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Results tagged with elliptic-pde
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user 140934
Questions about partial differential equations of elliptic type. Often used in combination with the top-level tag ap.analysis-of-pdes.
5
votes
1
answer
235
views
Bernstein's corollary for the case of half space
The early seminal result of Bernstein in 1914 for $n=2$ is the well-known Bernstein theorem:
The only entire solutions to the minimal surface equation in $\mathbb R^3$ are the affine functions
$$u(x, …
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