Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation

Lin Li; Donal O’Regan

doi:10.15388/namc.2021.26.20564

Articles

Lin Li

Chongqing Technology and Business University

Donal O’Regan

National University of Ireland

Published 2021-03-01

https://doi.org/10.15388/namc.2021.26.20564

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Keywords

critical growth
biharmonic operator
variational methods
local minimum

How to Cite

Li, L. and O’Regan, D. (2021) “Fourth-order elliptic problems with critical nonlinearities by a sublinear perturbation”, Nonlinear Analysis: Modelling and Control, 26(2), pp. 227–240. doi:10.15388/namc.2021.26.20564.

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Abstract

In this paper, we get the existence of two positive solutions for a fourth-order problem with Navier boundary condition. Our nonlinearity has a critical growth, and the method is a local minimum theorem obtained by Bonanno.

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