Geodesic
The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms
Documenta mathematica, Tome 14 (2009), pp. 167-189

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The existence of positive weak solutions is related to spectral information on the corresponding partial differential operator.
DOI : 10.4171/dm/269
Classification : 35P05, 81Q10 
Daniel Lenz; Peter Stollmann; Ivan Veselić. The Allegretto-Piepenbrink theorem for strongly local Dirichlet forms. Documenta mathematica, Tome 14 (2009), pp. 167-189. doi: 10.4171/dm/269
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     title = {The {Allegretto-Piepenbrink} theorem for strongly local {Dirichlet} forms},
     journal = {Documenta mathematica},
     pages = {167--189},
     year = {2009},
     volume = {14},
     doi = {10.4171/dm/269},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/269/}
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