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Minimal Solutions for a Class of Elliptic Systems
Author(s) -
Montenegro Marcelo
Publication year - 2005
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/s0024609305004248
Subject(s) - mathematics , mathematics subject classification , class (philosophy) , elliptic curve , boundary (topology) , set (abstract data type) , plane (geometry) , pure mathematics , mathematical analysis , geometry , computer science , artificial intelligence , programming language
There exists a set U in the plane, such that elements of U correspond to minimal stable solutions of a two‐parameter elliptic system. For points on the boundary ϒ of U , there exist weak solutions to the elliptic system. The paper studies the properties of the curve ϒ. 2000 Mathematics Subject Classification 35J55, 35B05, 35K50, 35K55.