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

Elisabetta Tornatore; Angela Sciammetta; Dumitru Motreanu

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

Elisabetta Tornatore, Angela Sciammetta, Dumitru Motreanu

Matematica e Informatica

Risultato della ricerca: Article › peer review

6 Citazioni (Scopus)

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.

Lingua originale	English
pagine (da-a)	103096-
Numero di pagine	12
Rivista	Nonlinear Analysis: Real World Applications
Volume	54
Stato di pubblicazione	Published - 2020

All Science Journal Classification (ASJC) codes

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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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N2 - 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.

AB - 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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JO - Nonlinear Analysis: Real World Applications

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ER -

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

Abstract

All Science Journal Classification (ASJC) codes

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