SOME LIOUVILLE-TYPE RESULTS FOR STABLE SOLUTIONS INVOLVING THE MEAN CURVATURE OPERATOR: THE RADIAL CASE

Abstract : We prove some new Liouville-type theorems for stable radial solutions of -div (del u/root 1+vertical bar del u vertical bar(2)) = f(u) in R-N,R- where f is a smooth nonlinearity and N >= 2. Also, the sharpness of our results is discussed by means of some examples.