Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications (Q1955676)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications |
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Spectral and stochastic properties of the \(f\)-Laplacian, solutions of PDEs at infinity and geometric applications (English)
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17 June 2013
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Summary: The aim of this paper is to suggest a new perspective to study qualitative properties of solutions of semilinear elliptic partial differential equations defined outside a compact set. The relevant tools in this setting come from spectral theory and from a combination of stochastic properties of the differential operators in question. Possible links between spectral and stochastic properties are analyzed in detail.
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weighted Laplacians
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Feller property
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stochastic completeness
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essential spectrum
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gradient Ricci solitons
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solutions
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semilinear elliptic partial differential equations
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