Proves hot spots conjecture holds for lip domains and n-symmetric domains in Gaussian spaces via Hodge Laplacian variational methods.
Ashbaugh, Fritz Gesztesy, Marius Mitrea, and Gerald Teschl,Spectral theory for perturbed Krein Laplacians in nonsmooth domains, Adv
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The hot spots conjecture on Gaussian spaces
Proves hot spots conjecture holds for lip domains and n-symmetric domains in Gaussian spaces via Hodge Laplacian variational methods.