Alikakos, Nicholas D.; Gazoulis, Dimitrios; Zarnescu, Arghir Entire minimizers of Allen-Cahn systems with sub-quadratic potentials. (English) Zbl 07818494 J. Dyn. Differ. Equations 36, No. 1, Suppl., S253-S285 (2024). MSC: 35-XX 34-XX PDFBibTeX XMLCite \textit{N. D. Alikakos} et al., J. Dyn. Differ. Equations 36, No. 1, S253--S285 (2024; Zbl 07818494) Full Text: DOI arXiv
Alikakos, N. D.; Fusco, G. Sharp lower bounds for the vector Allen-Cahn energy and qualitative properties of minimizers under no symmetry hypotheses. (English) Zbl 1518.35291 Bull. Hell. Math. Soc. 67, 12-58 (2023). MSC: 35J47 35A15 PDFBibTeX XMLCite \textit{N. D. Alikakos} and \textit{G. Fusco}, Bull. Hell. Math. Soc. 67, 12--58 (2023; Zbl 1518.35291) Full Text: Link
Alikakos, Nicholas D.; Geng, Zhiyuan; Zarnescu, Arghir Asymptotic behavior of the interface for entire vector minimizers in phase transitions. (English) Zbl 1497.35025 J. Funct. Anal. 283, No. 6, Article ID 109565, 35 p. (2022). Reviewer: Cristina Pignotti (L’Aquila) MSC: 35B08 35J20 35J61 PDFBibTeX XMLCite \textit{N. D. Alikakos} et al., J. Funct. Anal. 283, No. 6, Article ID 109565, 35 p. (2022; Zbl 1497.35025) Full Text: DOI arXiv
Alikakos, Nicholas D.; Fusco, Giorgio Density estimates for vector minimizers and applications. (English) Zbl 1352.35055 Discrete Contin. Dyn. Syst. 35, No. 12, 5631-5663 (2015). Reviewer: Fabio Paronetto (Padova) MSC: 35J70 35B40 35J20 35J47 35J50 49J45 PDFBibTeX XMLCite \textit{N. D. Alikakos} and \textit{G. Fusco}, Discrete Contin. Dyn. Syst. 35, No. 12, 5631--5663 (2015; Zbl 1352.35055) Full Text: DOI arXiv
Alikakos, Nicholas D.; Fusco, Giorgio A maximum principle for systems with variational structure and an application to standing waves. (English) Zbl 1331.35124 J. Eur. Math. Soc. (JEMS) 17, No. 7, 1547-1567 (2015). Reviewer: Giovanni Anello (Messina) MSC: 35J50 35J47 35J20 PDFBibTeX XMLCite \textit{N. D. Alikakos} and \textit{G. Fusco}, J. Eur. Math. Soc. (JEMS) 17, No. 7, 1547--1567 (2015; Zbl 1331.35124) Full Text: DOI arXiv
Alikakos, Nicholas D. A new proof for the existence of an equivariant entire solution connecting the minima of the potential for the system \(\Delta u- W_u(u)=0\). (English) Zbl 1268.35051 Commun. Partial Differ. Equations 37, No. 10-12, 2093-2115 (2012). MSC: 35J50 PDFBibTeX XMLCite \textit{N. D. Alikakos}, Commun. Partial Differ. Equations 37, No. 10--12, 2093--2115 (2012; Zbl 1268.35051) Full Text: DOI arXiv
Alikakos, Nicholas D.; Fusco, Giorgio Entire solutions to equivariant elliptic systems with variational structure. (English) Zbl 1266.35055 Arch. Ration. Mech. Anal. 202, No. 2, 567-597 (2011). Reviewer: Huansong Zhou (Wuhan) MSC: 35J50 35B08 PDFBibTeX XMLCite \textit{N. D. Alikakos} and \textit{G. Fusco}, Arch. Ration. Mech. Anal. 202, No. 2, 567--597 (2011; Zbl 1266.35055) Full Text: DOI arXiv
Alikakos, Nicholas; Kowalczyk, Michał Critical points of a singular perturbation problem via reduced energy and local linking. (English) Zbl 0942.35078 J. Differ. Equations 159, No. 2, 403-426 (1999). Reviewer: V.P.Burskii (Donetsk) MSC: 35J65 35B25 35B38 35A15 PDFBibTeX XMLCite \textit{N. Alikakos} and \textit{M. Kowalczyk}, J. Differ. Equations 159, No. 2, 403--426 (1999; Zbl 0942.35078) Full Text: DOI