On a singular perturbation problem involving the distance to a curve
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Publication:1034841
DOI10.1007/BF02786561zbMath1173.35438MaRDI QIDQ1034841
Publication date: 8 November 2009
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Singular perturbations in context of PDEs (35B25) Variational methods for elliptic systems (35J50) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)
Related Items (5)
On a singular perturbation problem involving a “circular-well” potential ⋮ Dimension Reduction for the Landau--de Gennes Model: The Vanishing Nematic Correlation Length Limit ⋮ Asymptotic behavior of critical points of an energy involving a loop-well potential ⋮ A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals ⋮ Weak anchoring for a two-dimensional liquid crystal
Cites Work
- Unnamed Item
- Unnamed Item
- Uniqueness of the solution of a semilinear boundary value problem
- Existence of positive solutions of a semilinear elliptic equation in \(\mathbb{R}_+^n\) with a nonlinear boundary condition
- 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
- Quantization effects for \(-\Delta u=u(1-| u|^ 2)\) in \(\mathbb{R}^ 2\)
- Mathematical theory of medial axis transform
- The gradient theory of phase transitions and the minimal interface criterion
- Vortices for a variational problem related to superconductivity
- On the minimizers of a Ginzburg-Landau-type energy when the boundary condition has zeros
- Recent developements in the mathematical aspects of boundary layer theory
- ON NEMATICS STABILIZED BY A LARGE EXTERNAL FIELD
- Ginzburg-Landau vortices
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