Edit Profile (opens in new tab) Castro, Alfonso Co-Author Distance Author ID: castro.alfonso Published as: Castro, Alfonso; Castro, A. Homepage: https://www.hmc.edu/mathematics/people/faculty/alfonso-castro/ External Links: MGP Documents Indexed: 111 Publications since 1975, including 1 Book Co-Authors: 55 Co-Authors with 95 Joint Publications 587 Co-Co-Authors all top 5 Co-Authors 14 single-authored 23 Shivaji, Ratnasingham 14 Cossio, Jorge 8 Pardo, Rosa M. 7 Caicedo, Jose F. 5 Kurepa, Alexandra 5 Vélez, Carlos Augusto 4 Gadam, Sudhasree 4 Lazer, Alan C. 4 Neuberger, John M. 3 Duque, Rodrigo 3 Herrón, Sigifredo 3 Maya, C. 3 Neuberger, John W. 3 Sanjuán, Arturo 2 Aduén, Hugo 2 Ali, Ismail 2 Bates, Peter W. 2 Chang, Chen 2 Clapp, Mónica 2 Finan, Marcel B. 2 Padrón, Víctor 2 Unsurangsie, Sumalee 2 Ventura, Ivan 1 Anuradha, V. 1 Ardila, Víctor 1 Arias, Eduardo 1 Brown, Kenneth J. 1 Calahorrano, Marco 1 Caldwell, Scott 1 Cardeno, Juan C. 1 Chhetri, Maya 1 Costa, David Goldstein 1 de Figueredo, Djairo G. 1 De Paula, Wayne 1 Drábek, Pavel 1 Fischer, Emily M. 1 Frederico, Tobias 1 Garner, Jackie B. 1 Gokhman, Dmitry 1 Hassanpour, M. 1 Khajeh-Khalili, Parviz 1 Ko, Eunkyung 1 Kruzhkov, Stanislav Nicolayevich 1 Kuiper, Hendrik J. 1 Kwon, John 1 Lopera, Emer 1 López Morales, Martín 1 Mansur, Webe Joao 1 Mavinga, Nsoki Mamie 1 Navarro, Jaime 1 Preskill, Benjamin 1 Reyes, Guillermo 1 Salmè, Giovanni 1 Sankar, Lakshmi N. 1 Shivaij, R. 1 Song, Shuzhi 1 Sudhasree, Gadam 1 Tan, Chee Meng 1 Taqi, Ismaiel all top 5 Serials 10 Electronic Journal of Differential Equations (EJDE) 7 Revista Colombiana de Matemáticas 6 Proceedings of the American Mathematical Society 6 Discrete and Continuous Dynamical Systems 6 Nonlinear Analysis. Theory, Methods & Applications 5 Journal of Mathematical Analysis and Applications 5 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 4 Transactions of the American Mathematical Society 4 Topological Methods in Nonlinear Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 2 Pacific Journal of Mathematics 2 Differential and Integral Equations 2 Dynamic Systems and Applications 2 Communications in Partial Differential Equations 2 SIAM Journal on Mathematical Analysis 2 Milan Journal of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 1 Applicable Analysis 1 Houston Journal of Mathematics 1 Nonlinearity 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Computation 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Canadian Journal of Mathematics 1 Canadian Mathematical Bulletin 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti dell’Istituto di Matematica dell’Università di Trieste 1 Results in Mathematics 1 Soviet Mathematics. Doklady 1 Revista Técnica de la Facultad de Ingenieria 1 Lecturas Matemáticas 1 Bollettino della Unione Matemàtica Italiana. Serie VI. B 1 Journal of Dynamics and Differential Equations 1 Dynamics of Continuous, Discrete and Impulsive Systems 1 Revista Matemática Complutense 1 Discrete and Continuous Dynamical Systems. Series B 1 Communications on Pure and Applied Analysis 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Bollettino della Unione Matematica Italiana. Series V. B 1 Bollettino dell’Unione Matematica Italiana all top 5 Fields 98 Partial differential equations (35-XX) 32 Ordinary differential equations (34-XX) 16 Global analysis, analysis on manifolds (58-XX) 8 Operator theory (47-XX) 3 Integral equations (45-XX) 3 Functional analysis (46-XX) 3 Numerical analysis (65-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 1 History and biography (01-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Geometry (51-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Quantum theory (81-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 83 Publications have been cited 1,053 times in 676 Documents Cited by ▼ Year ▼ A sign-changing solution for a superlinear Dirichlet problem. Zbl 0907.35050 Castro, Alfonso; Cossio, Jorge; Neuberger, John M. 166 1997 Critical point theory and the number of solutions of a nonlinear Dirichlet problem. Zbl 0426.35038 Castro, Alfonso; Lazer, A. C. 80 1979 Non-negative solutions for a class of non-positone problems. Zbl 0659.34018 Castro, Alfonso; Shivaji, R. 65 1988 Nonlinear eigenvalue problems with semipositone