中文

具指数非线性项的对数加权 $(N, p)$-拉普拉斯问题的节点解

偏微分方程分析 2023-10-13 v2

摘要

本文的主要目的在于研究 RN\mathbb{R}^{N}N>2N>2)中单位球 BB 上对数加权 (N,p)(N,p)-拉普拉斯问题的 least energy 变号解的存在性。鉴于 Trudinger-Moser 型不等式,假设方程的非线性具有指数增长。为获得存在性结果,我们使用 Nehari 集上的约束极小化、定量形变引理与度理论结果。

关键词

引用

@article{arxiv.2304.11612,
  title  = {Nodal solutions for Logarithmic weighted $(N, p)$-Laplacian problem with exponential nonlinearities},
  author = {Rima chetouane and Brahim Dridi and Rached Jaidane},
  journal= {arXiv preprint arXiv:2304.11612},
  year   = {2023}
}

备注

We have decided to withdraw this manuscript in order to improve the results of our study and make it more robust. We are confident that we can address the feedback from the reviewers and strengthen the paper, and we plan to resubmit it to your journal in the future. We apologize for any inconvenience this may cause, and we appreciate your understanding. Sincerely, Brahim Dridi