Gomez, Daniel; De Medeiros, Markus; Wei, Jun-cheng; Yang, Wen Spike solutions to the supercritical fractional Gierer-Meinhardt system. (English) Zbl 07787316 J. Nonlinear Sci. 34, No. 1, Paper No. 24, 57 p. (2024). MSC: 35K57 35B25 35B36 35K51 35R11 PDFBibTeX XMLCite \textit{D. Gomez} et al., J. Nonlinear Sci. 34, No. 1, Paper No. 24, 57 p. (2024; Zbl 07787316) Full Text: DOI arXiv
Kong, Fanze; Wei, Juncheng; Xu, Liangshun Existence of multi-spikes in the Keller-Segel model with logistic growth. (English) Zbl 1523.35046 Math. Models Methods Appl. Sci. 33, No. 11, 2227-2270 (2023). MSC: 35B40 35B25 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{F. Kong} et al., Math. Models Methods Appl. Sci. 33, No. 11, 2227--2270 (2023; Zbl 1523.35046) Full Text: DOI
Gomez, Daniel; Wei, Jun-cheng; Yang, Zhangyu Multi-spike solutions to the one-dimensional subcritical fractional Schnakenberg system. (English) Zbl 1518.35038 Physica D 448, Article ID 133720, 12 p. (2023). MSC: 35B25 35C08 35C20 35K51 35K57 35R11 PDFBibTeX XMLCite \textit{D. Gomez} et al., Physica D 448, Article ID 133720, 12 p. (2023; Zbl 1518.35038) Full Text: DOI
Kong, Fanze; Wei, Juncheng; Xu, Liangshun The existence and stability of spikes in the one-dimensional Keller-Segel model with logistic growth. (English) Zbl 1505.35021 J. Math. Biol. 86, No. 1, Paper No. 6, 54 p. (2023). MSC: 35B25 35B40 35K51 35K59 92C17 PDFBibTeX XMLCite \textit{F. Kong} et al., J. Math. Biol. 86, No. 1, Paper No. 6, 54 p. (2023; Zbl 1505.35021) Full Text: DOI
de Medeiros, Markus; Wei, Jun-Cheng; Yang, Wen Existence and stability of symmetric and asymmetric patterns for the half-Laplacian Gierer-Meinhardt system in one-dimensional domain. (English) Zbl 1497.35492 Math. Models Methods Appl. Sci. 32, No. 6, 1193-1250 (2022). MSC: 35R11 35B25 35B36 35K51 35K58 PDFBibTeX XMLCite \textit{M. de Medeiros} et al., Math. Models Methods Appl. Sci. 32, No. 6, 1193--1250 (2022; Zbl 1497.35492) Full Text: DOI
Gomez, Daniel; Mei, Linfeng; Wei, Juncheng Boundary layer solutions in the Gierer-Meinhardt system with inhomogeneous boundary conditions. (English) Zbl 1484.35024 Physica D 429, Article ID 133071, 16 p. (2022). MSC: 35B25 35B36 35C20 35K51 35K57 PDFBibTeX XMLCite \textit{D. Gomez} et al., Physica D 429, Article ID 133071, 16 p. (2022; Zbl 1484.35024) Full Text: DOI
Gomez, Daniel; Mei, Linfeng; Wei, Juncheng Hopf bifurcation from spike solutions for the weak coupling Gierer-Meinhardt system. (English) Zbl 1504.35034 Eur. J. Appl. Math. 32, No. 1, 113-145 (2021). MSC: 35B25 35B10 35B32 35B35 35K51 35K57 35P30 92C40 PDFBibTeX XMLCite \textit{D. Gomez} et al., Eur. J. Appl. Math. 32, No. 1, 113--145 (2021; Zbl 1504.35034) Full Text: DOI
Gomez, Daniel; Wei, Juncheng Multi-spike patterns in the Gierer-Meinhardt system with a nonzero activator boundary flux. (English) Zbl 1462.35032 J. Nonlinear Sci. 31, No. 2, Paper No. 37, 41 p. (2021). MSC: 35B25 35B36 35K51 35K57 PDFBibTeX XMLCite \textit{D. Gomez} and \textit{J. Wei}, J. Nonlinear Sci. 31, No. 2, Paper No. 37, 41 p. (2021; Zbl 1462.35032) Full Text: DOI arXiv
