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- W3016222016 abstract "In this article, we show the existence of a unique entropy solution to the following problem. begin{equation} begin{split} (-Delta)_{p,alpha}^su&= f(x)h(u)+g(x) ~text{in}~Omega, u&>0~text{in}~Omega, u&= 0~text{in}~mathbb{R}^NsetminusOmeganonumber end{split} end{equation} where the domain $Omegasubset mathbb{R}^N$ is bounded and contains the origin, $ alphain[0,frac{N-ps}{2})$, $sin (0,1)$, $2-frac{s}{N} 1$, $h$ is a general singular function with singularity at 0, the fractional $p$-Laplacian with weight $alpha$ is given by $$(-Delta)_{p,alpha}^su(x)=text{P. V.}int_{mathbb{R}^N}frac{|u(x)-u(y)|^{p-2}(u(x)-u(y))}{|x-y|^{N+ps}}frac{dy}{|x|^alpha|y|^{alpha}}.$$" @default.
- W3016222016 created "2020-04-17" @default.
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- W3016222016 date "2020-04-08" @default.
- W3016222016 modified "2023-09-27" @default.
- W3016222016 title "A weighted fractional problem involving a singular nonlinearity and a $L^1$ data" @default.
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