Communication Dans Un Congrès Année : 1991

Symmetrization on the sphere and applications

Résumé

We introduce a new method of symmetrization of mappings on the $n$-sphere ($n\geq 2$). They are applied to estimate solutions of quasilinear elliptic partial differential equations of $p$-Laplacian type, with combinations of Dirac measures on the right-hand side. The case $p=n$ is reduced to a problem on the sphere, using a conformal transformation. The cases when $1n$ are considered more briefly, full details being available in other papers of the author.

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hal-00004949 , version 1 (10-07-2025)

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Satyanad Kichenassamy. Symmetrization on the sphere and applications. Nonlinear Partial Differential Equations and Applications, Collège de France Seminar vol. X (1987-88), H. Brezis; J.-L. Lions, 1991, Paris, France. pp.272-283. ⟨hal-00004949⟩
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