Buttenschoen, Andreas; Kolokolnikov, Theodore; Ward, Michael J.; Wei, Juncheng Cops-on-the-dots: the linear stability of crime hotspots for a 1-D reaction-diffusion model of urban crime. (English) Zbl 1504.35031 Eur. J. Appl. Math. 31, No. 5, 871-917 (2020). MSC: 35B25 35B32 35B35 35K51 35K57 PDFBibTeX XMLCite \textit{A. Buttenschoen} et al., Eur. J. Appl. Math. 31, No. 5, 871--917 (2020; Zbl 1504.35031) Full Text: DOI
Kolokolnikov, Theodore; Wei, Juncheng Hexagonal spike clusters for some PDE’s in 2D. (English) Zbl 1452.35015 Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 4057-4070 (2020). MSC: 35B25 35K57 35B36 35J61 35J47 PDFBibTeX XMLCite \textit{T. Kolokolnikov} and \textit{J. Wei}, Discrete Contin. Dyn. Syst., Ser. B 25, No. 10, 4057--4070 (2020; Zbl 1452.35015) Full Text: DOI
Gomez, Daniel; Mei, Linfeng; Wei, Juncheng Stable and unstable periodic spiky solutions for the Gray-Scott system and the Schnakenberg system. (English) Zbl 1437.35054 J. Dyn. Differ. Equations 32, No. 1, 441-481 (2020). MSC: 35B32 35B25 35K51 35B10 92C40 35K58 35B35 PDFBibTeX XMLCite \textit{D. Gomez} et al., J. Dyn. Differ. Equations 32, No. 1, 441--481 (2020; Zbl 1437.35054) Full Text: DOI
Ao, Weiwei; Wei, Juncheng; Winter, Matthias Stable spike clusters on a compact two-dimensional Riemannian manifold. (English) Zbl 1431.35060 J. Differ. Equations 268, No. 7, 3665-3704 (2020). Reviewer: Denise Huet (Nancy) MSC: 35K45 58J65 53B20 35K57 PDFBibTeX XMLCite \textit{W. Ao} et al., J. Differ. Equations 268, No. 7, 3665--3704 (2020; Zbl 1431.35060) Full Text: DOI
Chang, Yifan; Tzou, J. C.; Ward, M. J.; Wei, J. C. Refined stability thresholds for localized spot patterns for the Brusselator model in \(\mathbb{R}^2\). (English) Zbl 1427.35107 Eur. J. Appl. Math. 30, No. 4, 791-828 (2019). MSC: 35K51 35K58 35B25 PDFBibTeX XMLCite \textit{Y. Chang} et al., Eur. J. Appl. Math. 30, No. 4, 791--828 (2019; Zbl 1427.35107) Full Text: DOI
Kolokolnikov, Theodore; Ward, Michael; Tzou, Justin; Wei, Juncheng Stabilizing a homoclinic stripe. (English) Zbl 1425.35100 Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2135, Article ID 20180110, 13 p. (2018). MSC: 35K57 35K51 35M33 35B25 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., Philos. Trans. R. Soc. Lond., A, Math. Phys. Eng. Sci. 376, No. 2135, Article ID 20180110, 13 p. (2018; Zbl 1425.35100) Full Text: DOI Link
Lin, Chang-Shou; Nie, Zhaohu; Wei, Juncheng Toda systems and hypergeometric equations. (English) Zbl 1402.35106 Trans. Am. Math. Soc. 370, No. 11, 7605-7626 (2018). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35J47 33C20 PDFBibTeX XMLCite \textit{C.-S. Lin} et al., Trans. Am. Math. Soc. 370, No. 11, 7605--7626 (2018; Zbl 1402.35106) Full Text: DOI arXiv
Wei, Juncheng; Winter, Matthias Stable spike clusters for the one-dimensional Gierer-Meinhardt system. (English) Zbl 1386.35165 Eur. J. Appl. Math. 28, No. 4, 576-635 (2017). MSC: 35K51 35B35 35J75 35B25 35K57 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, Eur. J. Appl. Math. 28, No. 4, 576--635 (2017; Zbl 1386.35165) Full Text: DOI
