On the triple junction problem without symmetry hypotheses

DOI10.1007/s00205-024-01966-0arXiv2210.17134MaRDI QIDQ6204816

Publication date: 2 April 2024

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.17134

Mathematics Subject Classification ID

Existence theories in calculus of variations and optimal control (49Jxx) Elliptic equations and elliptic systems (35Jxx) Qualitative properties of solutions to partial differential equations (35Bxx)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Density estimates for vector minimizers and applications
Entire solutions of the Allen-Cahn equation and complete embedded minimal surfaces of finite total curvature in $\mathbb{R}^3$
A maximum principle for systems with variational structure and an application to standing waves
On De Giorgi's conjecture in dimension $N\geq 9$
Minimal interface criterion for phase transitions in mixtures of Cahn- Hilliard fluids
The effect of a singular perturbation on nonconvex variational problems
The structure of singularities in soap-bubble-like and soap-film-like minimal surfaces
On a conjecture of De Giorgi and some related problems
Global minimizers of the Allen-Cahn equation in dimension $n\geq 8$
Min-max for phase transitions and the existence of embedded minimal hypersurfaces
Existence of least-energy configurations of immiscible fluids
Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones
Elliptic systems of phase transition type
Connecting orbits in Hilbert spaces and applications to P.D.E
Layered solutions to the vector Allen-Cahn equation in $\mathbb{R}^2$. Minimizers and heteroclinic connections
Regularity of flat level sets in phase transitions
A new proof of Savin's theorem on Allen-Cahn equations
Some basic facts on the system $\Delta u - W_{u} (u) = 0$
$1$D symmetry for solutions of semilinear and quasilinear elliptic equations
On the connectedness of boundary and complement for domains
Metric methods for heteroclinic connections in infinite dimensional spaces
Symmetric quadruple phase transitions
The gradient theory of phase transitions for systems with two potential wells
Elliptic Partial Differential Equations of Second Order
Local minimisers of a three-phase partition problem with triple junctions
Asymmetric heteroclinic double layers
Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
A three-layered minimizer in R2 for a variational problem with a symmetric three-well potential
The role of minimal surfaces in the study of the Allen-Cahn equation
On the structure of phase transition maps for three or more coexisting phases
Flat Chains Over a Finite Coefficient Group
Higher energy solutions in the theory of phase transitions: A variational approach
A relation of the Allen-Cahn equations and the Euler equations and applications of the equipartition

This page was built for publication: On the triple junction problem without symmetry hypotheses