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MINIMAL SOLUTIONS FOR A CLASS OF ELLIPTIC SYSTEMS

Published online by Cambridge University Press:  01 June 2005

MARCELO MONTENEGRO
MARCELO MONTENEGRO
Affiliation:
Universidade Estadual de Campinas, IMECC, Departamento de Matemática, Caixa Postal 6065, CEP 13083-970, Campinas, SP, Brazilmsm@ime.unicamp.br
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Abstract

There exists a set $\cal U$ in the plane, such that elements of $\cal U$ correspond to minimal stable solutions of a two-parameter elliptic system. For points on the boundary $\Upsilon$ of $\cal U$, there exist weak solutions to the elliptic system. The paper studies the properties of the curve $\Upsilon$.

Keywords

35J5535B0535K5035K55
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 37 , Issue 3 , June 2005 , pp. 405 - 416
Copyright
© The London Mathematical Society 2005

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