Multiple Solutions to <i>p</i>-Biharmonic Equations of Kirchhoff Type with Vanishing Potential

Chung, Nguyen Thanh; Ghanmi, Abdeljabbar; Kenzizi, Tarek

doi:10.1080/01630563.2023.2166530

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2023

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“…Recently, a lot of attention has been paid to the study of problems involving the p-Laplacian operator and the p-biharmonic operator. We refer the reader to Alsaedi et al [1], Cung et al [10], Huang and Liu [15], and Sun and Wu [24,25]. The reason for studying these problems is their applications in fields such as quantum mechanics, flame propagation, and traveling waves in suspension bridges; for more applications see Bucur and Valdinoci [6], and Lazer and McKenna [16].…”

Section: Introductionmentioning

confidence: 99%

Singular p-biharmonic problems involving the Hardy-Sobolev exponent

Drissi,

Ghanmi,

Repovs

2023

ejde

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This article concerns the existence and multiplicity of solutions for the singular p-biharmonic problem involving the Hardy potential and the critical Hardy-Sobolev exponent. To this end we use variational methods combined with the Mountain pass theorem and the Ekeland variational principle. We illustrate the usefulness of our results with and example. For mote information see https://ejde.math.txstate.edu/Volumes/2023/61/abstr.html

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