Existence of Explosive Solutions to Non-Monotone Semilinear Elliptic Equations
Abstract
We consider the semilinear elliptic equation delta u = p(x)f(u) in some domain omega in Euclidean n-space. Such problems arise in the the study of steady state diffusion type problems, the subsonic motion of a gas, the electric potential in some bodies, and Riemannian geometry. We consider the semilinear elliptic equation delta u = p(x)f(us), on a domain ohms in Euclidean n-space, n greater than or equal to 3, where f is a non-negative function which vanishes at the origin and satisfies g (sub 1) less than or equal to f less than or equal to g (sub 2) where g (sub 1), g (sub 2) are both nonnegative, nondecreasing functions which also vanish at the origin, etc.
Document Details
- Document Type
- Technical Report
- Publication Date
- Mar 01, 2006
- Accession Number
- ADA446264
Entities
People
- Zacgart H Proano
Organizations
- Air Force Institute of Technology