Multiplicity of Solutions for a Class of p-Biharmonic Equation in RN

This paper studies the multiplicity of solutions for a class of p-biharmonic problems posed in RN. Assuming appropriate conditions on the potential V(x) and the nonlinearities g(x,u), f(x,u), the existence of two nontrivial solutions is obtained via the Mountain Pass Theorem in conjunction with Ekeland’s variational principle.

Authors

Qing Miao (ORCID: https://orcid.org/0000-0001-8703-3603)
Liuting Zhu

Institutions

Minzu University of China (CN)

Publication Details

Journal: Axioms
Published: 2026-09-16
DOI: https://doi.org/10.3390/axioms15090690
Primary Topic: Nonlinear Partial Differential Equations
Type: article
Field-Weighted Citation Impact: 0.00

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article

Multiplicity of Solutions for a Class of p-Biharmonic Equation in RN

Qing Miao, Liuting Zhu

Sep 16, 2026

Axioms

Nonlinear Partial Differential Equations

article

Multiplicity of Solutions for a Class of p-Biharmonic Equation in RN

Qing Miao, Liuting Zhu

September 16, 2026article en

Abstract

AxiomsVol. 15(9)

Minzu University of China (CN)

Openalex Percentile: Top 6%

Nonlinear Partial Differential Equations

DOI Open Access PDF OpenAlex

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Multiplicity of Solutions for a Class of p-Biharmonic Equation in RN — Qing Miao, Liuting Zhu · Axioms (2026) | TGRS Research Map | TGRS