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- W4311389713 abstract "In this paper we study the fractional Brezis-Nirenberg type problems in unbounded cylinder-type domains begin{align*} begin{cases} (-Delta)^{s}u-mudfrac{u}{|x|^{2s}}=lambda u+|u|^{2^{ast}_{s}-2}u & text{in } Omega, u=0 & text{in } mathbb{R}^{N}setminus Omega, end{cases} end{align*} where $(-Delta)^{s}$ is the fractional Laplace operator with $sin(0,1)$, $muin[0,Lambda_{N,s})$ with $Lambda_{N,s}$ the best fractional Hardy constant, $lambda> 0$, $N> 2s$ and $2^{ast}_{s}={2N}/({N-2s})$ denotes the fractional critical Sobolev exponent. By applying the fractional Poincaré inequality together with the concentration-compactness principle for fractional Sobolev spaces in unbounded domains, we prove an existence result to the equation." @default.
- W4311389713 created "2022-12-26" @default.
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- W4311389713 date "2022-12-10" @default.
- W4311389713 modified "2023-10-14" @default.
- W4311389713 title "Existence results for fractional Brezis-Nirenberg type problems in unbounded domains" @default.
- W4311389713 doi "https://doi.org/10.12775/tmna.2022.009" @default.
- W4311389713 hasPublicationYear "2022" @default.
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