soc., II. Ser. 91, No. 3, 731-749 (2015). MSC: 35J60 35B40 35B09 35B44 PDFBibTeX XMLCite \textit{Y. Du} and \textit{L. Wei}, J. Lond. Math. Soc., II. Ser. 91, No. 3, 731--749 (2015; Zbl 1317.35074) Full Text: DOI
Du, Yihong; Guo, Zongming; Peng, Rui A diffusive logistic model with a free boundary in time-periodic environment. (English) Zbl 1282.35419 J. Funct. Anal. 265, No. 9, 2089-2142 (2013). MSC: 35R35 35K20 PDFBibTeX XMLCite \textit{Y. Du} et al., J. Funct. Anal. 265, No. 9, 2089--2142 (2013; Zbl 1282.35419) Full Text: DOI
Dancer, E. N.; Du, Yihong; Guo, Zongming Finite Morse index solutions of an elliptic equation with supercritical exponent. (English) Zbl 1219.35102 J. Differ. Equations 250, No. 8, 3281-3310 (2011). Reviewer: Nicolae Pop (Baia Mare) MSC: 35J61 35B45 35J40 35B40 35B09 PDFBibTeX XMLCite \textit{E. N. Dancer} et al., J. Differ. Equations 250, No. 8, 3281--3310 (2011; Zbl 1219.35102) Full Text: DOI
Du, Yihong; Matano, Hiroshi Convergence and sharp thresholds for propagation in nonlinear diffusion problems. (English) Zbl 1207.35061 J. Eur. Math. Soc. (JEMS) 12, No. 2, 279-312 (2010). Reviewer: Bixiang Wang (Socorro) MSC: 35B40 35K15 35K58 80A25 PDFBibTeX XMLCite \textit{Y. Du} and \textit{H. Matano}, J. Eur. Math. Soc. (JEMS) 12, No. 2, 279--312 (2010; Zbl 1207.35061) Full Text: DOI Link
Du, Yihong The heterogeneous Allen-Cahn equation in a ball: Solutions with layers and spikes. (English) Zbl 1144.35017 J. Differ. Equations 244, No. 1, 117-169 (2008). Reviewer: Mohammed Bouchekif (Tlemcen) MSC: 35J25 35J60 35B25 PDFBibTeX XMLCite \textit{Y. Du}, J. Differ. Equations 244, No. 1, 117--169 (2008; Zbl 1144.35017) Full Text: DOI
Cîrstea, Florica Corina; Du, Yihong Large solutions of elliptic equations with a weakly superlinear nonlinearity. (English) Zbl 1186.35059 J. Anal. Math. 103, 261-277 (2007). MSC: 35J60 35B40 35C20 PDFBibTeX XMLCite \textit{F. C. Cîrstea} and \textit{Y. Du}, J. Anal. Math. 103, 261--277 (2007; Zbl 1186.35059) Full Text: DOI
Cîrstea, Florica Corina; Du, Yihong Asymptotic behavior of solutions of semilinear elliptic equations near an isolated singularity. (English) Zbl 1220.35046 J. Funct. Anal. 250, No. 2, 317-346 (2007). Reviewer: Lubomira Softova (Aversa) MSC: 35J60 35B05 PDFBibTeX XMLCite \textit{F. C. Cîrstea} and \textit{Y. Du}, J. Funct. Anal. 250, No. 2, 317--346 (2007; Zbl 1220.35046) Full Text: DOI
Du, Yihong; Nakashima, Kimie Morse index of layered solutions to the heterogeneous Allen-Cahn equation. (English) Zbl 1121.35042 J. Differ. Equations 238, No. 1, 87-117 (2007). Reviewer: Patrick Habets (Louvain-La-Neuve) MSC: 35J25 35B25 35C20 34E15 PDFBibTeX XMLCite \textit{Y. Du} and \textit{K. Nakashima}, J. Differ. Equations 238, No. 1, 87--117 (2007; Zbl 1121.35042) Full Text: DOI
Du, Y.; Pan, X. B. Multiple states and hysteresis for type I superconductors. (English) Zbl 1110.82042 J. Math. Phys. 46, No. 7, 073301, 34 p. (2005). MSC: 82D55 58E50 PDFBibTeX XMLCite \textit{Y. Du} and \textit{X. B. Pan}, J. Math. Phys. 46, No. 7, 073301, 34 p. (2005; Zbl 1110.82042) Full Text: DOI
Du, Yihong; Guo, Zongming Uniqueness and layer analysis for boundary blow up solutions. (English) Zbl 1081.35032 J. Math. Pures Appl. (9) 83, No. 6, 739-763 (2004). MSC: 35J60 35B45 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Z. Guo}, J. Math. Pures Appl. (9) 83, No. 6, 739--763 (2004; Zbl 1081.35032) Full Text: DOI
Du, Yihong Multiplicity of positive solutions for an indefinite superlinear elliptic problem on \(\mathbb R^N\). (English) Zbl 1149.35348 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 5, 657-672 (2004). MSC: 35J60 35J20 47J15 PDFBibTeX XMLCite \textit{Y. Du}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 21, No. 5, 657--672 (2004; Zbl 1149.35348) Full Text: DOI Numdam EuDML
Dong, Wei; Du, Yihong Unbounded principal eigenfunctions and the logistic equation on \(\mathbb{R}^N\). (English) Zbl 1030.35057 Bull. Aust. Math. Soc. 67, No. 3, 413-427 (2003). Reviewer: Dian K.Palagachev (Bari) MSC: 35J60 PDFBibTeX XMLCite \textit{W. Dong} and \textit{Y. Du}, Bull. Aust. Math. Soc. 67, No. 3, 413--427 (2003; Zbl 1030.35057) Full Text: DOI
Du, Yihong; Guo, Zongming Boundary blow-up solutions and their applications in quasilinear elliptic equations. (English) Zbl 1162.35028 J. Anal. Math. 89, 277-302 (2003). Reviewer: Lubomira Softova (Bari) MSC: 35J60 PDFBibTeX XMLCite \textit{Y. Du} and \textit{Z. Guo}, J. Anal. Math. 89, 277--302 (2003; Zbl 1162.35028) Full Text: DOI
Du, Yihong; Ma, Li Positive solutions of an elliptic partial differential equation on \(\mathbb{R}^N\). (English) Zbl 1007.35016 J. Math. Anal. Appl. 271, No. 2, 409-425 (2002). MSC: 35J15 35B05 35B65 35A05 PDFBibTeX XMLCite \textit{Y. Du} and \textit{L. Ma}, J. Math. Anal. Appl. 271, No. 2, 409--425 (2002; Zbl 1007.35016) Full Text: DOI
Du, Yihong Effects of a degeneracy in the competition model. II: Perturbation and dynamical behaviour. (English) Zbl 1042.35017 J. Differ. Equations 181, No. 1, 133-164 (2002). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35K50 35B40 35K57 92D25 PDFBibTeX XMLCite \textit{Y. Du}, J. Differ. Equations 181, No. 1, 133--164 (2002; Zbl 1042.35017) Full Text: DOI