6533b835fe1ef96bd12a00eb

RESEARCH PRODUCT

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

Dumitru MotreanuElisabetta TornatoreAngela Sciammetta

subject

Gradient dependenceClass (set theory)Applied Mathematics010102 general mathematicsGeneral EngineeringNeumann problemGeneral MedicineDifferential operator01 natural sciencesPositive solution010101 applied mathematicsComputational MathematicsQuasilinear elliptic equationSettore MAT/05 - Analisi MatematicaNeumann boundary conditionMathematics::Metric GeometryApplied mathematicsBoundary value problem0101 mathematicsSub-supersolutionGeneral Economics Econometrics and FinanceAnalysisMathematics

description

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.

yearjournalcountryeditionlanguage
2020-08-01Nonlinear Analysis: Real World Applications
https://doi.org/10.1016/j.nonrwa.2020.103096