Fractional elliptic problem involving a singularity, a critical exponent and a Radon measure

26 Feb 2020 Panda Akasmika Choudhuri Debajyoti Giri Ratan K.

In this paper, we prove the existence of a positive SOLA (Solutions Obtained as Limits of Approximations) to the following PDE involving fractional power of Laplacian. \begin{equation} \begin{split} (-\Delta)^su&= \frac{1}{u^\gamma}+\lambda u^{2_s^*-1}+\mu ~\text{in}~\Omega, u&>0~\text{in}~\Omega, u&= 0~\text{in}~\mathbb{R}^N\setminus\Omega... (read more)

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