A sub-supersolution approach for Neumann boundary value problems with gradient dependence

Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Dumitru Motreanu, Angela Sciammetta, Elisabetta TornatoreAbstractExistence 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.

Source: Nonlinear Analysis: Real World Applications - January 21, 2020 Category: Research Source Type: research