Local minimizer and de Giorgi's type conjecture for the isotropic-nematic interface problem
DOI10.1007/S00526-018-1404-0zbMath1400.82287OpenAlexW2887171858WikidataQ123146259 ScholiaQ123146259MaRDI QIDQ1800873
Zhifei Zhang, Jiajie Chen, Pingwen Zhang
Publication date: 26 October 2018
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-018-1404-0
Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Phase transitions (general) in equilibrium statistical mechanics (82B26) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24) Critical phenomena in equilibrium statistical mechanics (82B27) Semilinear elliptic equations (35J61) Second-order elliptic systems (35J47)
Related Items (1)
Cites Work
- De Giorgi type results for elliptic systems
- On minimizers for the isotropic-nematic interface problem
- On De Giorgi's conjecture in dimension \(N\geq 9\)
- Corrections to: Vector-valued local minimizers of nonconvex variational problems
- On a conjecture of De Giorgi and some related problems
- Regularity of flat level sets in phase transitions
- Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi
- Rigorous Derivation from Landau--de Gennes Theory to Ericksen--Leslie Theory
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