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Alfonso Castro
Articles in Scholarly Journals [Incomplete List]
Proceedings of the American Mathematical Society, vol. 134, no. 01, pp. 167–176, 2006
The effect of the domain topology on the number of minimal nodal solutions of an elliptic equation at critical growth in a symmetric domain
Nonlinearity, vol. 16, no. 2, pp. 579–590, 2003
Proceedings of the American Mathematical Society, vol. 131, no. 03, pp. 835–844, 2003
Asymptotic behavior of the potential and existence of a periodic solution for a second order differential equation
Applicable Analysis, vol. 82, no. 11, pp. 1029–1038, 2003
An inverse function theorem via continuous Newton's method
Nonlinear Analysis, vol. 47, no. 5, pp. 3223–3229, 2001
A Local Inversion Principle of the Nash--Moser Type
SIAM Journal on Mathematical Analysis, vol. 33, no. 4, p. 989, 2001
Evolution of Positive Solution Curves in Semipositone Problems with Concave Nonlinearities,
Journal of Mathematical Analysis and Applications, vol. 245, no. 1, pp. 282–293, 2000
Classification of ancient Roman glazed ceramics using the neural network of Self-Organizing Maps
Fresenius' Journal of Analytical Chemistry, vol. 367, no. 6, pp. 586–589, 2000
Transactions of the American Mathematical Society, vol. 351, no. 05, pp. 1919–1946, 1999
Positive solutions for a concave semipositone Dirichlet problem
Nonlinear Analysis, vol. 31, no. 1-2, pp. 91–98, 1998
On multiple solutions of a nonlinear dirichlet problem
Nonlinear Analysis, vol. 30, no. 6, pp. 3657–3662, 1997
Positive solutions for a semilinear elliptic problem with critical exponent
Nonlinear Analysis, vol. 27, no. 3, pp. 327–338, 1996
Transactions of the American Mathematical Society, vol. 348, no. 02, pp. 781–799, 1996
Uniqueness of non-negative solutions for a semipositone problem with concave nonlinearity
Communications in Partial Differential Equations, vol. 20, no. 11, pp. 1927–1936, 1995
Branches of Radial Solutions for Semipositone Problems
Journal of Differential Equations, vol. 120, no. 1, pp. 30–45, 1995
Uniqueness of stable and unstable positive solutions for semipositone problems
Nonlinear Analysis, vol. 22, no. 4, pp. 425–429, 1994
Bifurcation theory and radial solutions to elliptic boundary value problems
Applied Mathematics and Computation, vol. 65, no. 1-3, pp. 223–230, 1994
SIAM Journal on Mathematical Analysis, vol. 25, no. 6, Article ID 0525089, 1994
Radially Symmetric Solutions to a Dirichlet Problem Involving Critical Exponents
Transactions of the American Mathematical Society, vol. 343, no. 2, p. 907, 1994
Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball
Proceedings of the American Mathematical Society, vol. 117, no. 3, p. 775, 1993
Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball With Jumping Nonlinearities
Transactions of the American Mathematical Society, vol. 315, no. 1, p. 353, 1989
Non-Negative Solutions for a Class of Radially Symmetric Non-Positone Problems
Proceedings of the American Mathematical Society, vol. 106, no. 3, p. 735, 1989
Nonnegative solutions to a semilinear dirichlet problem in a ball are positive and radially syhhetric*
Communications in Partial Differential Equations, vol. 14, no. 8, pp. 1091–1100, 1989
Multiple solutions for a Dirichlet problem with jumping nonlinearities, II
Journal of Mathematical Analysis and Applications, vol. 133, no. 2, pp. 509–528, 1988
Infinitely Many Radially Symmetric Solutions to a Superlinear Dirichlet Problem in a Ball
Proceedings of the American Mathematical Society, vol. 101, no. 1, p. 57, 1987
Addendum to: Existence and uniqueness of solutions to nonlinear dissipative wave equations
Nonlinear Analysis, vol. 10, no. 12, pp. 1485–1486, 1986
Multiple solutions for a dirichlet problem with jumping nonlinearities, II
Nonlinear Analysis, vol. 10, no. 7, pp. 711–712, 1986
Existence and uniqueness for a variational hyperbolic system without resonance
Nonlinear Analysis, vol. 4, no. 6, pp. 1151–1156, 1980
A Two Point Boundary Value Problem with Jumping Nonlinearities
Proceedings of the American Mathematical Society, vol. 79, no. 2, p. 207, 1980
Critical point theory and the number of solutions of a nonlinear dirichlet problem
Annali di Matematica Pura ed Applicata, Series 4, vol. 120, no. 1, pp. 113–137, 1979
Hammerstein integral equations with indefinite kernel
International Journal of Mathematics and Mathematical Sciences, vol. 1, no. 2, pp. 187–201, 1978