Positive solutions to singular non-linear Schrödinger-type equations

• Date: 2009
• Main Authors: Liskevich, V., Skrypnik, I.I., Skrypnik, I.V.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2009
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/10956
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Positive solutions to singular non-linear Schrödinger-type equations / V. Liskevich, I.I. Skrypnik, I.V. Skrypnik // Український математичний вісник. — 2009. — Т. 6, № 1. — С. 55-96. — Бібліогр.: 20 назв. — англ.

We study the existence and nonexistence of positive (super) solutions to a singular quasilinear second-order elliptic equations with structural coefficients from non-linear Kato-type classes. Under certain general assumptions on the behaviour of the coefficient at infinity we construct an entire pos...