structure. Zbl 0959.35045 Castro, Alfonso; Maya, C.; Shivaji, R. 39 2000 Infinitely many radially symmetric solutions to a superlinear Dirichlet problem in a ball. Zbl 0656.35048 Castro, Alfonso; Kurepa, Alexandra 32 1987 Non-negative solutions for a class of radially symmetric non-positone problems. Zbl 0686.35044 Castro, Alfonso; Shivaij, R. 30 1989 Multiple solutions for a nonlinear Dirichlet problem. Zbl 0807.35039 Castro, Alfonso; Cossio, Jorge 28 1994 The effect of the domain topology on the number of minimal nodal solutions of an elliptic equation at critical growth in a symmetric domain. Zbl 1108.35054 Castro, Alfonso; Clapp, Mónica 28 2003 Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity. Zbl 0836.35049 Castro, Alfonso; Hassanpour, M.; Shivaji, R. 27 1995 Uniqueness of nonnegative solutions for semipositone problems on exterior domains. Zbl 1253.35004 Castro, Alfonso; Sankar, Lakshmi; Shivaji, R. 27 2012 A minimax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems. Zbl 0901.35028 Castro, Alfonso; Cossio, Jorge; Neuberger, John M. 26 1998 Nonnegative solutions to a semilinear Dirichlet problem in a ball are positive and radially symmetric. Zbl 0688.35025 Castro, Alfonso; Shivaji, R. 26 1989 Existence results for classes of sublinear semipositone problems. Zbl 0785.35073 Castro, Alfonso; Garner, J. B.; Shivaji, R. 25 1993 Uniqueness and stability of nonnegative solutions for semipositone problems in a ball. Zbl 0770.34019 Ali, Ismael; Castro, Alfonso; Shivaji, R. 24 1993 Non-existence of radially symmetric non-negative solutions for a class of semi-positone problems. Zbl 0736.35039 Brown, K. J.; Castro, Alfonso; Shivaji, R. 20 1989 Positive solutions for classes of multiparameter elliptic semipositone problems. Zbl 1133.35035 Caldwell, Scott; Castro, Alfonso; Shivaji, Ratnasingham; Unsurangsie, Sumalee 20 2007 Branches of radial solutions for semipositone problems. Zbl 0838.34037 Castro, Alfonso; Gadam, Sudhasree; Shivaji, R. 19 1995 Positive solution curves of semipositone problems with concave nonlinearities. Zbl 0884.35040 Castro, Alfonso; Gadam, Sudhasree; Shivaji, R. 16 1997 Uniqueness of positive solutions for a class of elliptic boundary value problems. Zbl 0558.35025 Castro, Alfonso; Shivaji, Ratnasingham 16 1984 Hammerstein integral equations with indefinite kernel. Zbl 0391.45007 Castro, Alfonso 16 1978 A priori bounds for positive solutions of subcritical elliptic equations. Zbl 1329.35081 Castro, Alfonso; Pardo, Rosa 15 2015 Positive solutions for a concave semipositone Dirichlet problem. Zbl 0910.34034 Castro, Alfonso; Shivaji, R. 15 1998 Existence of positive solutions for a semipositone \(p\)-Laplacian problem. Zbl 1358.35045 Castro, Alfonso; de Figueredo, Djairo G.; Lopera, Emer 14 2016 On periodic solutions of weakly coupled systems of differential equations. Zbl 0487.34037 Castro, Alfonso; Lazer, Alan C. 14 1981 Results on periodic solutions of parabolic equations suggested by elliptic theory. Zbl 0501.35005 Castro, Alfonso; Lazer, Alan C. 14 1982 Applications of a max-min principle. Zbl 0356.35073 Castro, Alfonso; Lazer, A. C. 13 1976 Evolution of positive solution curves in semipositone problems with concave nonlinearities. Zbl 0985.34014 Castro, Alfonso; Gadam, Sudhasree; Shivaji, R. 12 2000 Uniqueness of stable and unstable positive solutions for semipositone problems. Zbl 0804.35038 Castro, Alfonso; Sudhasree, Gadam 12 1994 Existence and uniqueness for a variational hyperbolic system without resonance. Zbl 0456.35051 Bates, Peter W.; Castro, Alfonso 11 1980 Radially symmetric solutions to a superlinear Dirichlet problem in a ball with jumping nonlinearities. Zbl 0687.35035 Castro, Alfonso; Kurepa, Alexandra 11 1989 Existence of seven solutions for an asymptotically linear Dirichlet problem without symmetries. Zbl 1277.35149 Castro, Alfonso; Cossio, Jorge; Vélez, Carlos 10 2013 A priori estimates for positive solutions to subcritical elliptic problems in a class of non-convex regions. Zbl 1366.35010 Castro, Alfonso; Pardo, Rosa 9 2017 Multiple solutions for a Dirichlet problem with jumping nonlinearities. II. Zbl 0695.34018 Castro, Alfonso; Shivaji, R. 8 1988 Radially symmetric solutions to a Dirichlet problem involving critical exponents. Zbl 0804.35039 