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.
Motreanu D., Sciammetta A., Tornatore E. (2020). A sub-supersolution approach for Neumann boundary value problems with gradient dependence. NONLINEAR ANALYSIS: REAL WORLD APPLICATIONS, 54, 1-12 [10.1016/j.nonrwa.2020.103096].
A sub-supersolution approach for Neumann boundary value problems with gradient dependence
Motreanu D.;Sciammetta A.;Tornatore E.
2020-01-01
Abstract
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.
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