Rearrangement inequalities and applications to isoperimetric problems for eigenvalues

By François Hamel, Nikolai Nadirashvili, E. Russ. 2006

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Let be a bounded C 2 domain in R n , where n is any positive integer, and let be the Euclidean ball centered at 0 and having the same Lebesgue measure as . Consider the operator L = div(Ar) +vr +V on with Dirichlet boundary condition, where the symmetric matrix

Subfields: Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics

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