Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

G. Ciraolo - R. Corso - A. Roncoroni

Classification and non-existence results for weak solutions to quasilinear elliptic equations with Neumann or Robin boundary conditions

created by roncoroni on 21 Oct 2022
modified on 17 Oct 2023

[BibTeX]

Published Paper

Inserted: 21 oct 2022
Last Updated: 17 oct 2023

Journal: J. Funct. Anal.
Year: 2021

ArXiv: 2003.11759 PDF

Abstract:

We classify positive solutions to a class of quasilinear equations with Neumann or Robin boundary conditions in convex domains. Our main tool is an integral formula involving the trace of some relevant quantities for the problem. Under a suitable condition on the nonlinearity, a relevant consequence of our results is that we can extend to weak solutions a celebrated result obtained for stable solutions by Casten and Holland and by Matano.

Credits | Cookie policy | HTML 5 | CSS 2.1