A Struwe-type Decomposition Result for Weighted Critical $p$-Laplace Equations

التفاصيل البيبلوغرافية
العنوان: A Struwe-type Decomposition Result for Weighted Critical $p$-Laplace Equations
المؤلفون: Chernysh, Edward
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, 35J92 (Primary) 35B33, 35J60 (Secondary)
الوصف: We establish Struwe-type decompositions of Palais-Smale sequences for a class of critical $p$-Laplace equations of the Caffarelli-Kohn-Nirenberg type in a bounded domain $\Omega\subset\mathbb{R}^n$, $n\ge2$, containing the origin. In doing so, we highlight important differences introduced by the weights and require new rescaling laws to account for this new framework.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2410.14861
رقم الانضمام: edsarx.2410.14861
قاعدة البيانات: arXiv