Castro, Alfonso; Pardo, Rosa A priori estimates for positive solutions to subcritical elliptic problems in a class of non-convex regions. (English) Zbl 1366.35010 Discrete Contin. Dyn. Syst., Ser. B 22, No. 3, 783-790 (2017). MSC: 35B45 35B09 35B33 35J25 35J60 PDFBibTeX XMLCite \textit{A. Castro} and \textit{R. Pardo}, Discrete Contin. Dyn. Syst., Ser. B 22, No. 3, 783--790 (2017; Zbl 1366.35010) Full Text: DOI
Castro, Alfonso; de Figueredo, Djairo G.; Lopera, Emer Existence of positive solutions for a semipositone \(p\)-Laplacian problem. (English) Zbl 1358.35045 Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 3, 475-482 (2016). Reviewer: Dian K. Palagachev (Bari) MSC: 35J92 35J20 35J60 35B09 35B45 35D30 35B51 PDFBibTeX XMLCite \textit{A. Castro} et al., Proc. R. Soc. Edinb., Sect. A, Math. 146, No. 3, 475--482 (2016; Zbl 1358.35045) Full Text: DOI
Pardo, Rosa; Castro, Alfonso Branches of positive solutions of subcritical elliptic equations in convex domains. (English) Zbl 1341.35034 Discrete Contin. Dyn. Syst. 2015, Suppl., 230-238 (2015). MSC: 35J25 35B45 35B09 35B33 35J60 PDFBibTeX XMLCite \textit{R. Pardo} and \textit{A. Castro}, Discrete Contin. Dyn. Syst. 2015, 230--238 (2015; Zbl 1341.35034) Full Text: DOI
Caicedo, José; Castro, Alfonso; Duque, Rodrigo; Sanjuán, Arturo Existence of \(L^p\)-solutions for a semilinear wave equation with non-monotone nonlinearity. (English) Zbl 1304.35424 Discrete Contin. Dyn. Syst., Ser. S 7, No. 6, 1193-1202 (2014). MSC: 35L71 35P30 35B34 PDFBibTeX XMLCite \textit{J. Caicedo} et al., Discrete Contin. Dyn. Syst., Ser. S 7, No. 6, 1193--1202 (2014; Zbl 1304.35424) Full Text: DOI
Castro, Alfonso; Cossio, Jorge; Vélez, Carlos Existence and qualitative properties of solutions for nonlinear Dirichlet problems. (English) Zbl 1266.35091 Discrete Contin. Dyn. Syst. 33, No. 1, 123-140 (2013). MSC: 35J66 35J20 35B38 35J61 PDFBibTeX XMLCite \textit{A. Castro} et al., Discrete Contin. Dyn. Syst. 33, No. 1, 123--140 (2013; Zbl 1266.35091) Full Text: DOI
Castro, Alfonso; Pardo, Rosa Resonant solutions and turning points in an elliptic problem with oscillatory boundary conditions. (English) Zbl 1248.35016 Pac. J. Math. 257, No. 1, 75-90 (2012). MSC: 35B34 35B32 35B35 35J25 58J55 35J60 35J65 PDFBibTeX XMLCite \textit{A. Castro} and \textit{R. Pardo}, Pac. J. Math. 257, No. 1, 75--90 (2012; Zbl 1248.35016) Full Text: DOI Link
Castro, Alfonso; Chang, Chen A variational characterization of the Fucík spectrum and applications. (English) Zbl 1219.35064 Rev. Colomb. Mat. 44, No. 1, 23-40 (2010). MSC: 35J20 35J25 35J60 PDFBibTeX XMLCite \textit{A. Castro} and \textit{C. Chang}, Rev. Colomb. Mat. 44, No. 1, 23--40 (2010; Zbl 1219.35064) Full Text: EuDML EMIS
Caicedo, José F.; Castro, Alfonso A semilinear wave equation with smooth data and no resonance having no continuous solution. (English) Zbl 1177.35137 Discrete Contin. Dyn. Syst. 24, No. 3, 653-658 (2009). MSC: 35L70 35B15 PDFBibTeX XMLCite \textit{J. F. Caicedo} and \textit{A. Castro}, Discrete Contin. Dyn. Syst. 24, No. 3, 653--658 (2009; Zbl 1177.35137) Full Text: DOI
Aduén, Hugo; Castro, Alfonso; Cossio, Jorge Uniqueness of large radial solutions and existence of nonradial solutions for a superlinear Dirichlet problem in annulii. (English) Zbl 1216.35046 J. Math. Anal. Appl. 337, No. 1, 348-359 (2008). MSC: 35J61 35J25 35A01 35B38 35J20 58E05 PDFBibTeX XMLCite \textit{H. Aduén} et al., J. Math. Anal. Appl. 337, No. 1, 348--359 (2008; Zbl 1216.35046) Full Text: DOI
