Interface foliation for an inhomogeneous Allen-Cahn equation in Riemannian manifolds
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Publication:1949413
DOI10.1007/s00526-012-0521-4zbMath1267.58018OpenAlexW1988896536WikidataQ115387484 ScholiaQ115387484MaRDI QIDQ1949413
Publication date: 7 May 2013
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-012-0521-4
Nonlinear elliptic equations (35J60) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Perturbations of PDEs on manifolds; asymptotics (58J37)
Related Items (5)
Clustering of boundary interfaces for an inhomogeneous Allen-Cahn equation on a smooth bounded domain ⋮ Interior interfaces with (or without) boundary intersection for an anisotropic Allen-Cahn equation ⋮ Locations of interior transition layers to inhomogeneous transition problems in higher -dimensional domains ⋮ Layered solutions for a fractional inhomogeneous Allen-Cahn equation ⋮ Clustering phase transition layers with boundary intersection for an inhomogeneous Allen-Cahn equation
Cites Work
- Unnamed Item
- Interface foliation near minimal submanifolds in Riemannian manifolds with positive Ricci curvature
- Boundary-clustered interfaces for the Allen-Cahn equation
- Interior layers for an inhomogeneous Allen-Cahn equation
- The Jacobi-Toda system and foliated interfaces
- The Toda system and clustering interfaces in the Allen-Cahn equation
- Multiple-end solutions to the Allen-Cahn equation in \(\mathbb R^2\)
- Connectivity of phase boundaries in strictly convex domains
- Multi-layer solutions for an elliptic problem.
- Motion of a droplet by surface tension along the boundary
- From constant mean curvature hypersurfaces to the gradient theory of phase transitions.
- The gradient theory of phase transitions and the minimal interface criterion
- Clustering layers and boundary layers in spatially inhomogeneous phase transition problems.
- Multi-layered stationary solutions for a spatially inhomogeneous Allen--Cahn equation.
- Multidimensional boundary layers for a singularly perturbed Neumann problem
- Mixed states for an Allen-Cahn type equation. II
- On the existence of high multiplicity interfaces
- Clustered interior phase transition layers for an inhomogeneous Allen-Cahn equation in higher dimensional domains
- Transition layers for an inhomogeneous Allen-Cahn equation in Riemannian manifolds
- Morse index of layered solutions to the heterogeneous Allen-Cahn equation
- Boundary interface for the Allen-Cahn equation
- On the existence and Morse index of solutions to the Allen-Cahn equation in two dimensions
- Constant mean curvature hypersurfaces condensing on a submanifold
- Concentration on curves for nonlinear Schrödinger Equations
- Local minimisers and singular perturbations
- On the convergence of stable phase transitions
- Mixed states for an Allen‐Cahn type equation
- Higher energy solutions in the theory of phase transitions: A variational approach
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