Document Zbl 0820.47067

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Uniqueness results for the gap equation in the theory of superconductivity. (English) Zbl 0820.47067

Differ. Integral Equ. 8, No. 2, 309-324 (1995).

Summary: 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.

MSC:

47J05	Equations involving nonlinear operators (general)
47B38	Linear operators on function spaces (general)
47H30	Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.)

Keywords:

gap equation in superconductivity theory; positive kernel

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