Fine Boundary Regularity For The Fractional (p,q)-Laplacian

التفاصيل البيبلوغرافية
العنوان: Fine Boundary Regularity For The Fractional (p,q)-Laplacian
المؤلفون: Dhanya, R., Jana, Ritabrata, Kumar, Uttam, Tiwari, Sweta
سنة النشر: 2024
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Analysis of PDEs, 35R11, 35J60, 35D30, 35B65
الوصف: In this article, we deal with the fine boundary regularity, a weighted H\"{o}lder regularity of weak solutions to the problem involving the fractional $(p,q)$-Laplacian denoted by \begin{eqnarray*} \begin{array}{rll} (-\Delta)_{p}^{s} u + (-\Delta)_{q}^{s} u &= f(x) &\text{ in } \Omega u&=0 &\text{ in } \mathbb{R}^N\setminus\Omega; \end{array} \end{eqnarray*} where $\Omega$ is a $C^{1,1}$ bounded domain and $2 \leq p \leq q <\infty.$ For $0Comment: 1 figure, Any comments/criticisms/suggestions are welcome
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2406.07995
رقم الأكسشن: edsarx.2406.07995
قاعدة البيانات: arXiv