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- W4387350268 abstract "We consider an overdetermined eigenvalue problem related to the MEMS operator given by Lτ := ∆2 − τ∆ on a smooth bounded domain Ω ⊂ R N , N ≥ 2. We give radial solutions on balls. Moreover, we establish a symmetry result with respect to operator Lτ , that is, under some hypotheses, we show that if a solution does exist to the overdetermined eigenvalue problem, then the domain Ω must be a ball." @default.
- W4387350268 created "2023-10-05" @default.
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- W4387350268 date "2023-01-01" @default.
- W4387350268 modified "2023-10-06" @default.
- W4387350268 title "On an overdetermined eigenvalue problem with mems operator" @default.
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- W4387350268 doi "https://doi.org/10.59277/mrar.2023.25.75.3.365" @default.
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