Normalized ground states of nonlinear biharmonic Schr\'odinger equations with Sobolev critical growth and combined nonlinearities

التفاصيل البيبلوغرافية
العنوان: Normalized ground states of nonlinear biharmonic Schr\'odinger equations with Sobolev critical growth and combined nonlinearities
المؤلفون: Ma, Zhouji, Chang, Xiaojun
المصدر: Applied Mathematics Letters Volume 135, January 2023, 108388
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, 35J35, 35J60, 35Q55
الوصف: This paper is devoted to studying the following nonlinear biharmonic Schr\"odinger equation with combined power-type nonlinearities \begin{equation*} \begin{aligned} \Delta^{2}u-\lambda u=\mu|u|^{q-2}u+|u|^{4^*-2}u\quad\mathrm{in}\ \mathbb{R}^{N}, \end{aligned} \end{equation*} where $N\geq5$, $\mu>0$, $2Comment: 6 pages
نوع الوثيقة: Working Paper
DOI: 10.1016/j.aml.2022.108388
URL الوصول: http://arxiv.org/abs/2209.06917
رقم الأكسشن: edsarx.2209.06917
قاعدة البيانات: arXiv
الوصف
DOI:10.1016/j.aml.2022.108388