Electron. J. Diff. Equ., Vol. 2012 (2012), No. 145, pp. 1-6.

Minimizers of a variational problem inherit the symmetry of the domain

Marcelo Montenegro, Enrico Valdinoci

We give a general framework under which the minimizers of a variational problem inherit the symmetry of the ambient space. The main technique used is the moving plane (or sliding) method.

Submitted March 27, 2012. Published August 21, 2012.
Math Subject Classifications: 35A30, 47J30, 49K30, 35J85, 35J60, 58E05.
Key Words: Minimizers; PDEs; symmetry.

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Marcelo Montenegro
Departamento de Matemática
Universidade Estadual de Campinas - IMECC
Rua Sérgio Buarque de Holanda, 651
Campinas-SP, CEP 13083-859, Brazil
email: msm@ime.unicamp.br
Enrico Valdinoci
Dipartimento di Matematica
Università di Roma Tor Vergata
Via della Ricerca Scientifica, 1
00133 Roma, Italy
email: enrico@math.utexas.edu

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