On the existence of \(N\)-junctions for a symmetric nonnegative potential with \(N+1\) zeros
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Publication:6196027
DOI10.1007/s10884-021-10113-2OpenAlexW4205094196WikidataQ115382927 ScholiaQ115382927MaRDI QIDQ6196027
Publication date: 14 March 2024
Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10884-021-10113-2
Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47) Symmetries, invariants, etc. in context of PDEs (35B06)
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Cites Work
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- On De Giorgi's conjecture in dimension \(N\geq 9\)
- Entire solutions to equivariant elliptic systems with variational structure
- Saddle-type solutions for a class of semilinear elliptic equations
- 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
- Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones
- Elliptic systems of phase transition type
- Multiphase solutions to the vector Allen-Cahn equation: crystalline and other complex symmetric structures
- A variational approach to three-phase traveling waves for a gradient system
- Regularity of flat level sets in phase transitions
- A new proof of Savin's theorem on Allen-Cahn equations
- On the existence of connecting orbits for critical values of the energy
- Brake orbits type solutions to some class of semilinear elliptic equations
- Triple Junction Solutions for a Singularly Perturbed Neumann Problem
- Symmetric quadruple phase transitions
- 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
- Higher energy solutions in the theory of phase transitions: A variational approach
- On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property
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