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Hessian inequalities and the fractional Laplacian
Journal für die reine und angewandte Mathematik (Crelles Journal), 2012We 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, 2021Changtao Sheng, Duo Cao, Jie Shen
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On a class of fractional Laplacian problems with variable exponents and indefinite weights
Collectanea Mathematica, 2020N. T. Chung, H. Q. Toan
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An Efficient and Accurate Numerical Method for the Spectral Fractional Laplacian Equation
Journal of Scientific Computing, 2020Sheng Chen, Jie Shen
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SPECTRUM OF POLY-LAPLACIAN AND FRACTIONAL LAPLACIAN
Differential Geometry of Submanifolds and its Related Topics, 2013openaire +2 more sources
Degenerate Kirchhoff-type hyperbolic problems involving the fractional Laplacian
, 2018Ning Pan, P. Pucci, Binlin Zhang
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