Normalized solutions of quasilinear problems with nonlocal reaction

In this paper, we investigate the normalized solutions of a class of quasilinear elliptic equations characterized by convolution nonlinearity. We establish the existence and nonexistence of global and local minimizers across various ranges of the exponent, thereby extending many existing results in the literature.

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Publication Details

Journal
Bulletin of Mathematical Sciences
Published
2026-02-13
DOI
https://doi.org/10.1142/s1664360726500062
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

Normalized solutions of quasilinear problems with nonlocal reaction

Haidong Liu, Vicentiu D. Radulescu
Bulletin of Mathematical Sciences
Nonlinear Partial Differential Equations
article

Normalized solutions of quasilinear problems with nonlocal reaction

Haidong Liu, Vicentiu D. Radulescu
article en

Abstract

In this paper, we investigate the normalized solutions of a class of quasilinear elliptic equations characterized by convolution nonlinearity. We establish the existence and nonexistence of global and local minimizers across various ranges of the exponent, thereby extending many existing results in the literature.

Bulletin of Mathematical Sciences
Jagiellonian University (PL), Jiaxing University (CN), Azerbaijan Scientific-Research & Design-Prospecting Power Engineering Institute (AZ), Baku Engineering University (AZ), Romanian Academy (RO), Brno University of Technology (CZ), AGH University of Krakow (PL)
Reduced inequalities
Openalex Percentile: Top 54%
Nonlinear Partial Differential Equations
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