Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>ϕ</it>-Laplacian
<p/> <p>The paper discusses the existence of positive solutions, dead-core solutions, and pseudo-dead-core solutions of the singular problem <inline-formula><graphic file="1687-1847-2010-262854-i1.gif"/></inline-formula>, <inline-formula><graphic file...
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Format: | Article |
Language: | English |
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SpringerOpen
2010-01-01
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Series: | Advances in Difference Equations |
Online Access: | http://www.advancesindifferenceequations.com/content/2010/262854 |
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author | Staněk Svatoslav |
author_facet | Staněk Svatoslav |
author_sort | Staněk Svatoslav |
collection | DOAJ |
description | <p/> <p>The paper discusses the existence of positive solutions, dead-core solutions, and pseudo-dead-core solutions of the singular problem <inline-formula><graphic file="1687-1847-2010-262854-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i2.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i3.gif"/></inline-formula>. Here <inline-formula><graphic file="1687-1847-2010-262854-i4.gif"/></inline-formula> is a positive parameter, <inline-formula><graphic file="1687-1847-2010-262854-i5.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i6.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i7.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i8.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i9.gif"/></inline-formula> is singular at <inline-formula><graphic file="1687-1847-2010-262854-i10.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2010-262854-i11.gif"/></inline-formula> may be singular at <inline-formula><graphic file="1687-1847-2010-262854-i12.gif"/></inline-formula>.</p> |
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id | doaj.art-897588a86ae847fa9ff0af7330cbc7bc |
institution | Directory Open Access Journal |
issn | 1687-1839 1687-1847 |
language | English |
last_indexed | 2024-04-13T03:18:32Z |
publishDate | 2010-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Advances in Difference Equations |
spelling | doaj.art-897588a86ae847fa9ff0af7330cbc7bc2022-12-22T03:04:50ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-0120101262854Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>ϕ</it>-LaplacianStaněk Svatoslav<p/> <p>The paper discusses the existence of positive solutions, dead-core solutions, and pseudo-dead-core solutions of the singular problem <inline-formula><graphic file="1687-1847-2010-262854-i1.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i2.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i3.gif"/></inline-formula>. Here <inline-formula><graphic file="1687-1847-2010-262854-i4.gif"/></inline-formula> is a positive parameter, <inline-formula><graphic file="1687-1847-2010-262854-i5.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i6.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i7.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i8.gif"/></inline-formula>, <inline-formula><graphic file="1687-1847-2010-262854-i9.gif"/></inline-formula> is singular at <inline-formula><graphic file="1687-1847-2010-262854-i10.gif"/></inline-formula> and <inline-formula><graphic file="1687-1847-2010-262854-i11.gif"/></inline-formula> may be singular at <inline-formula><graphic file="1687-1847-2010-262854-i12.gif"/></inline-formula>.</p>http://www.advancesindifferenceequations.com/content/2010/262854 |
spellingShingle | Staněk Svatoslav Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>ϕ</it>-Laplacian Advances in Difference Equations |
title | Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>ϕ</it>-Laplacian |
title_full | Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>ϕ</it>-Laplacian |
title_fullStr | Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>ϕ</it>-Laplacian |
title_full_unstemmed | Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>ϕ</it>-Laplacian |
title_short | Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>ϕ</it>-Laplacian |
title_sort | positive and dead core solutions of two point singular boundary value problems with it 981 it laplacian |
url | http://www.advancesindifferenceequations.com/content/2010/262854 |
work_keys_str_mv | AT stan283ksvatoslav positiveanddeadcoresolutionsoftwopointsingularboundaryvalueproblemswithit981itlaplacian |