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Brustad, Peter Lindqvist","submitted_at":"2018-09-03T20:34:25Z","abstract_excerpt":"The Dominative $p$-Laplacian is the operator defined for $2\\le p < \\infty$ as follows: \\begin{equation}\\label{dominativep} \\mathcal{L}_{p}u(x)=\\frac{1}{p}\\left(\\lambda_{1}+\\ldots+\\lambda_{N-1}\\right)+\\frac{(p-1)}{p}\\lambda_{N},\n  \\end{equation} where we have ordered the eigenvalues of $D^{2}u(x)$ as $\\lambda_{1}\\le \\lambda_{2}\\ldots\\le\\lambda_{N}$. 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