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

Ruichang Pei; Hongming Xia; Ruichang Pei; Hongming Xia

doi:10.3934/math.2023752

AIMS Mathematics

2023, Volume 8, Issue 6: 14704-14725. doi: 10.3934/math.2023752

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Research article

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

Received: 19 February 2023 Revised: 11 April 2023 Accepted: 16 April 2023 Published: 20 April 2023
MSC : 35J30, 35J60, 35J91

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.
Citation: Ruichang Pei, Hongming Xia. Multiplicity results for some fourth-order elliptic equations with combined nonlinearities[J]. AIMS Mathematics, 2023, 8(6): 14704-14725. doi: 10.3934/math.2023752

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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.

References

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