Some new symmetry results for elliptic problems on the sphere and in Euclidean space
There are given symmetry results for positive solutions of elliptic problems in \(\mathbb{R}^n\) and on the sphere. The authors consider linear boundary value problems as well as a semilinear problem for the \(p\)-Laplacian operator and the Laplace-Beltrami operator. The techniques utilized are the moving plane method, rearrangement inequalities and stereographic projection.
scientific article; zbMATH DE number 1846800
scientific article