WIAS Preprint No. 1984, (2014)
A rigidity result for nonlocal semilinear equations
- Farina, Alberto
- Valdinoci, Enrico
2010 Mathematics Subject Classification
- 35R11 35B53 35R09
- Nonlocal integro-differential semilinear equations, Liouville-type theorems, nondecreasing nonlinearities
We consider a possibly anisotropic integro-differential semilinear equation, run by a nondecreasing and nontrivial nonlinearity. We prove that if the solution grows at infinity less than the order of the operator, then it must be constant.
- Proc. Roy. Soc. Edinburgh Sec. A DOI: 10.1017/S0308210516000391, published online: 31 May 2017.