The "hot spots" problem in planar domains with one hole
classification
🧮 math.AP
math.PR
keywords
boundarydomainholeplanarattainsconditionsdomainseigenfunction
read the original abstract
There exists a planar domain with piecewise smooth boundary and one hole such that the second eigenfunction for the Laplacian with Neumann boundary conditions attains its maximum and minimum inside the domain.
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