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