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- W4362653886 abstract "We study the following fractional Schrödinger equation with discontinuous nonlinearity: begin{document}$ begin{align*} left{ begin{array}{ll} (-Delta)^{s}u + V( varepsilon x) u = H(u-beta)f(u) mbox{ in } mathbb{R}^{N}, u>0 mbox{ in } mathbb{R}^{N}, end{array} right. end{align*} $end{document} where $ varepsilon, beta>0 $, $ sin (0, 1) $, $ N> 2s $, $ H $ is the Heaviside function, $ (-Delta)^{s} $ is the fractional Laplacian operator, $ V:mathbb{R}^{N} rightarrow mathbb{R} $ is a continuous potential satisfying del Pino-Felmer type assumptions and $ f:mathbb{R}rightarrow mathbb{R} $ is a superlinear continuous nonlinearity with subcritical growth at infinity. By using a penalization method and nonsmooth analysis, we investigate the existence and concentration of solutions for the above problem." @default.
- W4362653886 created "2023-04-07" @default.
- W4362653886 creator A5082958607 @default.
- W4362653886 date "2023-01-01" @default.
- W4362653886 modified "2023-09-27" @default.
- W4362653886 title "Concentration phenomenon for a fractional Schrödinger equation with discontinuous nonlinearity" @default.
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- W4362653886 doi "https://doi.org/10.3934/dcdss.2023074" @default.
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