Comparison results for solutions of Poisson equations with Robin boundary on complete Riemannian manifolds
نویسندگان
چکیده
In this paper, by using Schwarz rearrangement and isoperimetric inequalities, we prove comparison results for the solutions of Poisson equations on complete Riemannian manifolds with [Formula: see text], text] or which extends in [A. Alvino, C. Nitsch Trombetti, A Talenti result to elliptic problems Robin boundary conditions, Comm. Pure Appl. Math. 76(3) (2023) 585–603]. Furthermore, as applications our results, obtain Saint-Venant inequality Bossel–Daners Laplacian.
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ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2023
ISSN: ['1793-6519', '0129-167X']
DOI: https://doi.org/10.1142/s0129167x23500453