Uniqueness and monotonicity of solutions for fractional equations with a gradient term
In this paper, we consider the following fractional equation with a gradient term $$(-\Delta)^{s} u(x)= f(x,u (x), \nabla u (x)),$$ in a bounded domain and the upper half space. Firstly, we prove the monotonicity and uniqueness of solutions to the fractional equation in a bounded domain by the sl...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
University of Szeged
2021-07-01
|
| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=9256 |