1 Matching Results
Results open in a new window/tab.
Results:
1 - 1 of
1
Radial Solutions of Singular Semilinear Equations on Exterior Domains
We prove the existence and nonexistence of radial solutions of singular semilinear equations Δu + k(x)f(u)=0 with boundary condition on the exterior of the ball with radius R>0 in ℝ^N such that lim r →∞ u(r)=0, where f: ℝ \ {0} →ℝ is an odd and locally Lipschitz continuous nonlinear function such that there exists a β >0 with f <0 on (0, β), f >0 on (β, ∞), and K(r) ~ r^-α for some α >0.
Date:
May 2021
Creator:
Ali, Mageed Hameed
System:
The UNT Digital Library