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Stable solution and extremal solution for fractional $p$-Laplacian

open access: yes
To our knowledge, this paper is the first attempt to consider the existence issue for fractional $p$-Laplacian equation: $(-Δ)_p^s u= λf(u),\; u> 0 ~\text{in}~Ω;\; u=0\;\text{in}~ \mathbb{R}^N\setminusΩ$, where $p>1$, $s\in (0,1)$, $λ>0$ and $Ω$ is a bounded domain with $C^{1, 1}$ boundary. We first propose a notion of stable solution, then we
openaire   +2 more sources

Nonlinear wave propagation governed by a fractional derivative. [PDF]

open access: yesNat Commun
Hoang VT   +6 more
europepmc   +1 more source

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