Electron. J. Diff. Eqns., Vol. 2003(2003), No. 71, pp. 1-8.

Geometric properties of solutions to maximization problems

Fabrizio Cuccu, Kanhaiya Jha, & Giovanni Porru

Abstract:
We investigate the geometric configuration of the maxima of some functionals associated with solutions to Dirichlet problems for special elliptic equations. We also discuss the symmetry breaking and symmetry preservation of the solutions in some particular cases.

Submitted December 2, 2002. Published June 24, 2003.
Math Subject Classifications: 35J25, 49K20, 49J20.
Key Words: Functionals, maximization, symmetry

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Fabrizio Cuccu
Mathematics Department
Universita di Cagliari
via Ospedale 72, 09124 Cagliari, Italy
email: fcuccu@unica.it
Kanhaiya Jha
Kathmandu University
Mathematics Department
Kathmandu, Nepal
email: jhakn@ku.edu.np
Giovanni Porru
Mathematics Department
Universita di Cagliari
via Ospedale 72, 09124 Cagliari, Italy
email: porru@unica.it

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