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Research Article | Open Access

Multiplicity results for some fourth-order elliptic equations with combined nonlinearities

Ruichang Pei( ), Hongming Xia
School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, China
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Abstract

In this paper, we regard with some fourth-order elliptic boundary value problems involving subcritical polynomial growth and subcritical (critical) exponential growth. Some new existence and multiplicity results are established by using variational methods combined Adams inequality.

Keywords

fourth-order elliptic Navier boundary value problemthe variational methodAdams inequalitysubcritical and critical exponential growth
CLC number: 35J30, 35J60, 35J91

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 14704-14725
DOI: 10.3934/math.2023752

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Cite this article:
Pei R, Xia H. Multiplicity results for some fourth-order elliptic equations with combined nonlinearities. AIMS Mathematics, 2023, 8(6): 14704-14725. https://doi.org/10.3934/math.2023752

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Received: 19 February 2023
Revised: 11 April 2023
Accepted: 16 April 2023
Published: 15 June 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)