The Harnack inequality

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Abstract

The ideas of Section 6.2 have far-reaching extensions to questions of local boundedness of solutions of the inequality (6.1.1) and to both weak and strong Harnack-type theorems.1 These results have already seen application in Section 2.5, but are crucial as well for regularity and existence theory for quasilinear elliptic equations.

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APA

Pucci, P., & Serrin, J. (2007). The Harnack inequality. In Progress in Nonlinear Differential Equations and Their Application (Vol. 73, pp. 153–180). Springer US. https://doi.org/10.1007/978-3-7643-8145-5_7

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