On a singular perturbation problem involving a “circular-well” potential

DOI10.1090/S0002-9947-07-04344-9zbMath1149.35021MaRDI QIDQ5297030

Itai Shafrir, Nelly André

Publication date: 17 July 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

singular perturbationcircular-well potentialGinzburg-Landau energy equations

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20) Applications of variational problems in infinite-dimensional spaces to the sciences (58E50)

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Cites Work

• Unnamed Item
• Unnamed Item
• On a singular perturbation problem involving the distance to a curve
• The effect of a singular perturbation on nonconvex variational problems
• Minimization of a Ginzburg-Landau type functional with nonvanishing Dirichlet boundary condition
• Ginzburg-Landau type energy with discontinuous constraint
• Asymptotics for the minimization of a Ginzburg-Landau functional
• On the asymptotic behavior of minimizers of the Ginzburg-Landau model in 2 dimensions
• The gradient theory of phase transitions and the minimal interface criterion
• On the minimizers of a Ginzburg-Landau-type energy when the boundary condition has zeros
• The gradient theory of phase transitions for systems with two potential wells
• Ginzburg-Landau vortices