Existence of Two Infinite Families of Solutions For Singular Superlinear Equations On Exterior Domains
Description:
In this article the author studies radial solutions of Δu+K(|x|)f(u)=0 in the exterior of the ball radius R>0 in RN with N>2 where f grows superlinearly at infinity and is singular at 0 with f(u)~1/|u|q-1u and 0<q<1 for small u. The author assume K(|x|)∼|x|−α for large |x| and establish existence of two infinite families of sign-changing solutions when N+q(N−2)<α<2(N−1).
Date:
January 23, 2024
Creator:
Iaia, Joseph A.
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UNT College of Science