Positive and Dead-Core Solutions of Two-Point Singular Boundary Value Problems with <it>&#981;</it>-Laplacian

• 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

<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>