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Adolfo J. Rumbos

Joseph N. Fiske Professor of Mathematics
With Pomona Since: 1991
  • Expertise

    Expertise

    Adolfo Rumbos works in the field of nonlinear analysis and its applications to boundary value problems for differential equations. In particular, he studies the application of topological and variational methods to the question of existence and multiplicity of solutions to boundary value problems for nonlinear elliptic partial differential equations.

    Research Interests

    Applications of nonlinear analysis to boundary value problems for differential equations

    Areas of Expertise

    MATHEMATICS

    • Nonlinear Elliptic Boundary Value Problems
    • Variational Methods
    • Nonlinear Functional Analysis
    • Differential Equations
  • Work

    Work

    With G. Lopez Garcia, "Existence and Multiplicity for a Resonance Problem for the p-Laplacian on Bounded Domains in R^N," Nonlinear Analysis: Theory, Methods & Applications 70:3 (1 February 2009), pp. 1193-1208

    With V.L. Shapiro, "Jumping Nonlinearities and Weighted Sobolev Spaces," Journal of Differential Equations, 214, 326-357, 2005

    With G. Lopez G., "Multiple Solutions of Semilinear Elliptic Problems in R^N at Resonance," Journal of Mathematical Analysis and Applications, 305, 367-379, 2005

    With G. Lopez G., "Resonance and strong resonance for semilinear elliptic equations in R^N," Electronic Journal of Differential Equations, 2003, No. 124, 1-22, 2003

    With S. Robinson and V.L. Shapiro, "One-sided Resonance Problems for Quasilinear Elliptic Operators," Journal of Mathematical Analysis and Applications, 256, 636-649, 2001

    With V.L. Shapiro, "One-sided Resonance for a Quasilinear Variational Problem," Contemporary Mathematics, 208, 277-299, 1997

    With E. Landesman, S. Robinson and A. J. Rumbos, "Multiple Solutions of Semilinear Elliptic Problems at Resonance," Nonlinear Analysis: Theory, Methods & Applications, 24, 1049-1059, 1995

  • Education

    Education

    Ph.D.
    University of California, Santa Cruz

    Master of Arts
    University of California, Santa Cruz

    Bachelor of Science and Bachelor of Arts
    Humboldt State University

    Recent Courses Taught

    • Dynamical Systems
    • Independent Research in Mathematics
    • Math Methods for Life Scientists
    • Mathematical Modeling
    • Probability
    • Summer Reading & Research in Mathematics
  • Awards & Honors

    Awards & Honors

    Pomona College, Wig Distinguished Professorship Award for Excellence in Teaching, 1998

    Pomona College, Irvine Distinguished Faculty Fellow, 2004-05

    Pomona College, Outstanding Faculty of Color Award, 1997