Figalli, Alessio; Serra, Joaquim On stable solutions for boundary reactions: a De Giorgi-type result in dimension \(4 + 1\). (English) Zbl 1441.35254 Invent. Math. 219, No. 1, 153-177 (2020). Reviewer: Andrew Bucki (Edmond) MSC: 35R11 35J61 58E12 PDF BibTeX XML Cite \textit{A. Figalli} and \textit{J. Serra}, Invent. Math. 219, No. 1, 153--177 (2020; Zbl 1441.35254) Full Text: DOI arXiv OpenURL
Wang, Kelei A new proof of Savin’s theorem on Allen-Cahn equations. (English) Zbl 1388.35069 J. Eur. Math. Soc. (JEMS) 19, No. 10, 2997-3051 (2017). Reviewer: Christos Sourdis (Torino) MSC: 35J91 35B06 35B08 PDF BibTeX XML Cite \textit{K. Wang}, J. Eur. Math. Soc. (JEMS) 19, No. 10, 2997--3051 (2017; Zbl 1388.35069) Full Text: DOI arXiv OpenURL
Dancer, Norman 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). MSC: 35J66 35B25 35B40 35B44 PDF BibTeX XML Cite \textit{N. Dancer}, Fields Inst. Commun. 48, 67--93 (2006; Zbl 1259.35104) OpenURL
Jerison, David; Monneau, Régis Towards a counter-example to a conjecture of De Giorgi in high dimensions. (English) Zbl 1105.35037 Ann. Mat. Pura Appl., IV. Ser. 183, No. 4, 439-467 (2004). Reviewer: John Urbas (Canberra) MSC: 35J60 35J20 49Q05 PDF BibTeX XML Cite \textit{D. Jerison} and \textit{R. Monneau}, Ann. Mat. Pura Appl. (4) 183, No. 4, 439--467 (2004; Zbl 1105.35037) Full Text: DOI OpenURL
Cabré, Xavier 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). MSC: 35J60 35A30 35B05 35B45 PDF BibTeX XML Cite \textit{X. Cabré}, Prog. Math. 201, 259--265 (2001; Zbl 1101.35030) OpenURL
Alberti, Giovanni; Ambrosio, Luigi; Cabré, Xavier On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property. (English) Zbl 1121.35312 Acta Appl. Math. 65, No. 1-3, 9-33 (2001). Reviewer: Hans-Christoph Grunau (Magdeburg) MSC: 35J60 35B05 35A30 PDF BibTeX XML Cite \textit{G. Alberti} et al., Acta Appl. Math. 65, No. 1--3, 9--33 (2001; Zbl 1121.35312) Full Text: DOI OpenURL