Optimization problems on general classes of rearrangements

CUCCU, FABRIZIO;Porru G;Sakaguchi S.

2011-01-01

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Abstract

This paper is concerned with maximization and minimization problems of the energy integral associated to p-Laplace equations depending on functions that belong to a class of rearrangements. We prove existence and uniqueness results, and present some features of optimal solutions. The radial case is discussed in detail. We also prove a result of uniqueness for a class of p-Laplace equations under non-standard assumptions.