Caldwell, Scott; Castro, Alfonso; Shivaji, Ratnasingham; Unsurangsie, Sumalee Positive solutions for classes of multiparameter elliptic semipositone problems. (English) Zbl 1133.35035 Electron. J. Differ. Equ. 2007, Paper No. 96, 10 p. (2007). MSC: 35J20 35J65 PDFBibTeX XMLCite \textit{S. Caldwell} et al., Electron. J. Differ. Equ. 2007, Paper No. 96, 10 p. (2007; Zbl 1133.35035) Full Text: EuDML EMIS
Castro, Alfonso; Cossio, Jorge Construction of a radial solution to a superlinear Dirichlet problem that changes sign exactly once. (English) Zbl 1131.35328 Cazenave, Thierry (ed.) et al., Contributions to nonlinear analysis. A tribute to D. G. de Figueiredo on the occasion of his 70th birthday. Basel: Birkhäuser (ISBN 3-7643-7149-8/hbk). Progress in Nonlinear Differential Equations and their Applications 66, 149-160 (2006). MSC: 35J60 34-04 34B15 35-04 35B05 35J25 PDFBibTeX XMLCite \textit{A. Castro} and \textit{J. Cossio}, Prog. Nonlinear Differ. Equ. Appl. 66, 149--160 (2006; Zbl 1131.35328)
Castro, Alfonso; Clapp, Mónica Upper estimates for the energy of solutions of nonhomogeneous boundary value problems. (English) Zbl 1137.35357 Proc. Am. Math. Soc. 134, No. 1, 167-175 (2006). MSC: 35J60 35J20 58E05 34B15 PDFBibTeX XMLCite \textit{A. Castro} and \textit{M. Clapp}, Proc. Am. Math. Soc. 134, No. 1, 167--175 (2006; Zbl 1137.35357) Full Text: DOI
Castro, Alfonso Semilinear equations with discrete spectrum. (English) Zbl 1162.35366 Neuberger, John M. (ed.), Variational methods: open problems, recent progress, and numerical algorithms.; Proceedings of the conference, Northern Arizona University, Flagstaff, AZ, USA, June 5–8, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3339-1/pbk). Contemporary Mathematics 357, 1-16 (2004). Reviewer: Messoud A. Efendiev (Berlin) MSC: 35J60 35L70 45G10 PDFBibTeX XMLCite \textit{A. Castro}, Contemp. Math. 357, 1--16 (2004; Zbl 1162.35366)
Castro, Alfonso; Clapp, Mónica The effect of the domain topology on the number of minimal nodal solutions of an elliptic equation at critical growth in a symmetric domain. (English) Zbl 1108.35054 Nonlinearity 16, No. 2, 579-590 (2003). MSC: 35J60 35B33 35J20 47J15 58E05 PDFBibTeX XMLCite \textit{A. Castro} and \textit{M. Clapp}, Nonlinearity 16, No. 2, 579--590 (2003; Zbl 1108.35054) Full Text: DOI Link
Castro, Alfonso; Drábek, Pavel; Neuberger, John M. A sign-changing solution for a superlinear Dirichlet problem. II. (English) Zbl 1109.35333 Electron. J. Differ. Equ. 2003, Conf. 10, 101-107 (2003). MSC: 35J60 35J20 35J25 58E05 PDFBibTeX XMLCite \textit{A. Castro} et al., Electron. J. Differ. Equ. 2003, 101--107 (2003; Zbl 1109.35333) Full Text: EuDML EMIS
Aduén, Hugo; Castro, Alfonso Infinitely many nonradial solutions to a superlinear Dirichlet problem. (English) Zbl 1082.35065 Proc. Am. Math. Soc. 131, No. 3, 835-843 (2003). MSC: 35J60 34B15 35J20 35J65 PDFBibTeX XMLCite \textit{H. Aduén} and \textit{A. Castro}, Proc. Am. Math. Soc. 131, No. 3, 835--843 (2003; Zbl 1082.35065) Full Text: DOI
Castro, Alfonso; Cossio, Jorge Invariance of the Leray-Schauder degree under the reduction method. (Spanish. English summary) Zbl 1079.47511 Lect. Mat. 21, No. 2, 91-100 (2000). MSC: 47H11 35J20 35J25 35J60 47N20 58C30 PDFBibTeX XMLCite \textit{A. Castro} and \textit{J. Cossio}, Lect. Mat. 21, No. 2, 91--100 (2000; Zbl 1079.47511)
