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

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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.
Original languageEnglish
Pages (from-to)103096-
Number of pages12
JournalNonlinear Analysis: Real World Applications
Volume54
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • Analysis
  • General Engineering
  • General Economics,Econometrics and Finance
  • Computational Mathematics
  • Applied Mathematics

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