BHIMANI, DIVYANG G.; Hajaiej, Hichem; Haque, Saikatul; Luo, Tingjian
(American Institute of Mathematical Sciences, 2023-02)
The purpose of this paper is threefold. Firstly, we establish a Gagliardo-Nirenberg inequality with optimal constant, which involves a fractional norm and an inhomogeneous nonlinearity. Secondly, as an application of this ...