We investigate a maximization problem involving the energy integral of the solutions to special elliptic equations and find estimates concerning the optimal configurations. To prove our results we shall use a maximum principle for the P-function in case of weak solutions for general semilinear equations. Finally, we investigate the particular case of a dumbbell domain.
Estimates for solutions to optimization problems on elliptic equations
CUCCU, FABRIZIO;MARRAS, MONICA;
2004-01-01
Abstract
We investigate a maximization problem involving the energy integral of the solutions to special elliptic equations and find estimates concerning the optimal configurations. To prove our results we shall use a maximum principle for the P-function in case of weak solutions for general semilinear equations. Finally, we investigate the particular case of a dumbbell domain.
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