Alfonso Castro

Articles in Scholarly Journals [Incomplete List]

  1. Proceedings of the American Mathematical Society, vol. 134, no. 01, pp. 167–176, 2006
  2. 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
  3. Proceedings of the American Mathematical Society, vol. 131, no. 03, pp. 835–844, 2003
  4. 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
  5. An inverse function theorem via continuous Newton's method
    Nonlinear Analysis, vol. 47, no. 5, pp. 3223–3229, 2001
  6. A Local Inversion Principle of the Nash--Moser Type
    SIAM Journal on Mathematical Analysis, vol. 33, no. 4, p. 989, 2001
  7. 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
  8. 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
  9. Transactions of the American Mathematical Society, vol. 351, no. 05, pp. 1919–1946, 1999
  10. Positive solutions for a concave semipositone Dirichlet problem
    Nonlinear Analysis, vol. 31, no. 1-2, pp. 91–98, 1998
  11. On multiple solutions of a nonlinear dirichlet problem
    Nonlinear Analysis, vol. 30, no. 6, pp. 3657–3662, 1997
  12. Positive solutions for a semilinear elliptic problem with critical exponent
    Nonlinear Analysis, vol. 27, no. 3, pp. 327–338, 1996
  13. Transactions of the American Mathematical Society, vol. 348, no. 02, pp. 781–799, 1996
  14. 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
  15. Branches of Radial Solutions for Semipositone Problems
    Journal of Differential Equations, vol. 120, no. 1, pp. 30–45, 1995
  16. Uniqueness of stable and unstable positive solutions for semipositone problems
    Nonlinear Analysis, vol. 22, no. 4, pp. 425–429, 1994
  17. Bifurcation theory and radial solutions to elliptic boundary value problems
    Applied Mathematics and Computation, vol. 65, no. 1-3, pp. 223–230, 1994
  18. SIAM Journal on Mathematical Analysis, vol. 25, no. 6, Article ID 0525089, 1994
  19. Radially Symmetric Solutions to a Dirichlet Problem Involving Critical Exponents
    Transactions of the American Mathematical Society, vol. 343, no. 2, p. 907, 1994
  20. 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
  21. 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
  22. 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
  23. 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
  24. Multiple solutions for a Dirichlet problem with jumping nonlinearities, II
    Journal of Mathematical Analysis and Applications, vol. 133, no. 2, pp. 509–528, 1988
  25. 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
  26. Addendum to: Existence and uniqueness of solutions to nonlinear dissipative wave equations
    Nonlinear Analysis, vol. 10, no. 12, pp. 1485–1486, 1986
  27. Multiple solutions for a dirichlet problem with jumping nonlinearities, II
    Nonlinear Analysis, vol. 10, no. 7, pp. 711–712, 1986
  28. Existence and uniqueness for a variational hyperbolic system without resonance
    Nonlinear Analysis, vol. 4, no. 6, pp. 1151–1156, 1980
  29. A Two Point Boundary Value Problem with Jumping Nonlinearities
    Proceedings of the American Mathematical Society, vol. 79, no. 2, p. 207, 1980
  30. 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
  31. Hammerstein integral equations with indefinite kernel
    International Journal of Mathematics and Mathematical Sciences, vol. 1, no. 2, pp. 187–201, 1978