Existence of positive solutions for a singular elliptic problem with critical exponent and measure data

We prove the existence of a positive {\it 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,...

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Hauptverfasser:	Panda, Akasmika, Choudhuri, Debajyoti, Giri, Ratan K
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
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