Castro, Alfonso; Finan, Marcel B. Existence of many positive nonradial solutions for a superlinear Dirichlet problem on thin annuli. (English) Zbl 0959.35060 Electron. J. Differ. Equ. 2000, Conf. 05, 21-31 (2000). MSC: 35J65 35J25 35A15 35B38 35A05 PDFBibTeX XMLCite \textit{A. Castro} and \textit{M. B. Finan}, Electron. J. Differ. Equ. 2000, 21--31 (2000; Zbl 0959.35060) Full Text: EuDML EMIS
Castro, Alfonso; Gadam, Sudhasree; Shivaji, R. Evolution of positive solution curves in semipositone problems with concave nonlinearities. (English) Zbl 0985.34014 J. Math. Anal. Appl. 245, No. 1, 282-293 (2000). Reviewer: Nikolai L.Vulchanov (Warszawa) MSC: 34B15 34L30 PDFBibTeX XMLCite \textit{A. Castro} et al., J. Math. Anal. Appl. 245, No. 1, 282--293 (2000; Zbl 0985.34014) Full Text: DOI Link
Castro, Alfonso; Finan, Marcel B. Existence of many sign-changing nonradial solutions for semilinear elliptic problems on thin annuli. (English) Zbl 0952.35055 Topol. Methods Nonlinear Anal. 13, No. 2, 273-279 (1999). Reviewer: J.V.A.Goncalves (Brasilia) MSC: 35J65 35J25 35J60 PDFBibTeX XMLCite \textit{A. Castro} and \textit{M. B. Finan}, Topol. Methods Nonlinear Anal. 13, No. 2, 273--279 (1999; Zbl 0952.35055) Full Text: DOI
Castro, Alfonso; Shivaji, R. Positive solutions for a concave semipositone Dirichlet problem. (English) Zbl 0910.34034 Nonlinear Anal., Theory Methods Appl. 31, No. 1-2, 91-98 (1998). Reviewer: Patricia J.Y.Wong (Singapore) MSC: 34B15 35J25 PDFBibTeX XMLCite \textit{A. Castro} and \textit{R. Shivaji}, Nonlinear Anal., Theory Methods Appl. 31, No. 1--2, 91--98 (1998; Zbl 0910.34034) Full Text: DOI
Castro, Alfonso; Cossio, Jorge; Neuberger, John M. A minimax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems. (English) Zbl 0901.35028 Electron. J. Differ. Equ. 1998, Paper 2, 18 p. (1998). MSC: 35J65 35J20 PDFBibTeX XMLCite \textit{A. Castro} et al., Electron. J. Differ. Equ. 1998, Paper 2, 18 p. (1998; Zbl 0901.35028) Full Text: EuDML EMIS
Castro, Alfonso; Cossio, Jorge; Neuberger, John M. A sign-changing solution for a superlinear Dirichlet problem. (English) Zbl 0907.35050 Rocky Mt. J. Math. 27, No. 4, 1041-1053 (1997). Reviewer: Klaus Pflüger (Berlin) MSC: 35J66 35J20 35J61 PDFBibTeX XMLCite \textit{A. Castro} et al., Rocky Mt. J. Math. 27, No. 4, 1041--1053 (1997; Zbl 0907.35050) Full Text: DOI Link
Castro, Alfonso; Cossio, Jorge; Neuberger, John M. On multiple solutions of a nonlinear Dirichlet problem. (English) Zbl 0888.35038 Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3657-3662 (1997). MSC: 35J65 35J20 PDFBibTeX XMLCite \textit{A. Castro} et al., Nonlinear Anal., Theory Methods Appl. 30, No. 6, 3657--3662 (1997; Zbl 0888.35038) Full Text: DOI
Caicedo, Jose F.; Castro, Alfonso A semilinear wave equation with derivative of nonlinearity containing multiple eigenvalues of infinite multiplicity. (English) Zbl 0888.35061 Harper, Lawrence H. (ed.) et al., Harmonic analysis and nonlinear differential equations. A volume in honor of Victor L. Shapiro. Proceedings of a conference, Riverside, CA, USA, November 3–5, 1995. Providence, RI: American Mathematical Society. Contemp. Math. 208, 111-132 (1997). MSC: 35L20 35L70 35B10 47J25 PDFBibTeX XMLCite \textit{J. F. Caicedo} and \textit{A. Castro}, Contemp. Math. 208, 111--132 (1997; Zbl 0888.35061)
Castro, Alfonso; Cossio, Jorge Multiple solutions for a nonlinear Dirichlet problem. (English) Zbl 0807.35039 SIAM J. Math. Anal. 25, No. 6, 1554-1561 (1994). MSC: 35J65 35J20 PDFBibTeX XMLCite \textit{A. Castro} and \textit{J. Cossio}, SIAM J. Math. Anal. 25, No. 6, 1554--1561 (1994; Zbl 0807.35039) Full Text: DOI
