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.

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

PIGOLA, STEFANO;SETTI, ALBERTO GIULIO
2013-01-01

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.
2013
G., Pacelli Bessa; Pigola, Stefano; Setti, ALBERTO GIULIO
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11383/1735932
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