Qualitative properties of singular solutions to semilinear elliptic problems

Francesco Esposito (1) , Alberto Farina (1) , B. Sciunzi

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

We consider positive singular solutions to semilinear elliptic problems with possibly singular nonlinearity. We deduce symmetry and monotonicity properties of the solutions via the moving plane procedure. (C) 2018 Published by Elsevier Inc.

Domaines: Mathématiques [math]

Francesco Esposito, Alberto Farina, B. Sciunzi. Qualitative properties of singular solutions to semilinear elliptic problems. Journal of Differential Equations, 2018, 265 (5), pp.1962-1983. ⟨10.1016/j.jde.2018.04.030⟩. ⟨hal-03621412⟩