Castro, Alfonso; Unsurangsie, Sumalee A semilinear wave equation with nonmonotone nonlinearity. (English) Zbl 0699.35176 Pac. J. Math. 132, No. 2, 215-225 (1988). Reviewer: L.Brüll MSC: 35L70 35A05 PDFBibTeX XMLCite \textit{A. Castro} and \textit{S. Unsurangsie}, Pac. J. Math. 132, No. 2, 215--225 (1988; Zbl 0699.35176) Full Text: DOI
Castro, Alfonso; Shivaji, R. Multiple solutions for a Dirichlet problem with jumping nonlinearities. II. (English) Zbl 0695.34018 J. Math. Anal. Appl. 133, No. 2, 509-528 (1988). Reviewer: S.Mirica MSC: 34B15 34A12 34C10 PDFBibTeX XMLCite \textit{A. Castro} and \textit{R. Shivaji}, J. Math. Anal. Appl. 133, No. 2, 509--528 (1988; Zbl 0695.34018) Full Text: DOI
Castro, Alfonso; Khajeh-Khalili, Parviz Addendum to: Existence and uniqueness of solutions to nonlinear dissipative wave equations. (English) Zbl 0658.35063 Nonlinear Anal., Theory Methods Appl. 10, 1485-1486 (1986). Reviewer: J.H.Tian MSC: 35L70 35A05 35B65 PDFBibTeX XMLCite \textit{A. Castro} and \textit{P. Khajeh-Khalili}, Nonlinear Anal., Theory Methods Appl. 10, 1485--1486 (1986; Zbl 0658.35063) Full Text: DOI
Castro, Alfonso; Shivaji, Ratnasingham Uniqueness of positive solutions for a class of elliptic boundary value problems. (English) Zbl 0558.35025 Proc. R. Soc. Edinb., Sect. A 98, 267-269 (1984). Reviewer: S.Lenhart MSC: 35J65 35A05 35J25 35B50 35B45 PDFBibTeX XMLCite \textit{A. Castro} and \textit{R. Shivaji}, Proc. R. Soc. Edinb., Sect. A, Math. 98, 267--269 (1984; Zbl 0558.35025) Full Text: DOI
Castro, Alfonso; Lazer, Alan C. Results on periodic solutions of parabolic equations suggested by elliptic theory. (English) Zbl 0501.35005 Boll. Unione Mat. Ital., VI. Ser., B 1, 1089-1104 (1982). MSC: 35B10 35K60 35K20 PDFBibTeX XMLCite \textit{A. Castro} and \textit{A. C. Lazer}, Boll. Unione Mat. Ital., VI. Ser., B 1, 1089--1104 (1982; Zbl 0501.35005)
Bates, Peter W.; Castro, Alfonso Necessary and sufficient conditions for existence of solutions to equations with noninvertible linear part. (English) Zbl 0473.47048 Rev. Colomb. Mat. 15, 7-24 (1981). MSC: 47J05 35J20 34B15 47J25 PDFBibTeX XMLCite \textit{P. W. Bates} and \textit{A. Castro}, Rev. Colomb. Mat. 15, 7--24 (1981; Zbl 0473.47048) Full Text: EuDML
Bates, Peter W.; Castro, Alfonso Existence and uniqueness for a variational hyperbolic system without resonance. (English) Zbl 0456.35051 Nonlinear Anal., Theory Methods Appl. 4, 1151-1156 (1980). MSC: 35L20 35L70 65N30 PDFBibTeX XMLCite \textit{P. W. Bates} and \textit{A. Castro}, Nonlinear Anal., Theory Methods Appl. 4, 1151--1156 (1980; Zbl 0456.35051) Full Text: DOI
Castro, Alfonso A semilinear Dirichlet problem. (English) Zbl 0402.35049 Can. J. Math. 31, 337-340 (1979). MSC: 35J65 35P05 35J60 35J25 PDFBibTeX XMLCite \textit{A. Castro}, Can. J. Math. 31, 337--340 (1979; Zbl 0402.35049) Full Text: DOI
Kružkov, S. N.; Castro, Alfonso; Lopez Morales, Martin Schauder-type estimates and existence theorems for the solution of basic problems for linear and nonlinear parabolic equations. (English. Russian original) Zbl 0343.35044 Sov. Math., Dokl. 16, 60-64 (1975); translation from Dokl. Akad. Nauk SSSR 220, 277-280 (1975). MSC: 35K55 35K15 35K20 35B45 PDFBibTeX XMLCite \textit{S. N. Kružkov} et al., Sov. Math., Dokl. 16, 60--64 (1975; Zbl 0343.35044); translation from Dokl. Akad. Nauk SSSR 220, 277--280 (1975)