Higher order evolution inequalities involving Leray-Hardy potential singular on the boundary
- Authors: Jleli M.; Samet B.; Vetro C.
- Publication year: 2024
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/635258
Abstract
We consider a higher order (in time) evolution inequality posed in the half ball, under Dirichlet type boundary conditions. The involved elliptic operator is the sum of a Laplace differential operator and a Leray-Hardy potential with a singularity located at the boundary. Using a unified approach, we establish a sharp nonexistence result for the evolution inequalities and hence for the corresponding elliptic inequalities. We also investigate the influence of a nonlinear memory term on the existence of solutions to the Dirichlet problem, without imposing any restrictions on the sign of solutions.