Castro, Alfonso; Kurepa, Alexandra 7 1994 The Lazer-McKenna conjecture for radial solutions in the \(\mathbb R^N\) ball. Zbl 0810.34016 Castro, Alfonso; Gadam, Sudhasree 7 1993 A semilinear wave equation with nonmonotone nonlinearity. Zbl 0699.35176 Castro, Alfonso; Unsurangsie, Sumalee 7 1988 On multiple solutions of a nonlinear Dirichlet problem. Zbl 0888.35038 Castro, Alfonso; Cossio, Jorge; Neuberger, John M. 6 1997 A uniqueness result for a singular nonlinear eigenvalue problem. Zbl 1297.35159 Castro, Alfonso; Ko, Eunkyung; Shivaji, R. 6 2013 Schauder-type estimates and existence theorems for the solution of basic problems for linear and nonlinear parabolic equations. Zbl 0343.35044 Kružkov, S. N.; Castro, Alfonso; Lopez Morales, Martin 6 1975 Positive solutions for a semilinear elliptic problem with critical exponent. Zbl 0856.35043 Ali, Ismail; Castro, Alfonso 5 1996 Infinitely many nonradial solutions to a superlinear Dirichlet problem. Zbl 1082.35065 Aduén, Hugo; Castro, Alfonso 5 2003 Infinitely many rotationally symmetric solutions to a class of semilinear Laplace-Beltrami equations on spheres. Zbl 1331.58024 Castro, Alfonso; Fischer, Emily M. 5 2015 Periodic solutions of the forced pendulum equation. Zbl 0569.34039 Castro, Alfonso 5 1980 Semipositone problems. Zbl 0793.35035 Castro, Alfonso; Shivaji, Ratnasingham 5 1993 Upper estimates for the energy of solutions of nonhomogeneous boundary value problems. Zbl 1137.35357 Castro, Alfonso; Clapp, Mónica 5 2006 Existence and qualitative properties of solutions for nonlinear Dirichlet problems. Zbl 1266.35091 Castro, Alfonso; Cossio, Jorge; Vélez, Carlos 5 2013 Energy analysis of a nonlinear singular differential equation and applications. Zbl 0667.34016 Castro, Alfonso; Kurepa, Alexandra 5 1987 A two point boundary value problem with jumping nonlinearities. Zbl 0439.34021 Castro, Alfonso 5 1980 A variational characterization of the Fucík spectrum and applications. Zbl 1219.35064 Castro, Alfonso; Chang, Chen 5 2010 Existence of many positive nonradial solutions for a superlinear Dirichlet problem on thin annuli. Zbl 0959.35060 Castro, Alfonso; Finan, Marcel B. 5 2000 Equivalence between uniform \(L^{2^\star}(\Omega)\) a-priori bounds and uniform \(L^{\infty}(\Omega)\) a-priori bounds for subcritical elliptic equations. Zbl 1415.35064 Castro, Alfonso; Mavinga, Nsoki; Pardo, Rosa 4 2019 Branches of positive solutions for subcritical elliptic equations. Zbl 1334.35033 Castro, Alfonso; Pardo, Rosa 4 2015 Branches of positive solutions of subcritical elliptic equations in convex domains. Zbl 1341.35034 Pardo, Rosa; Castro, Alfonso 4 2015 Multiple radial solutions for a semilinear Dirichlet problem in a ball. Zbl 0799.35024 Castro, Alfonso; Cossio, Jorge 4 1993 Positivity of nonnegative solutions for cooperative semipositone systems. Zbl 1122.35343 Castro, Alfonso; Maya, C.; Shivaji, R. 4 2001 A semilinear wave equation with derivative of nonlinearity containing multiple eigenvalues of infinite multiplicity. Zbl 0888.35061 Caicedo, Jose F.; Castro, Alfonso 3 1997 Semilinear equations with discrete spectrum. Zbl 1162.35366 Castro, Alfonso 3 2004 A sign-changing solution for a superlinear Dirichlet problem. II. Zbl 1109.35333 Castro, Alfonso; Drábek, Pavel; Neuberger, John M. 3 2003 Existence of many sign-changing nonradial solutions for semilinear elliptic problems on thin annuli. Zbl 0952.35055 Castro, Alfonso; Finan, Marcel B. 3 1999 A semilinear wave equation with smooth data and no resonance having no continuous solution. Zbl 1177.35137 Caicedo, José F.; Castro, Alfonso 3 2009 Existence of solutions for a semilinear wave equation with non-monotone nonlinearity. Zbl 1204.35120 Castro, Alfonso; Preskill, Benjamin 3 2010 Reduction methods via minimax. Zbl 0493.49006 Castro, Alfonso 3 1982 Existence and multiplicity results for a semilinear elliptic problem. Zbl 1418.35186 Castro, Alfonso; Cossio, Jorge; Herrón, Sigifredo; Vélez, Carlos 2 2019 Infinitely many radial solutions for a sub-super critical \(p\)-Laplacian problem. Zbl 1437.35403 Castro, A.; Cossio, J.; Herrón, S.; Pardo, R.; Vélez, C. 2 2020 Multiple solutions for a Dirichlet problem with jumping nonlinearities. Zbl 0573.34002 Castro, Alfonso; Shivaji, R. 2 1985 Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary. Zbl 