Wei, Juncheng; Winter, Matthias; Yang, Wen Stable spike clusters for the precursor Gierer-Meinhardt system in \(\mathbb {R}^2\). (English) Zbl 1386.35166 Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 142, 40 p. (2017). Reviewer: Dian K. Palagachev (Bari) MSC: 35K51 35B35 92C15 35B40 35B25 PDFBibTeX XMLCite \textit{J. Wei} et al., Calc. Var. Partial Differ. Equ. 56, No. 5, Paper No. 142, 40 p. (2017; Zbl 1386.35166) Full Text: DOI arXiv
Iron, D.; Rumsey, J.; Ward, M. J.; Wei, J. On accurately estimating stability thresholds for periodic spot patterns of reaction-diffusion systems in \(\mathbb{R}^2\). (English) Zbl 1382.35134 Eur. J. Appl. Math. 26, No. 3, 325-353 (2015). MSC: 35K57 35K40 35B10 35B35 PDFBibTeX XMLCite \textit{D. Iron} et al., Eur. J. Appl. Math. 26, No. 3, 325--353 (2015; Zbl 1382.35134) Full Text: DOI
Wei, Juncheng; Winter, Matthias Existence and stability of a spike in the central component for a consumer chain model. (English) Zbl 1375.35247 J. Dyn. Differ. Equations 27, No. 3-4, 1141-1171 (2015). MSC: 35K51 35B35 92C40 35B40 35B25 92C42 92D25 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Dyn. Differ. Equations 27, No. 3--4, 1141--1171 (2015; Zbl 1375.35247) Full Text: DOI
Iron, David; Rumsey, John; Ward, Michael J.; Wei, Juncheng Logarithmic expansions and the stability of periodic patterns of localized spots for reaction-diffusion systems in \(\mathbb R^2\). (English) Zbl 1334.35347 J. Nonlinear Sci. 24, No. 5, 857-912 (2014). Reviewer: Catalin Popa (Iaşi) MSC: 35Q82 35K57 82B20 PDFBibTeX XMLCite \textit{D. Iron} et al., J. Nonlinear Sci. 24, No. 5, 857--912 (2014; Zbl 1334.35347) Full Text: DOI arXiv
Berestycki, Henri; Wei, Juncheng; Winter, Matthias Existence of symmetric and asymmetric spikes for a crime hotspot model. (English) Zbl 1347.34035 SIAM J. Math. Anal. 46, No. 1, 691-719 (2014). Reviewer: Oleh Omel’chenko (Berlin) MSC: 34B15 34E15 91D10 34E05 PDFBibTeX XMLCite \textit{H. Berestycki} et al., SIAM J. Math. Anal. 46, No. 1, 691--719 (2014; Zbl 1347.34035) Full Text: DOI arXiv
Wei, Juncheng; Winter, Matthias Stability of cluster solutions in a cooperative consumer chain model. (English) Zbl 1286.35034 J. Math. Biol. 68, No. 1-2, 1-39 (2014). MSC: 35B35 92C40 35Q92 35B40 35B25 35K58 35B36 35K57 35K51 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Math. Biol. 68, No. 1--2, 1--39 (2014; Zbl 1286.35034) Full Text: DOI Link
Kolokolnikov, Theodore; Wei, Juncheng; Yang, Wen On large ring solutions for Gierer-Meinhardt system in \(\mathbb R^3\). (English) Zbl 1286.35102 J. Differ. Equations 255, No. 7, 1408-1436 (2013). Reviewer: Giovanni Anello (Messina) MSC: 35J47 35B25 35J60 92C37 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., J. Differ. Equations 255, No. 7, 1408--1436 (2013; Zbl 1286.35102) Full Text: DOI
Lin, Chang-Shou; Wei, Juncheng; Ye, Dong Classification and nondegeneracy of \(SU(n+1)\) Toda system with singular sources. (English) Zbl 1258.35089 Invent. Math. 190, No. 1, 169-207 (2012). Reviewer: Dian K. Palagachev (Bari) MSC: 35J50 35B99 35B06 PDFBibTeX XMLCite \textit{C.-S. Lin} et al., Invent. Math. 190, No. 1, 169--207 (2012; Zbl 1258.35089) Full Text: DOI arXiv
