We introduce a new condition allowing to get a weak Harnack inequality for non-negative solutions to linear second order degenerate elliptic equations of $X$-elliptic type. Roughly speaking, our condition requires that the Euclidean balls of small radius are representable by means of $X$-controllable almost exponential maps.
A control condition for a weak Harnack inequality / Alessia E. Kogoj. - In: NONLINEAR ANALYSIS. - ISSN 0362-546X. - ELETTRONICO. - 75:(2012), pp. 4198-4204. [10.1016/j.na.2012.03.008]
A control condition for a weak Harnack inequality
KOGOJ, ALESSIA ELISABETTA
2012
Abstract
We introduce a new condition allowing to get a weak Harnack inequality for non-negative solutions to linear second order degenerate elliptic equations of $X$-elliptic type. Roughly speaking, our condition requires that the Euclidean balls of small radius are representable by means of $X$-controllable almost exponential maps.File in questo prodotto:
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