Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations

We deal with a class of equations driven by nonlocal, possibly degenerate, integro-differential operators of differentiability order $s\in (0,1)$ and summability growth $p>1$, whose model is the fractional $p$-Laplacian with measurable coefficients. We state and prove several results for the corr...

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Hauptverfasser:	Korvenpaa, Janne, Kuusi, Tuomo, Palatucci, Giampiero
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Analysis of PDEs
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