Symmetric vortices for the Ginzberg-Landau equations of superconductivity and the nonlinear desingularization phenomenon☆

摘要: Abstract The existence of countably many distinct symmetric vortices for the nonlinear Ginzberg-Landau equations superconductivity with an arbitrary positive parameter λ is proven. We then prove a linearization phenomenon as → ∞. In this case linearized contain appropriate Dirac delta function. These are known London equations.