Infinitely Many Radial Solutions for a Sub-Super Critical Dirichlet Boundary Value Problem in a Ball

Authors

Alfonso Castro, Harvey Mudd CollegeFollow
John Kwon, Claremont Graduate UniversityFollow
Chee Meng Tan '07, Harvey Mudd CollegeFollow

Student Co-author

CGU Graduate, HMC Undergraduate

Document Type

Article

Department

Mathematics (HMC)

Publication Date

8-2007

Abstract

We prove the existence of infinitely many solutions to a semilinear Dirichlet boundary value problem in a ball for a nonlinearity g(u) that grows subcritically for u positive and supercritically for u negative.

Rights Information

© 2007 Texas State University - San Marcos

Recommended Citation

Castro, Alfonso; Kwon, John; and Tan, Chee Meng '07, "Infinitely Many Radial Solutions for a Sub-Super Critical Dirichlet Boundary Value Problem in a Ball" (2007). All HMC Faculty Publications and Research. 477.
https://scholarship.claremont.edu/hmc_fac_pub/477