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- W4306764564 abstract "The present paper studies the non-local fractional analogue of the famous paper of Brezis and Nirenberg in [4]. Namely, we focus on the following model, $$begin{align*}left(mathcal{P}right) begin{cases} left(-Deltaright)^s u-lambda u &= alpha |u|^{p-2}u + beta|u|^{2^*-2}u quadmbox{in}quad Omega, u&=0quadmbox{in}quadmathbb{R}^NsetminusOmega, end{cases} end{align*}$$ where $(-Delta)^s$ is the fractional Laplace operator, $s in (0,1)$, with $N geq 3s$, $2<p<2^*$, $beta>0, lambda, alpha in mathbb{R}$ and establish the existence of nontrivial solutions and sign-changing solutions for the problem $(mathcal{P})$." @default.
- W4306764564 created "2022-10-19" @default.
- W4306764564 creator A5044266541 @default.
- W4306764564 date "2020-09-07" @default.
- W4306764564 modified "2023-09-26" @default.
- W4306764564 title "On the existence of multiple solutions for fractional Brezis Nirenberg type equations" @default.
- W4306764564 doi "https://doi.org/10.48550/arxiv.2009.03064" @default.
- W4306764564 hasPublicationYear "2020" @default.
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