## Found 6 Documents (Results 1–6)

### On stable solutions for boundary reactions: a De Giorgi-type result in dimension $$4 + 1$$.(English)Zbl 1441.35254

MSC:  35R11 35J61 58E12
Full Text:

### A new proof of Savin’s theorem on Allen-Cahn equations.(English)Zbl 1388.35069

MSC:  35J91 35B06 35B08
Full Text:

### Stable and not too unstable solutions on $$\mathbb R^n$$ for small diffusion.(English)Zbl 1259.35104

Brunner, Hermann (ed.) et al., Nonlinear dynamics and evolution equations. Based on lectures given during the international conference, St. John’s, NL, Canada, July 6–10, 2004. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3721-4/hbk). Fields Institute Communications 48, 67-93 (2006).

### Towards a counter-example to a conjecture of De Giorgi in high dimensions.(English)Zbl 1105.35037

MSC:  35J60 35J20 49Q05
Full Text:

### A conjecture of De Giorgi on symmetry for elliptic equations in $$\mathbb R^n$$.(English)Zbl 1101.35030

Casacuberta, Carles (ed.) et al., 3rd European congress of mathematics (ECM), Barcelona, Spain, July 10–14, 2000. Volume I. Basel: Birkhäuser (ISBN 3-7643-6417-3/hbk; 3-7643-6419-X/set). Prog. Math. 201, 259-265 (2001).

### On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property.(English)Zbl 1121.35312

MSC:  35J60 35B05 35A30
Full Text: