For every sufficiently large dimension d, there exist smooth convex domains whose first nontrivial Neumann eigenfunction attains its maximum strictly inside the domain.
Parabolic theory as a high-dimensional limit of elliptic theory
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
citation-role summary
background 1
citation-polarity summary
fields
math.AP 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Convex sets can have interior hot spots
For every sufficiently large dimension d, there exist smooth convex domains whose first nontrivial Neumann eigenfunction attains its maximum strictly inside the domain.