%0 Journal Article %1 englander2006nonexistence %A Englander, J. %A Simon, P.L. %D 2006 %J Electronic Journal of Differential Equations %K Fisher-KPP duality reaction-diffusion %N 09 %P 1--6 %T Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one %U http://www.emis.math.ca/EMIS/journals/EJDE/Volumes/2006/09/englander.pdf %V 2006 %X Abstract. In this article, we consider a semilinear elliptic equations of the form u + f (u) = 0, where f 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.

@article{englander2006nonexistence, abstract = {Abstract. In this article, we consider a semilinear elliptic equations of the form u + f (u) = 0, where f 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. }, added-at = {2009-09-11T00:44:45.000+0200}, author = {Englander, J. and Simon, P.L.}, biburl = {https://www.bibsonomy.org/bibtex/2f8badfcc96ceb25b956415fd64ef8b15/peter.ralph}, interhash = {e8882e7b21888cfc2ccd7180f2d90be0}, intrahash = {f8badfcc96ceb25b956415fd64ef8b15}, journal = {Electronic Journal of Differential Equations}, keywords = {Fisher-KPP duality reaction-diffusion}, number = 09, pages = {1--6}, timestamp = {2010-10-04T23:23:53.000+0200}, title = {{Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one}}, url = {http://www.emis.math.ca/EMIS/journals/EJDE/Volumes/2006/09/englander.pdf}, volume = 2006, year = 2006 }