The existence of a symmetric global minimizer on implies the existence of a counter-example to a conjecture of De Giorgi in

DOI10.1016/S0764-4442(01)02079-1zbMath1014.35037OpenAlexW1999526518WikidataQ122861385 ScholiaQ122861385MaRDI QIDQ2761867

David S. Jerison, Régis Monneau

Publication date: 6 February 2003

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(01)02079-1

zbMATH Keywords

semilinear elliptic equationsnonplanar monotone solutionnontrivial monotone solutions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Elliptic equations and elliptic systems (35J99)

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