Abstract
In this paper, we use the theory of fixed point index for the Schrodinger operator equations to obtain a geometrical property of a-rarefied sets at infinity on cones. Meanwhile, we give an example to show that the reverse of this property is not true.
Highlights
In this paper, we use the theory of fixed point index for the Schrödinger operator equations to obtain a geometrical property of a-rarefied sets at infinity on cones
D and Q in Rn is denoted by |P – Q|
|P – O| with the origin O of Rn is denoted by |P|
Summary
We use the theory of fixed point index for the Schrödinger operator equations to obtain a geometrical property of a-rarefied sets at infinity on cones. I Cn( ), we denote the set R+ × in Rn with the domain on Sn– . T We shall say that a set H ⊂ Cn( ) has a covering {rj, Rj} if there exists a sequence of balls Throughout this paper, let c denote various positive constants, because we do not need to specify them.
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