التفاصيل البيبلوغرافية
| العنوان: |
Existence of very weak solutions to nonlinear elliptic equation with nonstandard growth and global weighted gradient estimates |
| المؤلفون: |
Byun, Sun-Sig, Lim, Minkyu |
| سنة النشر: |
2023 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Analysis of PDEs |
| الوصف: |
We study a general class of quasilinear elliptic equations with nonstandard growth to prove the existence of a very weak solution to such a problem. A key ingredient in the proof is a priori global weighted gradient estimate of a very weak solution, where the right hand side of the equation is the divergence of a vector-valued function with low degree of integrability. To obtain this estimate, we adopt a notion of reverse H\"older class of Muckenhoupt weights. Another crucial part of the proof is a generalized weighted div-curl lemma in the setting of Orlicz spaces. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2311.11479 |
| رقم الانضمام: |
edsarx.2311.11479 |
| قاعدة البيانات: |
arXiv |