Senli Liu, Yu Su
Abstract:
In this article, we study fractional \(p\)-Laplace equations with mixed nonlinearities.
By employing Lieb's compactness theorem and a generalized Sobolev inequality
involving Morrey norms in \(D^{s,p}(\mathbb{R}^N)\), we establish the existence of
ground state solutions under appropriate subcritical and critical growth conditions.
Submitted May 5, 2026. Published September 29, 2026.
Math Subject Classifications: 35A15, 35J20, 35J92.
Key Words: Fractional p-Laplace equation; Lieb's compactness theorem; critical exponents; ground state solution.
DOI: 10.58997/ejde.2026.76
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Senli Liu School of Mathematics and Statistics Hunan University of Science and Technology Xiangtan, Hunan 411201, China email: liusl@hnust.edu.cn |
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Yu Su School of Mathamtics and Big Data Anhui University of Science and Technology Huainan, Anhui 232001, China email: yusumath@aust.edu.cn |
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