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Removal of boundary singularities of pseudo‐holomorphic curves with Lagrangian boundary conditions
Author(s) -
Oh YongGeun
Publication year - 1992
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.3160450106
Subject(s) - holomorphic function , mathematics , gravitational singularity , symplectic geometry , boundary (topology) , lagrangian , bounded function , mathematical analysis , pure mathematics
We give a proof of the theorem of removing isolated singularities of pseudo‐holomorphic curves with Lagrangian boundary conditions and bounded symplectic area. The proof is a combination of some L p ‐type estimates, standard techniques of geometric P.D.E., and some ideas from symplectic geometry and calibration theory.