Umezu, Kenichiro Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting. II. (English) Zbl 07802031 J. Math. Anal. Appl. 534, No. 1, Article ID 128134, 22 p. (2024). MSC: 35J91 35J05 35J66 35A02 PDFBibTeX XMLCite \textit{K. Umezu}, J. Math. Anal. Appl. 534, No. 1, Article ID 128134, 22 p. (2024; Zbl 07802031) Full Text: DOI arXiv
Umezu, Kenichiro Uniqueness of a positive solution for the Laplace equation with indefinite superlinear boundary condition. (English) Zbl 1511.35105 J. Differ. Equations 350, 124-151 (2023). MSC: 35J05 35J25 35A02 PDFBibTeX XMLCite \textit{K. Umezu}, J. Differ. Equations 350, 124--151 (2023; Zbl 1511.35105) Full Text: DOI arXiv
Umezu, Kenichiro Logistic elliptic equation with a nonlinear boundary condition arising from coastal fishery harvesting. (English) Zbl 1506.35099 Nonlinear Anal., Real World Appl. 70, Article ID 103788, 29 p. (2023). MSC: 35J91 35J05 35J66 35A01 PDFBibTeX XMLCite \textit{K. Umezu}, Nonlinear Anal., Real World Appl. 70, Article ID 103788, 29 p. (2023; Zbl 1506.35099) Full Text: DOI arXiv
Kaufmann, Uriel; Ramos Quoirin, Humberto; Umezu, Kenichiro Nonnegative solutions of an indefinite sublinear Robin problem. I: positivity, exact multiplicity, and existence of a subcontinuum. (English) Zbl 1448.35249 Ann. Mat. Pura Appl. (4) 199, No. 5, 2015-2038 (2020). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J91 35J25 35B32 35A01 PDFBibTeX XMLCite \textit{U. Kaufmann} et al., Ann. Mat. Pura Appl. (4) 199, No. 5, 2015--2038 (2020; Zbl 1448.35249) Full Text: DOI arXiv
Ramos Quoirin, Humberto; Umezu, Kenichiro An elliptic equation with an indefinite sublinear boundary condition. (English) Zbl 1419.35063 Adv. Nonlinear Anal. 8, 175-192 (2019). MSC: 35J91 35J25 35B09 PDFBibTeX XMLCite \textit{H. Ramos Quoirin} and \textit{K. Umezu}, Adv. Nonlinear Anal. 8, 175--192 (2019; Zbl 1419.35063) Full Text: DOI
Kaufmann, Uriel; Ramos Quoirin, Humberto; Umezu, Kenichiro Positive solutions of an elliptic Neumann problem with a sublinear indefinite nonlinearity. (English) Zbl 1391.35159 NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 2, Paper No. 12, 34 p. (2018). MSC: 35J91 35B09 35J25 PDFBibTeX XMLCite \textit{U. Kaufmann} et al., NoDEA, Nonlinear Differ. Equ. Appl. 25, No. 2, Paper No. 12, 34 p. (2018; Zbl 1391.35159) Full Text: DOI arXiv
Ramos Quoirin, Humberto; Umezu, Kenichiro An indefinite concave-convex equation under a Neumann boundary condition. I. (English) Zbl 1376.35034 Isr. J. Math. 220, No. 1, 103-160 (2017). Reviewer: Dumitru Motreanu (Juiz de Fora) MSC: 35J25 35J61 PDFBibTeX XMLCite \textit{H. Ramos Quoirin} and \textit{K. Umezu}, Isr. J. Math. 220, No. 1, 103--160 (2017; Zbl 1376.35034) Full Text: DOI arXiv
Ramos Quoirin, Humberto; Umezu, Kenichiro Positive steady states of an indefinite equation with a nonlinear boundary condition: existence, multiplicity, stability and asymptotic profiles. (English) Zbl 1357.35108 Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 102, 47 p. (2016). Reviewer: Dumitru Motreanu (Perpignan) MSC: 35J20 35J25 35J61 35B32 35P30 35B09 35J66 PDFBibTeX XMLCite \textit{H. Ramos Quoirin} and \textit{K. Umezu}, Calc. Var. Partial Differ. Equ. 55, No. 4, Paper No. 102, 47 p. (2016; Zbl 1357.35108) Full Text: DOI arXiv
Ramos Quoirin, Humberto; Umezu, Kenichiro On a concave-convex elliptic problem with a nonlinear boundary condition. (English) Zbl 1359.35042 Ann. Mat. Pura Appl. (4) 195, No. 6, 1833-1863 (2016). Reviewer: Florin Catrina (New York) MSC: 35J25 35J61 35B35 35B09 35B51 35J20 35B32 PDFBibTeX XMLCite \textit{H. Ramos Quoirin} and \textit{K. Umezu}, Ann. Mat. Pura Appl. (4) 195, No. 6, 1833--1863 (2016; Zbl 1359.35042) Full Text: DOI
Ramos Quoirin, Humberto; Umezu, Kenichiro Bifurcation for a logistic elliptic equation with nonlinear boundary conditions: a limiting case. (English) Zbl 1318.35046 J. Math. Anal. Appl. 428, No. 2, 1265-1285 (2015). MSC: 35J66 35B32 37K50 35B09 PDFBibTeX XMLCite \textit{H. Ramos Quoirin} and \textit{K. Umezu}, J. Math. Anal. Appl. 428, No. 2, 1265--1285 (2015; Zbl 1318.35046) Full Text: DOI
Ramos Quoirin, Humberto; Umezu, Kenichiro The effects of indefinite nonlinear boundary conditions on the structure of the positive solutions set of a logistic equation. (English) Zbl 1304.35250 J. Differ. Equations 257, No. 11, 3935-3977 (2014). Reviewer: Florin Catrina (New York) MSC: 35J25 35J61 35B32 35P30 35B40 35J20 PDFBibTeX XMLCite \textit{H. Ramos Quoirin} and \textit{K. Umezu}, J. Differ. Equations 257, No. 11, 3935--3977 (2014; Zbl 1304.35250) Full Text: DOI arXiv
Umezu, Kenichiro Global structure of supercritical bifurcation with turning points for the logistic elliptic equation with nonlinear boundary conditions. (English) Zbl 1283.35027 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 250-266 (2013). MSC: 35J25 35J61 35B32 35P30 92D25 PDFBibTeX XMLCite \textit{K. Umezu}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 89, 250--266 (2013; Zbl 1283.35027) Full Text: DOI
Umezu, Kenichiro Bifurcation approach to a logistic elliptic equation with a homogeneous incoming flux boundary condition. (English) Zbl 1235.35127 J. Differ. Equations 252, No. 2, 1146-1168 (2012). Reviewer: Chun-Lei Tang (Chongqing) MSC: 35J61 35B09 35J25 35B32 PDFBibTeX XMLCite \textit{K. Umezu}, J. Differ. Equations 252, No. 2, 1146--1168 (2012; Zbl 1235.35127) Full Text: DOI
Umezu, Kenichiro Global bifurcation results for semilinear elliptic boundary value problems with indefinite weights and nonlinear boundary conditions. (English) Zbl 1191.35140 NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 3, 323-336 (2010). MSC: 35J66 35B32 35B45 35B09 92D25 PDFBibTeX XMLCite \textit{K. Umezu}, NoDEA, Nonlinear Differ. Equ. Appl. 17, No. 3, 323--336 (2010; Zbl 1191.35140) Full Text: DOI