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• W2973163826 abstract "In this paper, we first establish a narrow region principle and a decay at infinity theorem to extend the direct method of moving planes for general fractional $p$-Laplacian systems. By virtue of this method, we can investigate the qualitative properties of the following Schrodinger system with fractional $p$-Laplacian begin{equation*} left{begin{array}{r@{ }c@{ }ll} left(-Deltaright)_{p}^{s}u+au^{p-1}& =&f(u,v), [0.05cm] left(-Deltaright)_{p}^{t}v+bv^{p-1}& =&g(u,v), end{array}right. end{equation*} where $0<s,,t<1$ and $2<p<infty$. We obtain the radial symmetry in the unit ball or the whole space $mathbb{R}^{N}(Ngeq2)$, the monotonicity in the parabolic domain and the nonexistence on the half space for positive solutions to the above system under some suitable conditions on $f$ and $g$, respectively." @default.
• W2973163826 created "2019-09-19" @default.
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• W2973163826 creator A5061239221 @default.
• W2973163826 date "2019-09-09" @default.
• W2973163826 modified "2023-09-27" @default.
• W2973163826 title "Symmetry and Monotonicity of Positive Solutions to Schr{o}dinger Systems with Fractional $p$-Laplacian" @default.
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