Cintra, Willian; Molina-Becerra, Mónica; Suárez, Antonio The Lotka-Volterra models with non-local reaction terms. (English) Zbl 1512.35245 Commun. Pure Appl. Anal. 21, No. 11, 3865-3886 (2022). MSC: 35J57 92D25 35A01 PDFBibTeX XMLCite \textit{W. Cintra} et al., Commun. Pure Appl. Anal. 21, No. 11, 3865--3886 (2022; Zbl 1512.35245) Full Text: DOI
Cintra, Willian; Montenegro, Marcelo; Suárez, Antonio The logistic equation with nonlinear advection term. (English) Zbl 1486.92151 Nonlinear Anal., Real World Appl. 65, Article ID 103503, 15 p. (2022). MSC: 92D25 92D40 35K57 35B09 PDFBibTeX XMLCite \textit{W. Cintra} et al., Nonlinear Anal., Real World Appl. 65, Article ID 103503, 15 p. (2022; Zbl 1486.92151) Full Text: DOI
Delgado, Manuel; Molina-Becerra, Mónica; Suárez, Antonio A logistic type equation in \(\mathbb{R}^N\) with a nonlocal reaction term via bifurcation method. (English) Zbl 1450.35046 J. Math. Anal. Appl. 493, No. 1, Article ID 124532, 19 p. (2021). MSC: 35B32 35J61 35R09 35B09 PDFBibTeX XMLCite \textit{M. Delgado} et al., J. Math. Anal. Appl. 493, No. 1, Article ID 124532, 19 p. (2021; Zbl 1450.35046) Full Text: DOI
Santos, Andrelino V.; Santos, João R. jun.; Suárez, Antonio Study of a class of generalized Schrödinger equations. (English) Zbl 1466.35103 Topol. Methods Nonlinear Anal. 56, No. 1, 173-195 (2020). MSC: 35J10 35J25 35J60 35A01 35A15 PDFBibTeX XMLCite \textit{A. V. Santos} et al., Topol. Methods Nonlinear Anal. 56, No. 1, 173--195 (2020; Zbl 1466.35103) Full Text: DOI arXiv Euclid
Cintra, Willian; Morales-Rodrigo, Cristian; Suárez, Antonio Non-standard bifurcation approach to nonlinear elliptic problems. (English) Zbl 1459.35153 Rend. Ist. Mat. Univ. Trieste 52, 91-112 (2020). MSC: 35J60 35B32 35A16 PDFBibTeX XMLCite \textit{W. Cintra} et al., Rend. Ist. Mat. Univ. Trieste 52, 91--112 (2020; Zbl 1459.35153) Full Text: DOI Link
Cintra, Willian; Santos Júnior, João R.; Siciliano, Gaetano; Suárez, Antonio Existence results of positive solutions for Kirchhoff type equations via bifurcation methods. (English) Zbl 1448.35216 Math. Z. 295, No. 3-4, 1143-1161 (2020). MSC: 35J62 35J25 PDFBibTeX XMLCite \textit{W. Cintra} et al., Math. Z. 295, No. 3--4, 1143--1161 (2020; Zbl 1448.35216) Full Text: DOI arXiv
Delgado, Manuel; Gayte, Inmaculada; Morales-Rodrigo, Cristian; Suárez, Antonio On a chemotaxis model with competitive terms arising in angiogenesis. (English) Zbl 1442.35468 Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 177-202 (2020). MSC: 35Q92 92C17 35K45 35K57 PDFBibTeX XMLCite \textit{M. Delgado} et al., Discrete Contin. Dyn. Syst., Ser. S 13, No. 2, 177--202 (2020; Zbl 1442.35468) Full Text: DOI
Figueiredo-Sousa, Tarcyana S.; Morales-Rodrigo, Cristian; Suárez, Antonio Some superlinear problems with nonlocal diffusion coefficient. (English) Zbl 1430.35086 J. Math. Anal. Appl. 482, No. 1, Article ID 123519, 25 p. (2020). MSC: 35J60 35J67 PDFBibTeX XMLCite \textit{T. S. Figueiredo-Sousa} et al., J. Math. Anal. Appl. 482, No. 1, Article ID 123519, 25 p. (2020; Zbl 1430.35086) Full Text: DOI
Cintra, W.; Morales-Rodrigo, C.; Suárez, A. Unilateral global bifurcation for a class of quasilinear elliptic systems and applications. (English) Zbl 1423.35025 J. Differ. Equations 267, No. 1, 619-657 (2019). Reviewer: Guowei Dai (Dalian) MSC: 35B32 35J57 35J62 47J15 47A13 92D25 35J87 35Q92 PDFBibTeX XMLCite \textit{W. Cintra} et al., J. Differ. Equations 267, No. 1, 619--657 (2019; Zbl 1423.35025) Full Text: DOI arXiv
Delgado, M.; Duarte, I. B. M.; Suárez, A. Positive solutions of a nonlocal singular elliptic equation by means of a non-standard bifurcation theory. (English) Zbl 1401.35074 J. Math. Anal. Appl. 469, No. 2, 897-915 (2019). MSC: 35J60 35B09 35B32 PDFBibTeX XMLCite \textit{M. Delgado} et al., J. Math. Anal. Appl. 469, No. 2, 897--915 (2019; Zbl 1401.35074) Full Text: DOI
