Nonexistence and radial symmetry of positive solutions of semilinear elliptic systems.
Nonexistence of radial positive solutions for a nonpositone problem.
Nonexistence of solutions of some inequalities with gradient nonlinearities and fractional Laplacian
We obtain sufficient conditions for nonexistence of nontrivial solutions for some classes of nonlinear partial differential inequalities containing the fractional powers of the Laplace operator.
Nonexistence Results for Semilinear Equations in Carnot Groups
In this paper, following [3], we provide some nonexistence results for semilinear equations in the the class of Carnot groups of type ★.This class, see [20], contains, in particular, all groups of step 2; like the Heisenberg group, and also Carnot groups of arbitrarly large step. Moreover, we prove some nonexistence results for semilinear equations in the Engel group, which is the simplest Carnot group that is not of type ★.
Nontrivial solutions for a robin problem with a nonlinear term asymptotically linear at and superlinear at .