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- W2798283009 abstract "In this paper we consider the following Schrodinger-Poisson system in the whole $mathbb R^{3}$, begin{equation*} left{ begin{array}{ll} -Delta u+u+ lambda phi u=f(u) &text{ in } mathbb R^3, -Delta phi= u^2 &text{ in } mathbb R^3, end{array} right. end{equation*} where $lambda>0$ and the nonlinearity $f$ is asymptotically cubic at infinity. This implies that the nonlocal term $phi u$ and the nonlinear term $f(u)$ are, in some sense, in a strict competition. We show that the system admits a least energy sign-changing and radial solution obtained by minimizing the energy functional on the so-called {nodal Nehari set)." @default.
- W2798283009 created "2018-05-07" @default.
- W2798283009 creator A5051216000 @default.
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- W2798283009 date "2018-05-01" @default.
- W2798283009 modified "2023-09-27" @default.
- W2798283009 title "Least energy radial sign-changing solution for the Schroinger-Poisson system in r3 under an asymptotically cubic nonlinearity" @default.
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