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math.AP2019★ 41 cited
Classification of nonnegative solutions to static Schrödinger-Hartree-Maxwell type equations
Wei Dai, Zhao Liu, Guolin Qin
In this paper, we are mainly concerned with the physically interesting static Schrödinger-Hartree-Maxwell type equations \begin{equation*} (-Δ)^{s}u(x)=\left(\frac{1}{|x|^σ}\ast |u…
math.AP2019★ 6 cited
Maximum principles and monotonicity of solutions for fractional p-equations in unbounded domains
Zhao Liu, Wenxiong Chen
In this paper, we consider the following non-linear equations in unbounded domains with exterior Dirichlet condition: \begin{equation*}\begin{cases} (-Δ)_p^s u(x)=f(u(x)), & x\…