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On a semilinear elliptic equation from the sigma model of quantum field theory

✍ Scribed by Janpou Nee

Publisher
Elsevier Science
Year
2011
Tongue
English
Weight
237 KB
Volume
12
Category
Article
ISSN
1468-1218

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✦ Synopsis

In this paper, we consider both the existence and the non-existence of solutions to the generalized semilinear elliptic equations from the sigma model of quantum field theory of condense matter. The interesting part of the result is that the conditions to prove the existence and the non-existence of the solution are not determined by the nonlinearity of the nonlinear function but rather the quantitative value of its source term.

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