1206.35005 Castro, Alfonso; Padrón, Víctor 2 2010 Stability analysis of positive solutions to classes of reaction-diffusion systems. Zbl 1174.35320 Castro, Alfonso; Chhetri, Maya; Shivaji, R. 2 2004 A semilinear Dirichlet problem. Zbl 0402.35049 Castro, Alfonso 2 1979 Existence of solutions for a wave equation with non-monotone nonlinearity and a small parameter. Zbl 1254.35150 Caicedo, José F.; Castro, Alfonso; Duque, Rodrigo 2 2011 An existence result for a class of sublinear semipositone systems. Zbl 0967.35041 Castro, Alfonso; Maya, C.; Shivaji, R. 2 2000 Resonant solutions and turning points in an elliptic problem with oscillatory boundary conditions. Zbl 1248.35016 Castro, Alfonso; Pardo, Rosa 2 2012 Radial solutions to a Dirichlet problem involving critical exponents when \(N=6\). Zbl 0854.35038 Castro, Alfonso; Kurepa, Alexandra 1 1996 Existence results for semipositone systems. Zbl 0858.35031 Anuradha, V.; Castro, A.; Shivaji, R. 1 1996 On the number of radially symmetric solutions to Dirichlet problems with jumping nonlinearities of superlinear order. Zbl 0928.35061 Castro, Alfonso; Kuiper, Hendrik J. 1 1999 Asymptotic behavior of the potential and existence of a periodic solution for a second order differential equation. Zbl 1103.34315 Castro, Alfonso; Chang, Chen 1 2003 Existence of positive solutions for a superlinear elliptic system with Neumann boundary condition. Zbl 1288.35231 Cardeno, Juan C.; Castro, Alfonso 1 2014 Existence of non-degenerate continua of singular radial solutions for several classes of semilinear elliptic problems. Zbl 1307.34042 Ardila, Víctor; Caicedo, José; Castro, Alfonso 1 2014 Existence of \(L^p\)-solutions for a semilinear wave equation with non-monotone nonlinearity. Zbl 1304.35424 Caicedo, José; Castro, Alfonso; Duque, Rodrigo; Sanjuán, Arturo 1 2014 Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball. Zbl 1133.35366 Castro, Alfonso; Kwon, John; Tan, Chee Meng 1 2007 Uniqueness of large radial solutions and existence of nonradial solutions for a superlinear Dirichlet problem in annulii. Zbl 1216.35046 Aduén, Hugo; Castro, Alfonso; Cossio, Jorge 1 2008 Infinitely many radial solutions for a super-cubic Kirchhoff type problem in a ball. Zbl 1455.35108 Castro, Alfonso; Song, Shu-Zhi 1 2020 Construction of a radial solution to a superlinear Dirichlet problem that changes sign exactly once. Zbl 1131.35328 Castro, Alfonso; Cossio, Jorge 1 2006 Necessary and sufficient conditions for existence of solutions to equations with noninvertible linear part. Zbl 0473.47048 Bates, Peter W.; Castro, Alfonso 1 1981 Infinitely many radial solutions for a sub-super critical \(p\)-Laplacian problem. Zbl 1437.35403 Castro, A.; Cossio, J.; Herrón, S.; Pardo, R.; Vélez, C. 2 2020 Infinitely many radial solutions for a super-cubic Kirchhoff type problem in a ball. Zbl 1455.35108 Castro, Alfonso; Song, Shu-Zhi 1 2020 Equivalence between uniform \(L^{2^\star}(\Omega)\) a-priori bounds and uniform \(L^{\infty}(\Omega)\) a-priori bounds for subcritical elliptic equations. Zbl 1415.35064 Castro, Alfonso; Mavinga, Nsoki; Pardo, Rosa 4 2019 Existence and multiplicity results for a semilinear elliptic problem. Zbl 1418.35186 Castro, Alfonso; Cossio, Jorge; Herrón, Sigifredo; Vélez, Carlos 2 2019 A priori estimates for positive solutions to subcritical elliptic problems in a class of non-convex regions. Zbl 1366.35010 Castro, Alfonso; Pardo, Rosa 9 2017 Existence of positive solutions for a semipositone \(p\)-Laplacian problem. Zbl 1358.35045 Castro, Alfonso; de Figueredo, Djairo G.; Lopera, Emer 14 2016 A priori bounds for positive solutions of subcritical elliptic equations. Zbl 1329.35081 Castro, Alfonso; Pardo, Rosa 15 2015 Infinitely many rotationally symmetric solutions to a class of semilinear Laplace-Beltrami equations on spheres. Zbl 1331.58024 Castro, Alfonso; Fischer, Emily M. 5 2015 Branches of positive solutions for subcritical elliptic equations. Zbl 1334.35033 Castro, Alfonso; Pardo, Rosa 4 2015 Branches of positive solutions of subcritical elliptic equations in convex domains. Zbl 1341.35034 Pardo, Rosa; Castro, Alfonso 4 2015 Existence of positive solutions for a superlinear elliptic system with Neumann boundary condition. Zbl 1288.35231 Cardeno, Juan