Kolokolnikov, Theodore; Wei, Juncheng Stability of spiky solutions in a competition model with cross-diffusion. (English) Zbl 1259.35018 SIAM J. Appl. Math. 71, No. 4, 1428-1457 (2011). Reviewer: Oleh Omel’chenko (Berlin) MSC: 35B25 35K57 35B36 35K58 35K51 35B35 PDFBibTeX XMLCite \textit{T. Kolokolnikov} and \textit{J. Wei}, SIAM J. Appl. Math. 71, No. 4, 1428--1457 (2011; Zbl 1259.35018) Full Text: DOI Link
Wei, Juncheng; Winter, Matthias Spikes for the Gierer-Meinhardt system with discontinuous diffusion coefficients. (English) Zbl 1183.35021 J. Nonlinear Sci. 19, No. 3, 301-339 (2009). Reviewer: Denise Huet (Nancy) MSC: 35B25 35B36 35B40 92C15 92C40 35K51 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Nonlinear Sci. 19, No. 3, 301--339 (2009; Zbl 1183.35021) Full Text: DOI
Kolokolnikov, Theodore; Wei, Juncheng; Winter, Matthias Existence and stability analysis of spiky solutions for the Gierer-Meinhardt system with large reaction rates. (English) Zbl 1179.37120 Physica D 238, No. 16, 1695-1710 (2009). Reviewer: Guy Katriel (Haifa) MSC: 37N25 92B15 35K57 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., Physica D 238, No. 16, 1695--1710 (2009; Zbl 1179.37120) Full Text: DOI
Wei, Juncheng; Winter, Matthias On the Gierer-Meinhardt system with precursors. (English) Zbl 1197.35024 Discrete Contin. Dyn. Syst. 25, No. 1, 363-398 (2009). Reviewer: Dmitry Pelinovsky (Hamilton) MSC: 35B25 35B40 35B45 92C15 92C40 35B36 35J57 35J61 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, Discrete Contin. Dyn. Syst. 25, No. 1, 363--398 (2009; Zbl 1197.35024) Full Text: DOI
Wei, Juncheng Existence and stability of spikes for the Gierer-Meinhardt system. (English) Zbl 1223.35007 Chipot, Michel (ed.), Handbook of differential equations: Stationary partial differential equations. Vol. V. Amsterdam: Elsevier/North Holland (ISBN 978-0-444-53217-6/hbk). Handbook of Differential Equations, 487-585 (2008). Reviewer: Oleh Omel’chenko (Berlin) MSC: 35-02 35B25 35J25 35J57 35Q92 35J60 PDFBibTeX XMLCite \textit{J. Wei}, in: Handbook of differential equations: Stationary partial differential equations. Vol. V. Amsterdam: Elsevier/North Holland. 487--585 (2008; Zbl 1223.35007)
Wei, Juncheng; Winter, Matthias Mutually exclusive spiky pattern and segmentation modeled by the five-component Meinhardt-Gierer system. (English) Zbl 1170.35049 SIAM J. Appl. Math. 69, No. 2, 419-452 (2008). Reviewer: J. M. Tchuenche (Dar es Salaam) MSC: 35K50 35B35 92C15 92D25 35B25 35K55 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, SIAM J. Appl. Math. 69, No. 2, 419--452 (2008; Zbl 1170.35049) Full Text: DOI
Wang, Liping; Wei, Juncheng Solutions with interior bubble and boundary layer for an elliptic problem. (English) Zbl 1160.35331 Discrete Contin. Dyn. Syst. 21, No. 1, 333-351 (2008). MSC: 35B25 35B40 35B45 35J25 35J67 35J65 PDFBibTeX XMLCite \textit{L. Wang} and \textit{J. Wei}, Discrete Contin. Dyn. Syst. 21, No. 1, 333--351 (2008; Zbl 1160.35331) Full Text: DOI
