Spectral and stochastic properties of the $f$-Laplacian, solutions of PDE's at infinity, and geometric applications

Details Spectral and stochastic properties of the $f$-Laplacian, solutions of PDE's at infinity, and geometric applications Spectral and stochastic properties of the $f$-Laplacian, solutions of PDE's at infinity, and geometric applications

2011-07-06

arxiv.org/abs/1107.1172v1

Mathematics

Differential Geometry

Scientific paper

The aim of this paper is to suggest a new viewpoint to study qualitative
properties of solutions of semilinear elliptic PDE's defined outside a compact
set. The relevant tools come from spectral theory and from a combination of
stochastic properties of the relevant differential operators. Possible links
between spectral and stochastic properties are analyzed in detail.

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