Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>&#981;</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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Main Author: Stan&#283;k Svatoslav
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Advances in Difference Equations
Online Access:http://www.advancesindifferenceequations.com/content/2010/262854
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author Stan&#283;k Svatoslav
author_facet Stan&#283;k Svatoslav
author_sort Stan&#283;k 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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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>&#981;</it>-LaplacianStan&#283;k 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 Stan&#283;k Svatoslav
Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>&#981;</it>-Laplacian
Advances in Difference Equations
title Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>&#981;</it>-Laplacian
title_full Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>&#981;</it>-Laplacian
title_fullStr Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>&#981;</it>-Laplacian
title_full_unstemmed Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>&#981;</it>-Laplacian
title_short Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>&#981;</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