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Author ID: castro.alfonso Recent zbMATH articles by "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

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

Publications by Year

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 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

Citations by Year