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- W2034114465 abstract "This paper is devoted to the study of $L_{p}$ Lyapunov-type inequalities ($ 1 leq p leq +infty$) for linear partial differential equations at radial higher eigenvalues. More precisely, we treat the case of Neumann boundary conditions on balls in $real^{N}$. It is proved that the relation between the quantities $p$ and $N/2$ plays a crucial role to obtain nontrivial and optimal Lyapunov inequalities. By using appropriate minimizing sequences and a detailed analysis about the number and distribution of zeros of radial nontrivial solutions, we show significant qualitative differences according to the studied case is subcritical, supercritical or critical." @default.
- W2034114465 created "2016-06-24" @default.
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- W2034114465 date "2011-09-23" @default.
- W2034114465 modified "2023-10-17" @default.
- W2034114465 title "Lyapunov inequalities for Partial Differential Equations at radial higher eigenvalues" @default.
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