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Linearity of homogeneous order‐one solutions to elliptic equations in dimension three
Author(s) -
Han Qing,
Nadirashvili Nikolai,
Yuan Yu
Publication year - 2003
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.10064
Subject(s) - homogeneous , mathematics , order (exchange) , dimension (graph theory) , humanities , combinatorics , philosophy , finance , economics
We prove that any homogeneous order one solution to 3-d nondivergenceelliptic equations must be linear.