1 citations · 3 across the 6 of their papers we have counts for
6 papers
A Global Compact Result for a Fractional Elliptic Problem with Hardy term and critical non-linearity on the whole space
Lingyu Jin
In this paper, we deal with a fractional elliptic equation with critical Sobolev nonlinearity and Hardy term $$…
A Hopf's Lemma and the Boundary Regularity for the Fractional P-Laplacian
Lingyu Jin, Yan Li
We begin the paper with a Hopf's lemma for a fractional p-Laplacian problem on a half-space. Specifically speaking, we show that the derivative of the solution along the outward no…
Large time behavior of solutions for a Cauchy problem on nonlinear conservation laws with large initial data in the whole space
Lingyu Jin, Lang Li, Shaomei Fang
We consider the Cauchy problem on a nonlinear conversation law with large initial data. By Green's function methods, energy methods, Fourier analysis, frequency decomposition, pseu…
The Brezis-Nirenberg Result for the Fractional Elliptic Problem with Singular Potential
Lingyu Jin, Lang Li, Shaomei Fang
In this paper, we are concerned with the following type of fractional problems: $$ \begin{cases}\dis (-Δ)^{s} u-μ\frac{u}{|x|^{2s}}-λu=|u|^{2^*_{s}-2}u+f(x,u), &\text{in} Ω,\ \ \,…
A Global Compact Result for a Fractional Elliptic Problem with Critical Sobolev-Hardy Nonlinearities on
Lingyu Jin, Shaomei Fang
In this paper, we are concerned with the following type of elliptic problems: where…
The global existence and time-decay for the solution of the fractional pseudo-parabolic equation
Lingyu Jin, Lang Li, Shaomei Fang
We consider the Cauchy problem of fractional pseudo-parabolic equation on the whole space . Here, the fractional order is related to the diffusion-type source term…