Harnack’s inequality for degenerate Schrödinger operators. (English) Zbl 0685.35020

Gutierrez, Cristian E.

Trans. Am. Math. Soc. 312, No. 1, 403-419 (1989).

Author’s abstract: We prove a Harnack inequality for nonnegative weak solutions of certain Schrödinger equations of the form \(Lu-Vu=0\) where L is a second order degenerate elliptic operator in divergence form and V is a potential in certain class.

Reviewer: R.Weikard

MSC:

35B45	A priori estimates in context of PDEs
35J70	Degenerate elliptic equations
35J10	Schrödinger operator, Schrödinger equation
42B99	Harmonic analysis in several variables
46E35	Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems

Keywords:

Harnack’s inequality