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- W2024588827 abstract "We study the variational problem related to the onset of superconductivity that identifies the transition from the normal state to the superconducting state of a sample in the presence of an applied magnetic field. Our concern is a thin sample whose 2-D cross-section has a corner. In particular, we focus on the quarter-plane. We show a first eigenfunction minimizing the associated Rayleigh quotient exists and decays away from the corner. We also give a rigorous upper bound for the eigenvalue which is related to the critical temperature at which superconductivity emerges." @default.
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- W2024588827 title "The onset of superconductivity in a domain with a corner" @default.
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- W2024588827 doi "https://doi.org/10.1063/1.1387466" @default.
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