Kolokolonikov, T.; Wei, Juncheng Positive clustered layered solutions for the Gierer-Meinhardt system. (English) Zbl 1155.35022 J. Differ. Equations 245, No. 4, 964-993 (2008). Reviewer: Yaping Liu (Pittsburg) MSC: 35J55 35Q80 35B25 35J60 92C37 PDFBibTeX XMLCite \textit{T. Kolokolonikov} and \textit{J. Wei}, J. Differ. Equations 245, No. 4, 964--993 (2008; Zbl 1155.35022) Full Text: DOI
Wei, Juncheng; Winter, Matthias Existence, classification and stability analysis of multiple-peaked solutions for the Gierer-Meinhardt system in \(\mathbb R^1\). (English) Zbl 1195.35033 Methods Appl. Anal. 14, No. 2, 119-163 (2007). MSC: 35B25 35B40 35B45 92C15 92C40 35B35 35J47 35J57 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, Methods Appl. Anal. 14, No. 2, 119--163 (2007; Zbl 1195.35033) Full Text: DOI Euclid Link
Kolokolnikov, T.; Ward, M. J.; Wei, J. Self-replication of mesa patterns in reaction-diffusion systems. (English) Zbl 1136.35002 Physica D 236, No. 2, 104-122 (2007). MSC: 35B25 35K57 35K50 35B32 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., Physica D 236, No. 2, 104--122 (2007; Zbl 1136.35002) Full Text: DOI arXiv
Kolokolnikov, T.; Ward, M. J.; Wei, J. Zigzag and breakup instabilities of stripes and rings in the two-dimensional Gray-Scott model. (English) Zbl 1145.35388 Stud. Appl. Math. 116, No. 1, 35-95 (2006). MSC: 35K50 35B25 35B40 35K55 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., Stud. Appl. Math. 116, No. 1, 35--95 (2006; Zbl 1145.35388) Full Text: DOI
Kolokolnikov, Theodore; Sun, Wentao; Ward, Michael; Wei, Juncheng The stability of a stripe for the Gierer-Meinhardt model and the effect of saturation. (English) Zbl 1210.35016 SIAM J. Appl. Dyn. Syst. 5, No. 2, 313-363 (2006). MSC: 35B25 35K57 35P30 37N25 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., SIAM J. Appl. Dyn. Syst. 5, No. 2, 313--363 (2006; Zbl 1210.35016) Full Text: DOI Link
D’Aprile, Teresa; Wei, Juncheng Locating the boundary peaks of least-energy solutions to a singularly perturbed Dirichlet problem. (English) Zbl 1150.35006 Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 5, No. 2, 219-259 (2006). Reviewer: Giovanni Porru (Cagliari) MSC: 35B25 35J60 35J55 92C15 92C40 PDFBibTeX XMLCite \textit{T. D'Aprile} and \textit{J. Wei}, Ann. Sc. Norm. Super. Pisa, Cl. Sci. (5) 5, No. 2, 219--259 (2006; Zbl 1150.35006) Full Text: EuDML
D’Aprile, Teresa; Wei, Juncheng Boundary concentration in radial solutions to a system of semilinear elliptic equations. (English) Zbl 1165.35356 J. Lond. Math. Soc., II. Ser. 74, No. 2, 415-440 (2006). MSC: 35J55 35B25 35B40 35B45 PDFBibTeX XMLCite \textit{T. D'Aprile} and \textit{J. Wei}, J. Lond. Math. Soc., II. Ser. 74, No. 2, 415--440 (2006; Zbl 1165.35356) Full Text: DOI
D’Aprile, Teresa; Wei, Juncheng Layered solutions for a semilinear elliptic system in a ball. (English) Zbl 1103.35012 J. Differ. Equations 226, No. 1, 269-294 (2006). MSC: 35B25 35B40 35B45 35J55 92C15 PDFBibTeX XMLCite \textit{T. D'Aprile} and \textit{J. Wei}, J. Differ. Equations 226, No. 1, 269--294 (2006; Zbl 1103.35012) Full Text: DOI
