Published Paper
Inserted: 21 oct 2022
Last Updated: 17 oct 2023
Journal: J. Funct. Anal.
Year: 2021
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.