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Solutions for a Class of p-Laplacian Elliptic Boundary Value Problem(PDF)

《南京师大学报（自然科学版）》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2012年03期
Page:
31-36
Research Field:
数学
Publishing date:

Info

Title:
Solutions for a Class of p-Laplacian Elliptic Boundary Value Problem
Author(s):
Chen Li; Yuan Junli
School of Science,Nantong University,Nantong 226007,China
Keywords:
p-Laplacian equations; boundary blow-up; existence
PACS:
O175.26
DOI:
-
Abstract:
In this paper，we study the existence of solutions for a class of p-Laplacian elliptic homogenous and singular boundary value problem － Δpu = a( x) h( u) － b( x) f( u) ，where Δpu = div( |u | p － 2u) ，p ＞ 1，h( u) /up － 1 is nonincreasing in ( 0，+ ∞) ，f( u) /up － 1 is nondecreasing in ( 0，+ ∞) ．

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Last Update: 2013-03-11