Ni, Wei-Ming; Wei, Juncheng On positive solutions concentrating on spheres for the Gierer-Meinhardt system. (English) Zbl 1090.35023 J. Differ. Equations 221, No. 1, 158-189 (2006). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B25 35B40 35B45 35J55 92C15 92C40 PDFBibTeX XMLCite \textit{W.-M. Ni} and \textit{J. Wei}, J. Differ. Equations 221, No. 1, 158--189 (2006; Zbl 1090.35023) Full Text: DOI
Kolokolnikov, Theodore; Ward, Michael J.; Wei, Juncheng Pulse-splitting for some reaction-diffusion systems in one-space dimension. (English) Zbl 1145.35401 Stud. Appl. Math. 114, No. 2, 115-165 (2005). MSC: 35K57 35B25 35K50 92D25 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., Stud. Appl. Math. 114, No. 2, 115--165 (2005; Zbl 1145.35401) Full Text: DOI
Ren, Xiaofeng; Wei, Juncheng Wriggled lamellar solutions and their stability in the diblock copolymer problem. (English) Zbl 1136.35372 SIAM J. Math. Anal. 37, No. 2, 455-489 (2005). MSC: 35J60 82D60 35J55 34D15 45J05 35B25 35B32 47J15 PDFBibTeX XMLCite \textit{X. Ren} and \textit{J. Wei}, SIAM J. Math. Anal. 37, No. 2, 455--489 (2005; Zbl 1136.35372) Full Text: DOI
Kolokolnikov, Theodore; Ward, Michael J.; Wei, Juncheng The existence and stability of spike equilibria in the one-dimensional Gray – Scott model on a finite domain. (English) Zbl 1125.35048 Appl. Math. Lett. 18, No. 8, 951-956 (2005). MSC: 35K50 35B25 35B35 35K55 PDFBibTeX XMLCite \textit{T. Kolokolnikov} et al., Appl. Math. Lett. 18, No. 8, 951--956 (2005; Zbl 1125.35048) Full Text: DOI
Kolokolnikov, T.; Wei, J. On ring-like solutions for the Gray-Scott model: existence, instability and self-replicating rings. (English) Zbl 1085.35019 Eur. J. Appl. Math. 16, No. 2, 201-237 (2005). Reviewer: Denise Huet (Nancy) MSC: 35B25 35K57 35B35 35K45 35K50 PDFBibTeX XMLCite \textit{T. Kolokolnikov} and \textit{J. Wei}, Eur. J. Appl. Math. 16, No. 2, 201--237 (2005; Zbl 1085.35019) Full Text: DOI
Sleeman, B. D.; Ward, Michael J.; Wei, J. C. The existence and stability of spike patterns in a chemotaxis model. (English) Zbl 1073.35118 SIAM J. Appl. Math. 65, No. 3, 790-817 (2005). MSC: 35K57 35B25 35B35 35J55 92C17 PDFBibTeX XMLCite \textit{B. D. Sleeman} et al., SIAM J. Appl. Math. 65, No. 3, 790--817 (2005; Zbl 1073.35118) Full Text: DOI
Wei, Juncheng; Winter, Matthias Clustered spots in the FitzHugh-Nagumo system. (English) Zbl 1330.35022 J. Differ. Equations 213, No. 1, 121-145 (2005). MSC: 35B25 35J56 35B40 35B45 35Q92 92C15 92C40 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Differ. Equations 213, No. 1, 121--145 (2005; Zbl 1330.35022) Full Text: DOI
Wei, Juncheng Existence and stability of lamellar and wriggled lamellar solutions in the diblock copolymer problem. (English) Zbl 1125.35318 Chen, Hua (ed.) et al., Differential equations and asymptotic theory in mathematical physics. Lectures from the conference, Wuhan University, Hubei, China, October 20–29, 2003. Hackensack, NJ: World Scientific (ISBN 981-256-055-6/hbk). Series in Analysis 2, 365-378 (2004). MSC: 35B27 58E07 35J55 34D15 82D60 35B25 PDFBibTeX XMLCite \textit{J. Wei}, Ser. Anal. 2, 365--378 (2004; Zbl 1125.35318)
