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Hessian inequalities and the fractional Laplacian

Journal für die reine und angewandte Mathematik (Crelles Journal), 2012
We study relations between the k-Hessian energy, and the fractional Sobolev energy , where F k (k = 1, . . . , n) is the k-Hessian operator on R n , and u is a k-convex function vanishing at ∞. We prove that there is a constant C > 0 such that C^(-1) E k [u] ≦ E k [u] ≦ CE k [u], where the lower estimate is obtained under some additional assumptions on
FERRARI, FAUSTO   +2 more
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Efficient Spectral Methods for PDEs with Spectral Fractional Laplacian

Journal of Scientific Computing, 2021
Changtao Sheng, Duo Cao, Jie Shen
semanticscholar   +1 more source

Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms

Journal of evolution equations (Printed ed.), 2019
Ning Pan   +3 more
semanticscholar   +1 more source

SPECTRUM OF POLY-LAPLACIAN AND FRACTIONAL LAPLACIAN

Differential Geometry of Submanifolds and its Related Topics, 2013
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