an:05656642
Zbl 1183.82097
Nee, Janpou
Nonlinear integral equation from the BCS gap equations of superconductivity
EN
Nonlinear Anal., Real World Appl. 11, No. 1, 190-197 (2010).
00256437
2010
j
82D55 45G15
existence and uniqueness of positive solutions; eigenvalue; system of integral equation; superconductivity; Bardeen-Cooper-Schieffer (BCS) theory
The main result of the present paper establishes that the critical temperature \(T_c\) of the occurence of superconductivity is determined by the the first eigenvalue of the kernel function in the context of the Markowitz-Kadanoff model. The results developed in the present paper show that the determination of the critical temperature may be reduced to a singleton equation. The proofs rely on elementary monotonicity techniques.
Vicen??iu D. R??dulescu (Craiova)