Positive solutions to singular non-linear Schrödinger-type equations
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...
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| Date: | 2009 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут прикладної математики і механіки НАН України
2009
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/10956 |
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| 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | 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 positive solution in R^N which is bounded above and below by positive constants. An application is given to a non-existence problem in an exterior domain.
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| ISSN: | 1810-3200 |