Existence and Multiplicity of Solutions for Fractional p-Laplacian Systems Involving Critical Homogeneous Nonlinearities

This paper is concerned with a class of fractional p-Laplacian systems with critical homogeneous nonlinearities. Under proper conditions, the existence and multiplicity results of nontrivial solutions are obtained by variational methods. To some extent, our results improve and supplement some existing relevant results.

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Publication Details

Journal
Symmetry
Published
2024-12-26
DOI
https://doi.org/10.3390/sym17010021
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Existence and Multiplicity of Solutions for Fractional p-Laplacian Systems Involving Critical Homogeneous Nonlinearities

Shulin Zhang
Symmetry
Nonlinear Partial Differential Equations
article

Existence and Multiplicity of Solutions for Fractional p-Laplacian Systems Involving Critical Homogeneous Nonlinearities

Shulin Zhang
article en

Abstract

This paper is concerned with a class of fractional p-Laplacian systems with critical homogeneous nonlinearities. Under proper conditions, the existence and multiplicity results of nontrivial solutions are obtained by variational methods. To some extent, our results improve and supplement some existing relevant results.

SymmetryVol. 17(1)
China University of Mining and Technology (CN)
Openalex Percentile: Top 60%
Nonlinear Partial Differential Equations
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Existence and Multiplicity of Solutions for Fractional p-Laplacian Systems Involving Critical Homogeneous Nonlinearities — Shulin Zhang · Symmetry (2024) | TGRS Research Map | TGRS