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Large Solutions for Fractional Laplacian Operators

open access: yes, 2015
PhD Thesis, vi+135 ...
openaire   +2 more sources

Existence of solutions for non-local elliptic systems with Hardy-Littlewood-Sobolev critical nonlinearities

open access: yesElectronic Journal of Differential Equations, 2019
In this work, we establish the existence of solutions for the nonlinear nonlocal system of equations involving the fractional Laplacian, \begin{gather*} \begin{aligned} (-\Delta)^s u & = au+bv+\frac{2p}{p+q}\int_{\Omega}\frac{|v(y)|^q}{|x-y|^\mu}dy|
Yang Yang, Qian Yu Hong, Xudong Shang
doaj  

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