Open Access Senior Thesis
Bachelor of Science
Jon T. Jacobsen
In this paper we prove that div(|x|β∇u)+|x|αf(u)=0, inB u = 0 on ∂B has infinitely many solutions when f is superlinear and grows subcritically for u ≥ 0 and up to critically for u less than 0 with 10, 13 N+β−2 N+β−2 We make extensive use of Pohozaev identities and phase plane and energy arguments.
Ventura, Ivan, "Radial Solutions to an Elliptic Boundary Valued Problem" (2007). HMC Senior Theses. 203.