A sub-supersolution approach for a quasilinear Kirchhoff equation

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 May 2015Embargo end date: 01 Jan 2014 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 56 (issn: 0022-2488, eissn: 1089-7658,

Copyright policy )

Authors: Alves, Claudianor O.; Corrêa, Francisco Julio S. A.;

doi: 10.1063/1.4919670 , 10.48550/arxiv.1405.6857

arXiv: 1405.6857

A sub-supersolution approach for a quasilinear Kirchhoff equation

- Summary
- Subjects
- Metrics

Abstract

In this paper, we establish an existence result for a quasilinear Kirchhoff equation, via a sub- and supersolution approach, by using the Minty-Browder’s Theorem for pseudomonotone operators theory.

Related Organizations

Federal University of Campina Grande
Brazil

Keywords

Integro-partial differential equations, Mathematics - Analysis of PDEs, pseudomonotone operator, Quasilinear elliptic equations, FOS: Mathematics, Integro-differential operators, Minty-Browder's theorem, Analysis of PDEs (math.AP)

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	21
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Top 10%
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Top 10%