A semilinear Dirichlet problem involving the fractional Laplacian in R+ n
We investigate the Dirichelt problem involving the fractional Laplacian in the upper half-space R+n=x∈Rn∣x1>0 ${\mathbb{R}}_{+}^{n}=\left\{x\in {\mathbb{R}}^{n}\mid {x}_{1}{ >}0\right\}$ : (−Δ)su(x)=f(u(x)),x∈R+n, u(x)>0,x∈R+n, u(x)=0,x∉R+n. \begin{cases}\quad \hfill & {\left(-{\Delta}...
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| Format: | Article |
| Language: | English |
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De Gruyter
2024-03-01
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| Series: | Advanced Nonlinear Studies |
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| Online Access: | https://doi.org/10.1515/ans-2023-0102 |