A sub-supersolution approach for robin boundary value problems with full gradient dependence
- Authors: Motreanu D.; Sciammetta A.; Tornatore E.
- Publication year: 2020
- Type: Articolo in rivista
- OA Link: http://hdl.handle.net/10447/424761
Abstract
The paper investigates a nonlinear elliptic problem with a Robin boundary condition, which exhibits a convection term with full dependence on the solution and its gradient. A subsupersolution approach is developed for this type of problems. The main result establishes the existence of a solution enclosed in the ordered interval formed by a sub-supersolution. The result is applied to find positive solutions.