C.; Castro, Alfonso 1 2014 Existence of non-degenerate continua of singular radial solutions for several classes of semilinear elliptic problems. Zbl 1307.34042 Ardila, Víctor; Caicedo, José; Castro, Alfonso 1 2014 Existence of \(L^p\)-solutions for a semilinear wave equation with non-monotone nonlinearity. Zbl 1304.35424 Caicedo, José; Castro, Alfonso; Duque, Rodrigo; Sanjuán, Arturo 1 2014 Existence of seven solutions for an asymptotically linear Dirichlet problem without symmetries. Zbl 1277.35149 Castro, Alfonso; Cossio, Jorge; Vélez, Carlos 10 2013 A uniqueness result for a singular nonlinear eigenvalue problem. Zbl 1297.35159 Castro, Alfonso; Ko, Eunkyung; Shivaji, R. 6 2013 Existence and qualitative properties of solutions for nonlinear Dirichlet problems. Zbl 1266.35091 Castro, Alfonso; Cossio, Jorge; Vélez, Carlos 5 2013 Uniqueness of nonnegative solutions for semipositone problems on exterior domains. Zbl 1253.35004 Castro, Alfonso; Sankar, Lakshmi; Shivaji, R. 27 2012 Resonant solutions and turning points in an elliptic problem with oscillatory boundary conditions. Zbl 1248.35016 Castro, Alfonso; Pardo, Rosa 2 2012 Existence of solutions for a wave equation with non-monotone nonlinearity and a small parameter. Zbl 1254.35150 Caicedo, José F.; Castro, Alfonso; Duque, Rodrigo 2 2011 A variational characterization of the Fucík spectrum and applications. Zbl 1219.35064 Castro, Alfonso; Chang, Chen 5 2010 Existence of solutions for a semilinear wave equation with non-monotone nonlinearity. Zbl 1204.35120 Castro, Alfonso; Preskill, Benjamin 3 2010 Classification of radial solutions arising in the study of thermal structures with thermal equilibrium or no flux at the boundary. Zbl 1206.35005 Castro, Alfonso; Padrón, Víctor 2 2010 A semilinear wave equation with smooth data and no resonance having no continuous solution. Zbl 1177.35137 Caicedo, José F.; Castro, Alfonso 3 2009 Uniqueness of large radial solutions and existence of nonradial solutions for a superlinear Dirichlet problem in annulii. Zbl 1216.35046 Aduén, Hugo; Castro, Alfonso; Cossio, Jorge 1 2008 Positive solutions for classes of multiparameter elliptic semipositone problems. Zbl 1133.35035 Caldwell, Scott; Castro, Alfonso; Shivaji, Ratnasingham; Unsurangsie, Sumalee 20 2007 Infinitely many radial solutions for a sub-super critical Dirichlet boundary value problem in a ball. Zbl 1133.35366 Castro, Alfonso; Kwon, John; Tan, Chee Meng 1 2007 Upper estimates for the energy of solutions of nonhomogeneous boundary value problems. Zbl 1137.35357 Castro, Alfonso; Clapp, Mónica 5 2006 Construction of a radial solution to a superlinear Dirichlet problem that changes sign exactly once. Zbl 1131.35328 Castro, Alfonso; Cossio, Jorge 1 2006 Semilinear equations with discrete spectrum. Zbl 1162.35366 Castro, Alfonso 3 2004 Stability analysis of positive solutions to classes of reaction-diffusion systems. Zbl 1174.35320 Castro, Alfonso; Chhetri, Maya; Shivaji, R. 2 2004 The effect of the domain topology on the number of minimal nodal solutions of an elliptic equation at critical growth in a symmetric domain. Zbl 1108.35054 Castro, Alfonso; Clapp, Mónica 28 2003 Infinitely many nonradial solutions to a superlinear Dirichlet problem. Zbl 1082.35065 Aduén, Hugo; Castro, Alfonso 5 2003 A sign-changing solution for a superlinear Dirichlet problem. II. Zbl 1109.35333 Castro, Alfonso; Drábek, Pavel; Neuberger, John M. 3 2003 Asymptotic behavior of the potential and existence of a periodic solution for a second order differential equation. Zbl 1103.34315 Castro, Alfonso; Chang, Chen 1 2003 Positivity of nonnegative solutions for cooperative semipositone systems. Zbl 1122.35343 Castro, Alfonso; Maya, C.; Shivaji, R. 4 2001 Nonlinear eigenvalue problems with semipositone structure. Zbl 0959.35045 Castro, Alfonso; Maya, C.; Shivaji, R. 39 2000 Evolution of positive solution curves in semipositone problems with concave nonlinearities. Zbl 0985.34014 Castro, Alfonso; Gadam, Sudhasree; Shivaji, R. 12 2000 Existence of many positive nonradial solutions for a superlinear Dirichlet problem on thin annuli. Zbl 0959.35060 Castro, Alfonso; Finan, Marcel B. 5 2000 An existence result for a class of sublinear semipositone systems. Zbl 0967.35041 Castro, Alfonso; Maya, C.; Shivaji, R. 