Abstract
In this paper, we find some superharmonic functions, which relate to the convexity estimates for Green’s function and the first eigenfunction of Laplace operator with homogeneous Dirichlet boundary conditions in bounded convex domains of Rn.
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The second author was supported by National Key Research and Development Project SQ2020YFA070080, the National Natural Science Foundation of China under Grants 11871255 and 11721101. The third author was supported by the National Natural Science Foundation of China under Grant 11971137 and 11771396.
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Jia, X., Ma, XN. & Shi, S. Convexity Estimates for Green’s Function and the First Eigenfunction of Laplace Operator. Potential Anal 59, 1525–1545 (2023). https://doi.org/10.1007/s11118-022-10023-y
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DOI: https://doi.org/10.1007/s11118-022-10023-y