A note on fractional supersolutions
Copyright policy )A note on fractional supersolutions
Summary: We study 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 prove that the minimum of the corresponding weak supersolutions is a weak supersolution as well.
- University of Parma Italy
Fractional superharmonic function, fractional superharmonic functions, Fractional partial differential equations, A priori estimates in context of PDEs, fractional Sobolev spaces, Fractional Sobolev space, 510, Quasilinear nonlocal operators, Fractional Laplacian, QA1-939, quasilinear nonlocal operators, Nonlocal tail, fractional Laplacian, Integro-differential operators, Quasilinear elliptic equations with \(p\)-Laplacian, nonlocal tail, Quasilinear nonlocal operator, Analysis, Mathematics
Fractional superharmonic function, fractional superharmonic functions, Fractional partial differential equations, A priori estimates in context of PDEs, fractional Sobolev spaces, Fractional Sobolev space, 510, Quasilinear nonlocal operators, Fractional Laplacian, QA1-939, quasilinear nonlocal operators, Nonlocal tail, fractional Laplacian, Integro-differential operators, Quasilinear elliptic equations with \(p\)-Laplacian, nonlocal tail, Quasilinear nonlocal operator, Analysis, Mathematics
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