Cintra, Willian; Morales-Rodrigo, Cristian; Suárez, Antonio Coexistence states in a cross-diffusion system of a predator-prey model with predator satiation term. (English) Zbl 1416.35104 Math. Models Methods Appl. Sci. 28, No. 11, 2131-2159 (2018). MSC: 35J47 35J62 92D25 PDFBibTeX XMLCite \textit{W. Cintra} et al., Math. Models Methods Appl. Sci. 28, No. 11, 2131--2159 (2018; Zbl 1416.35104) Full Text: DOI
Delgado, Manuel; Mendes Duarte, Ítalo Bruno; Suárez Fernández, Antonio Nonlocal elliptic system arising from the growth of cancer stem cells. (English) Zbl 1400.35103 Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1767-1795 (2018). MSC: 35J60 92B05 PDFBibTeX XMLCite \textit{M. Delgado} et al., Discrete Contin. Dyn. Syst., Ser. B 23, No. 4, 1767--1795 (2018; Zbl 1400.35103) Full Text: DOI
Figueiredo-Sousa, Tarcyana S.; Rodrigo-Morales, Cristian; Suárez, Antonio The influence of a metasolution on the behaviour of the logistic equation with nonlocal diffusion coefficient. (English) Zbl 1395.35020 Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 100, 26 p. (2018). MSC: 35B32 35B09 35J62 35J25 35R09 PDFBibTeX XMLCite \textit{T. S. Figueiredo-Sousa} et al., Calc. Var. Partial Differ. Equ. 57, No. 4, Paper No. 100, 26 p. (2018; Zbl 1395.35020) Full Text: DOI
Figueiredo-Sousa, Tarcyana S.; Morales-Rodrigo, Cristian; Suárez, Antonio A non-local non-autonomous diffusion problem: linear and sublinear cases. (English) Zbl 1386.35010 Z. Angew. Math. Phys. 68, No. 5, Paper No. 108, 20 p. (2017). MSC: 35B09 35B32 PDFBibTeX XMLCite \textit{T. S. Figueiredo-Sousa} et al., Z. Angew. Math. Phys. 68, No. 5, Paper No. 108, 20 p. (2017; Zbl 1386.35010) Full Text: DOI
Cintra, W.; Morales-Rodrigo, C.; Suárez, A. Refuge versus dispersion in the logistic equation. (English) Zbl 1364.35097 J. Differ. Equations 262, No. 11, 5606-5634 (2017). Reviewer: Alain Brillard (Riedisheim) MSC: 35J61 35J40 35B32 92D25 35B09 35Q92 PDFBibTeX XMLCite \textit{W. Cintra} et al., J. Differ. Equations 262, No. 11, 5606--5634 (2017; Zbl 1364.35097) Full Text: DOI Link
Alves, Claudianor O.; Delgado, Manuel; Souto, Marco A. S.; Suárez, Antonio Existence of positive solution of a nonlocal logistic population model. (English) Zbl 1326.35113 Z. Angew. Math. Phys. 66, No. 3, 943-953 (2015). Reviewer: Dagmar Medková (Praha) MSC: 35J25 92B05 35B09 PDFBibTeX XMLCite \textit{C. O. Alves} et al., Z. Angew. Math. Phys. 66, No. 3, 943--953 (2015; Zbl 1326.35113) Full Text: DOI Link
Ramos Quoirin, Humberto; Suárez, Antonio Positive solutions for some indefinite nonlinear eigenvalue elliptic problems with Robin boundary conditions. (English) Zbl 1402.35197 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 114, 74-86 (2015). MSC: 35P30 35B09 35B32 35B51 35J91 PDFBibTeX XMLCite \textit{H. Ramos Quoirin} and \textit{A. Suárez}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 114, 74--86 (2015; Zbl 1402.35197) Full Text: DOI Link
Figueiredo, Giovany M.; Morales-Rodrigo, Cristian; Santos Júnior, João R.; Suárez, Antonio Study of a nonlinear Kirchhoff equation with non-homogeneous material. (English) Zbl 1312.35108 J. Math. Anal. Appl. 416, No. 2, 597-608 (2014). MSC: 35J62 35R09 35B32 PDFBibTeX XMLCite \textit{G. M. Figueiredo} et al., J. Math. Anal. Appl. 416, No. 2, 597--608 (2014; Zbl 1312.35108) Full Text: DOI
Corrêa, Francisco Julio S. A.; Suárez, Antonio Combining local and nonlocal terms in a nonlinear elliptic problem. (English) Zbl 1237.35050 Math. Methods Appl. Sci. 35, No. 5, 547-563 (2012). MSC: 35J60 35B09 35B32 35B35 PDFBibTeX XMLCite \textit{F. J. S. A. Corrêa} and \textit{A. Suárez}, Math. Methods Appl. Sci. 35, No. 5, 547--563 (2012; Zbl 1237.35050) Full Text: DOI Link
