In this article, we consider a semilinear elliptic equations of the form Δu + f(u) = 0, where / is a concave function. We prove for arbitrary dimensions that there is no solution bounded in (0, 1). The significance of this result in probability theory is also discussed.
|Number of pages||6|
|Journal||Electronic Journal of Differential Equations|
|Publication status||Published - Jan 24 2006|
- Branching brownian-motion
- Positive bounded solutions
- Semilinear elliptic equations
ASJC Scopus subject areas