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

Alberto Farina (1) , Miguel Angel Navarro

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

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.

Domaines: Mathématiques [math]

Alberto Farina, Miguel Angel Navarro. SOME LIOUVILLE-TYPE RESULTS FOR STABLE SOLUTIONS INVOLVING THE MEAN CURVATURE OPERATOR: THE RADIAL CASE. Discrete and Continuous Dynamical Systems - Series A, 2020, 40 (2), pp.1233-1256. ⟨10.3934/dcds.2020076⟩. ⟨hal-03621406⟩