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Research Article | Open Access

Existence and regularity results for critical (p,2)-Laplacian equation

Lixiong Wang1( ), Ting Liu2
School of Mathematics, Hunan Institute of Science and Technology, Yueyang 414006, Hunan, China
School of Mathematics and Physics, China University of Geosciences, Wuhan 430074, Hubei, China
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Abstract

In this paper, we study a class of (p,2)-Laplacian equation with Hartree-type nonlinearity and critical exponents. Under some general assumptions and based on variational tools, we establish the existence, regularity, and symmetry of nontrivial solutions for such a problem.

Keywords

(p, 2)-Laplacian equationHartree-type nonlinearityvariational methodsregularity and symmetrycritical exponent
CLC number: 35B65, 35J20, 47J30

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AIMS Mathematics
Volume 9 Issue 11,
November 2024
Pages 30186-30213
DOI: 10.3934/math.20241458

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Cite this article:
Wang L, Liu T. Existence and regularity results for critical (p,2)-Laplacian equation. AIMS Mathematics, 2024, 9(11): 30186-30213. https://doi.org/10.3934/math.20241458

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Received: 07 August 2024
Revised: 11 October 2024
Accepted: 15 October 2024
Published: 24 October 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)