Wei, Juncheng; Winter, Matthias Existence and stability analysis of asymmetric patterns for the Gierer–Meinhardt system. (English) Zbl 1107.35049 J. Math. Pures Appl. (9) 83, No. 4, 433-476 (2004). MSC: 35J55 35B35 35B45 92C15 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, J. Math. Pures Appl. (9) 83, No. 4, 433--476 (2004; Zbl 1107.35049) Full Text: DOI
Wei, Juncheng; Winter, Matthias Asymmetric spotty patterns for the Gray-Scott model in \(\mathbb{R}^2\). (English) Zbl 1141.35401 Stud. Appl. Math. 110, No. 1, 63-102 (2003). MSC: 35K57 35B25 35J60 35K50 80A30 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, Stud. Appl. Math. 110, No. 1, 63--102 (2003; Zbl 1141.35401) Full Text: DOI
Wei, Juncheng; Winter, Matthias A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates. (English) Zbl 1065.35041 Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 6, 1529-1543 (2003). Reviewer: Boris A. Malomed (Tel Aviv) MSC: 35B25 35K57 35K50 92C15 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 13, No. 6, 1529--1543 (2003; Zbl 1065.35041) Full Text: DOI
Ward, M. J.; Wei, J. Hopf bifurction of spike solutions for the shadow Gierer-Meinhardt model. (English) Zbl 1063.35030 Eur. J. Appl. Math. 14, No. 6, 677-711 (2003). Reviewer: Jiaqi Mo (Wuhu) MSC: 35B32 35K57 35K50 37N25 35B25 PDFBibTeX XMLCite \textit{M. J. Ward} and \textit{J. Wei}, Eur. J. Appl. Math. 14, No. 6, 677--711 (2003; Zbl 1063.35030) Full Text: DOI
Ren, Xiaofeng; Wei, Juncheng On the spectra of three-dimensional lamellar solutions of the diblock copolymer problem. (English) Zbl 1055.35041 SIAM J. Math. Anal. 35, No. 1, 1-32 (2003). MSC: 35J50 35B35 34D15 34E05 35P20 82D60 PDFBibTeX XMLCite \textit{X. Ren} and \textit{J. Wei}, SIAM J. Math. Anal. 35, No. 1, 1--32 (2003; Zbl 1055.35041) Full Text: DOI
Ward, Michael J.; Wei, Juncheng The existence and stability of asymmetric spike patterns for the Schnakenberg model. (English) Zbl 1152.35397 Stud. Appl. Math. 109, No. 3, 229-264 (2002). MSC: 35K50 34B15 34E15 35B40 35K57 92C15 PDFBibTeX XMLCite \textit{M. J. Ward} and \textit{J. Wei}, Stud. Appl. Math. 109, No. 3, 229--264 (2002; Zbl 1152.35397) Full Text: DOI
Wei, Juncheng; Winter, Matthias On the two-dimensional Gierer-Meinhardt system with strong coupling. (English) Zbl 0955.35006 SIAM J. Math. Anal. 30, No. 6, 1241-1263 (1999). Reviewer: Otto Liess (Darmstadt) MSC: 35B25 92C40 35B40 35J55 92C15 35K50 PDFBibTeX XMLCite \textit{J. Wei} and \textit{M. Winter}, SIAM J. Math. Anal. 30, No. 6, 1241--1263 (1999; Zbl 0955.35006) Full Text: DOI
Wei, Juncheng On the interior spike solutions for some singular perturbation problems. (English) Zbl 0944.35021 Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 4, 849-874 (1998). Reviewer: Alberto Tesei (Roma) MSC: 35J55 35B25 35B65 PDFBibTeX XMLCite \textit{J. Wei}, Proc. R. Soc. Edinb., Sect. A, Math. 128, No. 4, 849--874 (1998; Zbl 0944.35021) Full Text: DOI