تقرير
Existence of weak solutions to borderline double-phase problems with logarithmic convection term
| العنوان: | Existence of weak solutions to borderline double-phase problems with logarithmic convection term |
|---|---|
| المؤلفون: | Tran, Minh-Phuong, Nguyen, Thanh-Nhan |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Analysis of PDEs, Mathematics - Functional Analysis |
| الوصف: | In this study, we devote our attention to the question of clarifying the existence of a weak solution to a class of quasilinear double-phase elliptic equations with logarithmic convection terms under some appropriate assumptions on data. The proof is based on the surjectivity theorem for the pseudo-monotone operators and modular function spaces and embedding theorems in generalized Orlicz spaces. Our approach in this paper can be extended naturally to a larger class of unbalanced double-phase problems with logarithmic perturbation and gradient dependence on the right-hand sides. Comment: 23 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2309.06700 |
| رقم الأكسشن: | edsarx.2309.06700 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |