Radial Solutions to a Dirichlet Problem Involving Critical Exponents when N=6

Authors

Alfonso Castro, Harvey Mudd CollegeFollow
Alexandra Kurepa, North Carolina A & T State UniversityFollow

Document Type

Article

Department

Mathematics (HMC)

Publication Date

2-1996

Abstract

In this paper we show that, for each λ>0, the set of radially symmetric solutions to the boundary value problem

-Δu(x) = λu(x) + u(x)|u(x)|, x ε B := {x ε R⁶:|x|<1},

u(x) = 0, x ε ∂B

is bounded. Moreover, we establish geometric properties of the branches of solutions bifurcating from zero and from infinity.

Comments

First published in Transactions of the American Mathematical Society in Vol 348-2(1996), published by the American Mathematical Society

Rights Information

© 1996 American Mathematical Society

DOI

10.1090/S0002-9947-96-01476-6

Recommended Citation

Castro, Alfonso and Kurepa, Alexandra, "Radial Solutions to a Dirichlet Problem Involving Critical Exponents when N=6" (1996). All HMC Faculty Publications and Research. 467.
https://scholarship.claremont.edu/hmc_fac_pub/467