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- W2964031427 abstract "We consider the minimal energy problem on the unit sphere $${mathbb {S}}^2$$ in the Euclidean space $${mathbb {R}}^3$$ immersed in an external field Q, where the charges are assumed to interact via Newtonian potential 1/r, r being the Euclidean distance. The problem is solved by finding the support of the extremal measure, and obtaining an explicit expression for the equilibrium density. We then apply our results to an external field generated by a point charge, and to a quadratic external field." @default.
- W2964031427 created "2019-07-30" @default.
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- W2964031427 date "2016-02-05" @default.
- W2964031427 modified "2023-10-06" @default.
- W2964031427 title "Weighted energy problem on the unit sphere" @default.
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- W2964031427 doi "https://doi.org/10.1007/s13324-016-0125-9" @default.
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