On the Harnack inequality for degenerate and singular elliptic equations with unbounded lower order terms via sliding paraboloids.

Autor:	Le, Nam Q.
Předmět:	MATHEMATICAL inequalities ELLIPTIC equations PARABOLOID MONGE-Ampere equations NONLINEAR equations
Zdroj:	Communications in Contemporary Mathematics; Feb2018, Vol. 20 Issue 1, p-1, 38p
Abstrakt:	We use the method of sliding paraboloids to establish a Harnack inequality for linear, degenerate and singular elliptic equation with unbounded lower order terms. The equations we consider include uniformly elliptic equations and linearized Monge-Ampère equations. Our argument allows us to prove the doubling estimate for functions which, at points of large gradient, are solutions of (degenerate and singular) elliptic equations with unbounded drift. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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