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- W1639330949 abstract "Let ! and be bounded simply connected domains in R 2 , and let ¯ ! � . In the annular domain A = ¯ we consider the class J of complex valued maps having modulus 1 and degree 1 on @ and @!. It was conjectured in (5) that the existence of minimizers of the Ginzburg-Landau energy Ein J is completely determined by the value of the H 1 -capacity cap(A) of the domain and the value of the Ginzburg-Landau parameter �. The existence of minimizers of Efor allwhen cap(A) � � (domain A is thin) and for smallwhen cap(A) �1 while it is attained when � < �1." @default.
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- W1639330949 date "2006-01-01" @default.
- W1639330949 modified "2023-09-23" @default.
- W1639330949 title "Capacity of a multiply-connected domain and nonexistence of Ginzburg-Landau minimizers with prescribed degrees on the boundary." @default.
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