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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Бібліографічні деталі
Дата:2009
Автори: Liskevich, V., Skrypnik, I.I., Skrypnik, I.V.
Формат: Стаття
Мова:English
Опубліковано: Інститут прикладної математики і механіки НАН України 2009
Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/10956
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Цитувати: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
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spelling irk-123456789-109562010-08-11T12:02:22Z Positive solutions to singular non-linear Schrödinger-type equations Liskevich, V. Skrypnik, I.I. Skrypnik, I.V. 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. 2009 Article 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. 1810-3200 http://dspace.nbuv.gov.ua/handle/123456789/10956 en Інститут прикладної математики і механіки НАН України
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
collection DSpace DC
language English
description 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.
format Article
author Liskevich, V.
Skrypnik, I.I.
Skrypnik, I.V.
spellingShingle Liskevich, V.
Skrypnik, I.I.
Skrypnik, I.V.
Positive solutions to singular non-linear Schrödinger-type equations
author_facet Liskevich, V.
Skrypnik, I.I.
Skrypnik, I.V.
author_sort Liskevich, V.
title Positive solutions to singular non-linear Schrödinger-type equations
title_short Positive solutions to singular non-linear Schrödinger-type equations
title_full Positive solutions to singular non-linear Schrödinger-type equations
title_fullStr Positive solutions to singular non-linear Schrödinger-type equations
title_full_unstemmed Positive solutions to singular non-linear Schrödinger-type equations
title_sort positive solutions to singular non-linear schrödinger-type equations
publisher Інститут прикладної математики і механіки НАН України
publishDate 2009
url http://dspace.nbuv.gov.ua/handle/123456789/10956
citation_txt 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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