Harnack’s inequality for Schrödinger operators and the continuity of solutions
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- by F. Chiarenza, E. Fabes and N. Garofalo PDF
- Proc. Amer. Math. Soc. 98 (1986), 415-425 Request permission
Abstract:
We prove a uniform Harnack inequality for nonnegative solutions of $Au = Vu$, where $A$ is a second order elliptic operator in divergence form, and $V$ belongs to the Stummel class of potentials. As a consequence we obtain the continuity of a general weak solution. These results extend the previous work of Aizenman and Simon for $\Delta u = Vu$.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 98 (1986), 415-425
- MSC: Primary 35B99; Secondary 35D10, 35J15
- DOI: https://doi.org/10.1090/S0002-9939-1986-0857933-4
- MathSciNet review: 857933