2 2000 Existence of many sign-changing nonradial solutions for semilinear elliptic problems on thin annuli. Zbl 0952.35055 Castro, Alfonso; Finan, Marcel B. 3 1999 On the number of radially symmetric solutions to Dirichlet problems with jumping nonlinearities of superlinear order. Zbl 0928.35061 Castro, Alfonso; Kuiper, Hendrik J. 1 1999 A minimax principle, index of the critical point, and existence of sign-changing solutions to elliptic boundary value problems. Zbl 0901.35028 Castro, Alfonso; Cossio, Jorge; Neuberger, John M. 26 1998 Positive solutions for a concave semipositone Dirichlet problem. Zbl 0910.34034 Castro, Alfonso; Shivaji, R. 15 1998 A sign-changing solution for a superlinear Dirichlet problem. Zbl 0907.35050 Castro, Alfonso; Cossio, Jorge; Neuberger, John M. 166 1997 Positive solution curves of semipositone problems with concave nonlinearities. Zbl 0884.35040 Castro, Alfonso; Gadam, Sudhasree; Shivaji, R. 16 1997 On multiple solutions of a nonlinear Dirichlet problem. Zbl 0888.35038 Castro, Alfonso; Cossio, Jorge; Neuberger, John M. 6 1997 A semilinear wave equation with derivative of nonlinearity containing multiple eigenvalues of infinite multiplicity. Zbl 0888.35061 Caicedo, Jose F.; Castro, Alfonso 3 1997 Positive solutions for a semilinear elliptic problem with critical exponent. Zbl 0856.35043 Ali, Ismail; Castro, Alfonso 5 1996 Radial solutions to a Dirichlet problem involving critical exponents when \(N=6\). Zbl 0854.35038 Castro, Alfonso; Kurepa, Alexandra 1 1996 Existence results for semipositone systems. Zbl 0858.35031 Anuradha, V.; Castro, A.; Shivaji, R. 1 1996 Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity. Zbl 0836.35049 Castro, Alfonso; Hassanpour, M.; Shivaji, R. 27 1995 Branches of radial solutions for semipositone problems. Zbl 0838.34037 Castro, Alfonso; Gadam, Sudhasree; Shivaji, R. 19 1995 Multiple solutions for a nonlinear Dirichlet problem. Zbl 0807.35039 Castro, Alfonso; Cossio, Jorge 28 1994 Uniqueness of stable and unstable positive solutions for semipositone problems. Zbl 0804.35038 Castro, Alfonso; Sudhasree, Gadam 12 1994 Radially symmetric solutions to a Dirichlet problem involving critical exponents. Zbl 0804.35039 Castro, Alfonso; Kurepa, Alexandra 7 1994 Existence results for classes of sublinear semipositone problems. Zbl 0785.35073 Castro, Alfonso; Garner, J. B.; Shivaji, R. 25 1993 Uniqueness and stability of nonnegative solutions for semipositone problems in a ball. Zbl 0770.34019 Ali, Ismael; Castro, Alfonso; Shivaji, R. 24 1993 The Lazer-McKenna conjecture for radial solutions in the \(\mathbb R^N\) ball. Zbl 0810.34016 Castro, Alfonso; Gadam, Sudhasree 7 1993 Semipositone problems. Zbl 0793.35035 Castro, Alfonso; Shivaji, Ratnasingham 5 1993 Multiple radial solutions for a semilinear Dirichlet problem in a ball. Zbl 0799.35024 Castro, Alfonso; Cossio, Jorge 4 1993 Non-negative solutions for a class of radially symmetric non-positone problems. Zbl 0686.35044 Castro, Alfonso; Shivaij, R. 30 1989 Nonnegative solutions to a semilinear Dirichlet problem in a ball are positive and radially symmetric. Zbl 0688.35025 Castro, Alfonso; Shivaji, R. 26 1989 Non-existence of radially symmetric non-negative solutions for a class of semi-positone problems. Zbl 0736.35039 Brown, K. J.; Castro, Alfonso; Shivaji, R. 20 1989 Radially symmetric solutions to a superlinear Dirichlet problem in a ball with jumping nonlinearities. Zbl 0687.35035 Castro, Alfonso; Kurepa, Alexandra 11 1989 Non-negative solutions for a class of non-positone problems. Zbl 0659.34018 Castro, Alfonso; Shivaji, R. 65 1988 Multiple solutions for a Dirichlet problem with jumping nonlinearities. II. Zbl 0695.34018 Castro, Alfonso; Shivaji, R. 8 1988 A semilinear wave equation with nonmonotone nonlinearity. Zbl 0699.35176 Castro, Alfonso; Unsurangsie, Sumalee 7 1988 Infinitely many radially symmetric solutions to a superlinear Dirichlet problem in a ball. Zbl 0656.35048 Castro, Alfonso; Kurepa, Alexandra 32 1987 Energy analysis of a nonlinear singular differential equation and applications. Zbl 0667.34016 Castro, Alfonso; Kurepa, Alexandra 5 1987 Multiple solutions for a Dirichlet problem with jumping nonlinearities. Zbl 0573.34002 Castro, Alfonso; Shivaji, R. 2 1985 Uniqueness of