Weak Harnack’s Inequality for non-negative solutions of elliptic equations with potential
HTML articles powered by AMS MathViewer
- by Ahmed Mohammed PDF
- Proc. Amer. Math. Soc. 129 (2001), 2617-2621 Request permission
Abstract:
We present an alternative and shorter proof to a weak Harnack inequality for non-negative solutions of divergence structure elliptic equations with potentials from the Kato class.References
- F. Chiarenza, E. Fabes, and N. Garofalo, Harnack’s inequality for Schrödinger operators and the continuity of solutions, Proc. Amer. Math. Soc. 98 (1986), no. 3, 415–425. MR 857933, DOI 10.1090/S0002-9939-1986-0857933-4
- Cristian E. Gutiérrez, Harnack’s inequality for degenerate Schrödinger operators, Trans. Amer. Math. Soc. 312 (1989), no. 1, 403–419. MR 948190, DOI 10.1090/S0002-9947-1989-0948190-6
- Michael Grüter and Kjell-Ove Widman, The Green function for uniformly elliptic equations, Manuscripta Math. 37 (1982), no. 3, 303–342. MR 657523, DOI 10.1007/BF01166225
- Kazuhiro Kurata, Continuity and Harnack’s inequality for solutions of elliptic partial differential equations of second order, Indiana Univ. Math. J. 43 (1994), no. 2, 411–440. MR 1291523, DOI 10.1512/iumj.1994.43.43017
Additional Information
- Ahmed Mohammed
- Affiliation: Department of Mathematics, Temple University, Philadelphia, Pennsylvania 19122
- ORCID: setImmediate$0.27459675662351213$1
- Email: ahmed@math.temple.edu
- Received by editor(s): August 15, 1999
- Received by editor(s) in revised form: October 15, 1999
- Published electronically: April 9, 2001
- Communicated by: David S. Tartakoff
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 2617-2621
- MSC (2000): Primary 35B05, 35B45, 35D99, 35J10, 35J15
- DOI: https://doi.org/10.1090/S0002-9939-01-06171-8
- MathSciNet review: 1838784