Englander, JanosSimon, Peter L.2021-07-142021-07-142006-01-24Engländer, J., & Simon, P. L. (2006). Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one. <i>Electronic Journal of Differential Equations, 2006</i>(09), pp. 1-6.1072-6691https://hdl.handle.net/10877/13882In this article, we consider a semilinear elliptic equations of the form ∆u + ƒ(u) = 0, where ƒ 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.Text6 pages1 file (.pdf)enAttribution 4.0 InternationalKPP-equationSemilinear elliptic equationsPositive bounded solutionsBranching Brownian-motionArticle