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arXiv · 1107.1172

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

G. Pacelli Bessa·Stefano Pigola·Alberto G. Setti
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Abstract

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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G. Pacelli Bessa, Stefano Pigola, Alberto G. Setti. 2012-08-04. Spectral and stochastic properties of the $f$-Laplacian, solutions of PDE's at infinity, and geometric applications. https://arxiv.org/abs/1107.1172

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