Delgado, Manuel; Gayte, Inmaculada; Morales-Rodrigo, Cristian; Suárez, Antonio An angiogenesis model with nonlinear chemotactic response and flux at the tumor boundary. (English) Zbl 1254.35127 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 330-347 (2010). MSC: 35K61 92C17 35B32 35B35 PDFBibTeX XMLCite \textit{M. Delgado} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 1, 330--347 (2010; Zbl 1254.35127) Full Text: DOI Link
Delgado, M.; Montenegro, M.; Suárez, A. A Lotka-Volterra symbiotic model with cross-diffusion. (English) Zbl 1169.35008 J. Differ. Equations 246, No. 5, 2131-2149 (2009). Reviewer: Yaping Liu (Pittsburg) MSC: 35B45 35J55 PDFBibTeX XMLCite \textit{M. Delgado} et al., J. Differ. Equations 246, No. 5, 2131--2149 (2009; Zbl 1169.35008) Full Text: DOI
García-Melián, J.; Morales-Rodrigo, C.; Rossi, Julio D.; Suárez, A. Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary. (English) Zbl 1150.35011 Ann. Mat. Pura Appl. (4) 187, No. 3, 459-486 (2008). Reviewer: Lubomira Softova (Bari) MSC: 35B32 35J25 35J65 PDFBibTeX XMLCite \textit{J. García-Melián} et al., Ann. Mat. Pura Appl. (4) 187, No. 3, 459--486 (2008; Zbl 1150.35011) Full Text: DOI Link
Delgado, Manuel; Suárez, Antonio Study of an elliptic system arising from angiogenesis with chemotaxis and flux at the boundary. (English) Zbl 1179.35116 J. Differ. Equations 244, No. 12, 3119-3150 (2008). Reviewer: Eugen Mamontov (Gothenburg) MSC: 35J57 35Q92 92C17 35B35 35B09 PDFBibTeX XMLCite \textit{M. Delgado} and \textit{A. Suárez}, J. Differ. Equations 244, No. 12, 3119--3150 (2008; Zbl 1179.35116) Full Text: DOI Link
Delgado, Manuel; Molina-Becerra, Mónica; Suárez, Antonio Nonlinear age-dependent diffusive equations: A bifurcation approach. (English) Zbl 1145.35019 J. Differ. Equations 244, No. 9, 2133-2155 (2008). MSC: 35B32 35K57 35J65 92D25 PDFBibTeX XMLCite \textit{M. Delgado} et al., J. Differ. Equations 244, No. 9, 2133--2155 (2008; Zbl 1145.35019) Full Text: DOI Link
García-Melián, Jorge; Rossi, Julio D.; Suárez, Antonio The competition between incoming and outgoing fluxes in an elliptic problem. (English) Zbl 1147.35039 Commun. Contemp. Math. 9, No. 6, 781-810 (2007). Reviewer: Jiaqi Mo (Wuhu) MSC: 35J65 35B32 35B30 35J20 PDFBibTeX XMLCite \textit{J. García-Melián} et al., Commun. Contemp. Math. 9, No. 6, 781--810 (2007; Zbl 1147.35039) Full Text: DOI
Delgado, Manuel; Suárez, Antonio On the existence and multiplicity of positive solutions for some indefinite nonlinear eigenvalue problem. (English) Zbl 1129.35054 Proc. Am. Math. Soc. 132, No. 6, 1721-1728 (2004). MSC: 35P30 35B35 35J60 47J10 PDFBibTeX XMLCite \textit{M. Delgado} and \textit{A. Suárez}, Proc. Am. Math. Soc. 132, No. 6, 1721--1728 (2004; Zbl 1129.35054) Full Text: DOI
Delgado, M.; Suárez, A. Nonnegative solutions for the degenerate logistic indefinite sublinear equation. (English) Zbl 1087.35036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 1, 127-141 (2003). Reviewer: Ramzet M. Dzhafarov (Donetsk) MSC: 35J60 35B05 35J25 35J70 47J15 PDFBibTeX XMLCite \textit{M. Delgado} and \textit{A. Suárez}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 52, No. 1, 127--141 (2003; Zbl 1087.35036) Full Text: DOI
Delgado, M.; López-Gómez, J.; Suárez, A. On the symbiotic Lotka-Volterra model with diffusion and transport effects. (English) Zbl 0948.35040 J. Differ. Equations 160, No. 1, 175-262 (2000). Reviewer: Antonio Cañada (Granada) MSC: 35J55 92D25 47J15 PDFBibTeX XMLCite \textit{M. Delgado} et al., J. Differ. Equations 160, No. 1, 175--262 (2000; Zbl 0948.35040) Full Text: DOI