A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation

Claudianor O. Alves; Francisco Julio S.A. Corr\^ea

A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation

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arxiv 1405.6857 v1 pith:5HWRHBND submitted 2014-05-27 math.AP

Claudianor O. Alves , Francisco Julio S.A. Corrêa This is my paper · ORCID

classification math.AP

keywords approachequationkirchhoffquasilinearestablishexistenceoperatorspseudomonotone

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

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An iterative method for Kirchhoff type equations and its applications
math.AP 2019-08 reject novelty 6.0 of 10

An invariant-set existence theorem for nonlocal Kirchhoff-Carrier equations is asserted, but the proof rests on a false identity for r_M and an invalid gradient bound.

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