positive solutions for a class of elliptic boundary value problems. Zbl 0558.35025 Castro, Alfonso; Shivaji, Ratnasingham 16 1984 Results on periodic solutions of parabolic equations suggested by elliptic theory. Zbl 0501.35005 Castro, Alfonso; Lazer, Alan C. 14 1982 Reduction methods via minimax. Zbl 0493.49006 Castro, Alfonso 3 1982 On periodic solutions of weakly coupled systems of differential equations. Zbl 0487.34037 Castro, Alfonso; Lazer, Alan C. 14 1981 Necessary and sufficient conditions for existence of solutions to equations with noninvertible linear part. Zbl 0473.47048 Bates, Peter W.; Castro, Alfonso 1 1981 Existence and uniqueness for a variational hyperbolic system without resonance. Zbl 0456.35051 Bates, Peter W.; Castro, Alfonso 11 1980 Periodic solutions of the forced pendulum equation. Zbl 0569.34039 Castro, Alfonso 5 1980 A two point boundary value problem with jumping nonlinearities. Zbl 0439.34021 Castro, Alfonso 5 1980 Critical point theory and the number of solutions of a nonlinear Dirichlet problem. Zbl 0426.35038 Castro, Alfonso; Lazer, A. C. 80 1979 A semilinear Dirichlet problem. Zbl 0402.35049 Castro, Alfonso 2 1979 Hammerstein integral equations with indefinite kernel. Zbl 0391.45007 Castro, Alfonso 16 1978 Applications of a max-min principle. Zbl 0356.35073 Castro, Alfonso; Lazer, A. C. 13 1976 Schauder-type estimates and existence theorems for the solution of basic problems for linear and nonlinear parabolic equations. Zbl 0343.35044 Kružkov, S. N.; Castro, Alfonso; Lopez Morales, Martin 6 1975 all cited Publications top 5 cited Publications all top 5 Cited by 649 Authors 57 Shivaji, Ratnasingham 40 Castro, Alfonso 21 Papageorgiou, Nikolaos S. 20 Hai, Dang Dinh 15 Figueiredo, Giovany Malcher 14 Clapp, Mónica 13 Pardo, Rosa M. 12 O’Regan, Donal 11 Alves, Claudianor Oliveira 10 Agarwal, Ravi P. 10 Cossio, Jorge 10 Vélez, Carlos Augusto 10 Wang, Zhi-Qiang 10 Xu, Xian 9 Afrouzi, Ghasem Alizadeh 9 Drábek, Pavel 9 Fonda, Alessandro 9 Herrón, Sigifredo 9 Hirano, Norimichi 9 Zou, Wenming 8 Bartsch, Thomas J. 8 Pacella, Filomena 8 Pistoia, Angela 8 Zhang, Zhitao 7 Chhetri, Maya 7 Dambrosio, Walter 7 Furtado, Marcelo Fernandes 7 Li, Shujie 7 Liu, Zhaoli 7 Ma, Ruyun 7 Schechter, Martin 7 Shuai, Wei 7 Van Schaftingen, Jean 7 Zhang, Xinguang 6 Agudelo, Oscar Mauricio 6 Costa, David Goldstein 6 Iaia, Joseph A. 6 Mahdavi, Somayeh 6 Naghizadeh, Zohreh 6 Rădulescu, Vicenţiu D. 6 Sankar, Lakshmi N. 6 Son, Byungjae 6 Weth, Tobias 5 Ackermann, Nils 5 Chu, Khanh Duc 5 Dancer, Edward Norman 5 Fonseka, Nalin 5 Gasiński, Leszek 5 Hu, Shouchuan 5 Lee, Eunkyoung 5 McKenna, Patrick Joseph 5 Neuberger, John M. 5 Poláčik, Peter 5 Robinson, Stephen B. 5 Sfecci, Andrea 5 Tehrani, Hossein Torabi 5 Zanolin, Fabio 4 Anuradha, V. 4 Ben Ayed, Mohamed 4 Caicedo, Jose F. 4 Cheng, Jiangang 4 Cianciaruso, Filomena 4 Esteban, Maria J. 4 Feng, Meiqiang 4 Girg, Petr 4 Gladiali, Francesca 4 Guiro, Aboudramane 4 Hess, Peter 4 Hung, Kuo-Chih 4 Ko, Eunkyung 4 Kone, Blaise 4 Kurepa, Alexandra 4 Mavinga, Nsoki Mamie 4 Mawhin, Jean 4 Nguyen Phuong Cac 4 Pietramala, Paolamaria 4 Ramos, Miguel 4 Santos, Jefferson Abrantes 4 Shi, Junping 4 Sim, Inbo 4 Tang, Xianhua 4 Tavares, Hugo 4 Wang, Shin-Hwa 4 Willem, Michel 4 Wu, Tsungfang 3 Acharya, Ananta 3 Aduén, Hugo 3 Amann, Herbert 3 Amster, Pablo 3 Bai, Dingyong 3 Benci, Vieri 3 Bobkov, Vladimir E. 3 Bonheure, Denis 3 Boscaggin, Alberto 3 Capietto, Anna 3 Choi, Q-Heung 3 Dammak, Yessine 3 Dhanya, Rajendran 3 El Amrouss, Abdel Rachid 3 Fernández, Juan Carlos ...and 549 more Authors all top 5 Cited in 138 Serials 90 Journal of Mathematical Analysis and Applications 55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 53 Journal of Differential Equations 26 Nonlinear Analysis. Theory, Methods & Applications 17 Proceedings of the American Mathematical Society 15 Boundary Value Problems 14 Communications in Partial Differential Equations 14 Calculus of Variations and Partial Differential Equations 13 Journal of Functional Analysis 13 Communications on Pure and Applied Analysis 12 Applied Mathematics and Computation 11 Annali di Matematica Pura ed Applicata. Serie Quarta 11 Discrete and Continuous Dynamical Systems 10 Transactions of the American Mathematical Society 10 Communications