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- W4288302335 abstract "We study the following fractional elliptic equations of the type, begin{equation*} (-Delta)^{frac12}_A u = lambda u+f(|u|)u ,;textrm{in } ;(-1, 1),; u=0;textrm{in } ;mathbb Rsetminus (-1, 1), end{equation*} where $lambda$ is a positive real parameter and $(-Delta)^{frac12}_A$ is the fractional magnetic operator with $A:mathbb Rto mathbb R$ being a smooth magnetic field. Using a classical critical point theorems, we prove the existence of multiple solutions in the non-resonant case when the nonlinear term $f(t)$ has a critical exponential growth in the sense of Trudinger-Moser inequality." @default.
- W4288302335 created "2022-07-28" @default.
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- W4288302335 date "2019-06-27" @default.
- W4288302335 modified "2023-09-27" @default.
- W4288302335 title "Multiplicity results for fractional magnetic problems involving exponential growth" @default.
- W4288302335 doi "https://doi.org/10.48550/arxiv.1906.12013" @default.
- W4288302335 hasPublicationYear "2019" @default.
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