Differential and Integral Equations

Uniqueness results for the gap equation in the theory of superconductivity

Yi Hong Du

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Abstract

We consider the gap equation in superconductivity theory with a positive kernel. Under reasonable conditions on the kernel function, we prove that there exists at most one positive solution. This together with the known existence result gives a fairly complete understanding of the gap equation.

Article information

Source
Differential Integral Equations, Volume 8, Number 2 (1995), 309-324.

Dates
First available in Project Euclid: 20 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1369083471

Mathematical Reviews number (MathSciNet)
MR1296126

Zentralblatt MATH identifier
0820.47067

Subjects
Primary: 82D55: Superconductors
Secondary: 45G10: Other nonlinear integral equations

Citation

Du, Yi Hong. Uniqueness results for the gap equation in the theory of superconductivity. Differential Integral Equations 8 (1995), no. 2, 309--324. https://projecteuclid.org/euclid.die/1369083471


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