Multiple Positive Solutions for a Fractional Laplacian System with Critical Nonlinearities
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DOI: 10.1007/s40840-016-0432-1
Abstract: In this paper, we study the following nonlinear fractional Laplacian system with critical exponent $$\begin{aligned} \left\{ \begin{array}{ll} (-\Delta )^{s}u=\lambda |u|^{p-2}u+\frac{2\alpha }{\alpha +\beta }|u|^{\alpha -2}u|v|^{\beta }, &{}\quad \hbox {in} \;\ \Omega ,\\ (-\Delta )^{s}v=\mu |v|^{p-2}v+\frac{2\beta }{\alpha… read more here.
Keywords: laplacian system; system critical; fractional laplacian; beta ... See more keywords