On Phase-Separation Models: Asymptotics and Qualitative Properties

By Henri Berestycki, Tai-Chia Lin, Jun-cheng Wei, Chunyi Zhao. 2013

73 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/da631064584052eda9e41a7aeca104c9437c1508

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Mostafa Fazly
2. Nicola Soave
3. Nassif Ghoussoub
4. Alessandro Zilio
5. Thomas Bartsch
6. Daomin Cao

In Computational Theory and Mathematics

1. Mostafa Fazly
2. Nicola Soave
3. Nassif Ghoussoub
4. Alessandro Zilio

Citations in the corpus

• Uniform Bounds for Strongly Competing Systems: The Optimal Lipschitz Case (2014, background): “First of all, there exists C̄ > 0 such that Ji,n(r) ≥ C̄ for every r ∈ [2, 10] and i = 1, 2.”
• De Giorgi type results for elliptic systems (2012, result): “en yields Xm i=1 Z RN φ2 i|∇σi| 2ζ2 R= 0, which means that σi for all i= 1,...,mmust be constant. ✷ Our first application is the following extension of a recent result by Berestycki, Lin, Wei and Zhao [7] who considered a system of m= 2 equations and the nonlinearity H(t,s) = 1 2t 2s2, which also app”