Nonexistence of Permanent Currents in Convex Planar Samples

DOI10.1137/S0036141001386027zbMath1055.49031OpenAlexW2085998618MaRDI QIDQ4785716

Peter Sternberg, Shuichi Jimbo

Publication date: 5 January 2003

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036141001386027

zbMATH Keywords

stabilityGinzburg-Landau systemconvex domains

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Variational methods for elliptic systems (35J50) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Statistical mechanics of superconductors (82D55) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

Related Items (5)

Instability of solutions to the Ginzburg-Landau equation on \(S^n\) and \(\mathbb{C} \mathbb{P}^n\) ⋮ Stable solutions to the abelian Yang-Mills-Higgs equations on \(S^2\) and \(T^2\) ⋮ Stable solutions to the Ginzburg-Landau equation with magnetic effect in thin domain ⋮ Local minimizers of the Ginzburg-Landau energy with magnetic field in three dimensions ⋮ Elliptic problems on networks with constrictions

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