Existence and location of solutions to a Neumann problem driven by an nonhomogeneous differential operator and with gradient dependence are established developing a non-variational approach based on an adequate method of sub-supersolution. The abstract theorem is applied to prove the existence of finitely many positive solutions or even infinitely many positive solutions for a class of Neumann problems.
|Numero di pagine||12|
|Rivista||Nonlinear Analysis: Real World Applications|
|Stato di pubblicazione||Published - 2020|
All Science Journal Classification (ASJC) codes
- Economics, Econometrics and Finance(all)
- Computational Mathematics
- Applied Mathematics
Tornatore, E., Sciammetta, A., & Motreanu, D. (2020). A sub-supersolution approach for Neumann boundary value problems with gradient dependence. Nonlinear Analysis: Real World Applications, 54, 103096-.