Non-degenerate minimal submanifolds as energy concentration sets: a variational approach

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Critical points via $\Gamma $-convergence: general theory and applications
Regularity theory for almost minimal currents
Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature
The Jacobian and the Ginzburg-Landau energy
Quantitative minimality of strictly stable extremal submanifolds in a flat neighbourhood
Min-max for phase transitions and the existence of embedded minimal hypersurfaces
From constant mean curvature hypersurfaces to the gradient theory of phase transitions.
Integrality of varifolds in the singular limit of reaction-diffusion equations
A selection principle for the sharp quantitative isoperimetric inequality
Convergence of phase interfaces in the van der Waals-Cahn-Hilliard theory.
Existence and limiting behavior of min-max solutions of the Ginzburg-Landau equations on compact manifolds
Structural descriptions of limits of the parabolic Ginzburg-Landau equation on closed manifolds
Asymptotics for the Ginzburg-Landau equation on manifolds with boundary under homogeneous Neumann condition
Sharp stability inequalities for the Plateau problem
Convergence of the parabolic Ginzburg-Landau equation to motion by mean curvature
On the first variation of a varifold
Minimal submanifolds from the abelian Higgs model
A quantization property for static Ginzburg-Landau vortices.
Allen-Cahn approximation of mean curvature flow in Riemannian manifolds. I: Uniform estimates
Allen–Cahn approximation of mean curvature flow in Riemannian manifolds, II: Brakke's flows
Local minimisers and singular perturbations
A strong minimax property of nondegenerate minimal submanifolds.
Optimal interior and boundary regularity for almost minimizers to elliptic variational integrals
On the bumpy metrics theorem for minimal submanifolds
Variational convergence for functionals of Ginzburg-Landau type
Asymptotics for the Ginzburg-Landau equation in arbitrary dimensions
Entire solutions to 4 dimensional Ginzburg-Landau equations and codimension 2 minimal submanifolds
Double-well phase transitions are more rigid than minimal hypersurfaces
Convergence of the self‐dual U(1)‐Yang–Mills–Higgs energies to the (n−2)$(n-2)$‐area functional