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

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
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