[Authors]
 A. I. Nazarov, N. N. Ural'tseva

[Title]
 Qualitative properties of solutions to elliptic and parabolic equations
 with unbounded lower-order coefficients

[AMS Subj-class]
 35B50 Maximum principles
 35J15 General theory of second-order, elliptic equations
 35K10 General theory of second-order, parabolic equations

[Keywords]
 strong maximum principle, Harnack's inequality, Liouville's theorem,
 Hopf's lemma.

[Abstract]
 We discuss the problem how "bad" may be lower-order coefficients in elliptic
 and parabolic second-order equations to ensure the properties listed in
 keywords to hold true. The answers are given in terms of Lebesgue spaces.

[Comments]
 English, 6 pp.

[Contact e-mail]
 al.il.nazarov@gmail.com