in Contemporary Mathematics 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 9 Applied Mathematics Letters 9 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 9 Positivity 8 Computers & Mathematics with Applications 8 Journal of Computational and Applied Mathematics 8 Topological Methods in Nonlinear Analysis 7 Journal of Mathematical Physics 7 Advanced Nonlinear Studies 7 Complex Variables and Elliptic Equations 6 Rocky Mountain Journal of Mathematics 6 Mathematische Nachrichten 6 Mediterranean Journal of Mathematics 6 Journal of Fixed Point Theory and Applications 5 Applicable Analysis 5 ZAMP. Zeitschrift für angewandte Mathematik und Physik 5 Monatshefte für Mathematik 5 Electronic Journal of Differential Equations (EJDE) 5 Qualitative Theory of Dynamical Systems 5 Nonlinear Analysis. Real World Applications 5 Advances in Difference Equations 5 Advances in Nonlinear Analysis 4 Bulletin of the Australian Mathematical Society 4 Mathematische Zeitschrift 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Science in China. Series A 4 NoDEA. Nonlinear Differential Equations and Applications 4 Discrete and Continuous Dynamical Systems. Series S 3 Chaos, Solitons and Fractals 3 Manuscripta Mathematica 3 Results in Mathematics 3 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 3 Opuscula Mathematica 3 Abstract and Applied Analysis 3 Discrete and Continuous Dynamical Systems. Series B 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Journal of Applied Mathematics and Computing 3 Milan Journal of Mathematics 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 2 Czechoslovak Mathematical Journal 2 Indiana University Mathematics Journal 2 International Journal of Mathematics and Mathematical Sciences 2 Mathematische Annalen 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Rendiconti del Seminario Matematico della Università di Padova 2 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 2 Acta Applicandae Mathematicae 2 Mathematical and Computer Modelling 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 Bulletin of the American Mathematical Society. New Series 2 Differential Equations and Dynamical Systems 2 Taiwanese Journal of Mathematics 2 Differential Equations 2 Applied Mathematics E-Notes 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Bulletin of the Brazilian Mathematical Society. New Series 2 Journal of Computational Dynamics 2 Journal of Function Spaces 2 Minimax Theory and its Applications 2 Korean Journal of Mathematics 2 Electronic Research Archive 1 Analysis Mathematica 1 Israel Journal of Mathematics 1 Journal d’Analyse Mathématique 1 Mathematical Methods in the Applied Sciences 1 Ukrainian Mathematical Journal 1 Advances in Mathematics 1 Applied Mathematics and Optimization 1 Bulletin of the London Mathematical Society 1 Bulletin de la Société Mathématique de France 1 Inventiones Mathematicae 1 Mathematika 1 Memoirs of the American Mathematical Society 1 Numerische Mathematik 1 Quarterly of Applied Mathematics 1 Siberian Mathematical Journal 1 Tôhoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Acta Mathematicae Applicatae Sinica. English Series 1 Asymptotic Analysis 1 International Journal of Mathematics ...and 38 more Serials all top 5 Cited in 32 Fields 534 Partial differential equations (35-XX) 150 Ordinary differential equations (34-XX) 99 Operator theory (47-XX) 69 Global analysis, analysis on manifolds (58-XX) 22 Difference and functional equations (39-XX) 17 Calculus of variations and optimal control; optimization (49-XX) 17 Numerical analysis (65-XX) 12 Dynamical systems and ergodic theory (37-XX) 8 Biology and other natural sciences (92-XX) 6 Mechanics of particles and systems (70-XX) 4 Functional analysis (46-XX) 4 Fluid mechanics (76-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Integral equations (45-XX) 3 Probability theory and stochastic processes (60-XX) 3 Mechanics of deformable solids (74-XX) 2 Potential theory (31-XX) 2 Approximations and expansions (41-XX) 2 Differential geometry (53-XX) 2 General topology (54-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Algebraic topology (55-XX) 1 Manifolds and cell complexes (57-XX) 1 Relativity and gravitational theory (83-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year