non-Hilbertian
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Related Articles from SNS
A Mixed Virtual Element Method for the p-Laplace equation
arXiv:2606.07477v1 Announce Type: new Abstract: We introduce and analyze a mixed Virtual Element Method for the $p$-Laplace equation in a non-Hilbertian setting, covering the full range $p \in (1, \infty)$. The discrete framework combines standard mixed Virtual Element spaces with a novel non-linear stabilization term designed to mimic the power-law structure of the continuous operator. We establish discrete inf-sup stability under non-Hilbertian norms and rigorously prove the continuity and...