|Table of Contents|

Energy Estimate of Positive Singular Solutions for a Class Quasilinear Elliptic Equations(PDF)

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

Issue:
2006年01期
Page:
21-24
Research Field:
数学
Publishing date:

Info

Title:
Energy Estimate of Positive Singular Solutions for a Class Quasilinear Elliptic Equations
Author(s):
Zhou JieYang Zuodong
School of Mathematics and Computer Sciences,Nanjing Normal University,Nanjing 210097,China
Keywords:
existence po sitive singular so lution quas ilinear e lliptic equa tion energy estimate
PACS:
O175.25
DOI:
-
Abstract:

References:

[ 1] L in S S. Positive singular solution for sem ilinear e lliptic equations w ith supercr itica l g row th[ J]. J D iff Eqns, 1994, 114( 1): 57- 76.
[ 2] Guedda M, Veron L. Lo ca l and g loba l prope rties o f so lutions of quasilinear e lliptic equa tions [ J]. J Diff Eqns, 1988, 76( 1): 159- 189.
[ 3] Q i Jiangang, ZhuangW an. Ex istence of singu la r positive solutions of sem ilinear elliptic equations[ J]. ActaM a th App licate S in ica, 1998, 14( 1): 109- 112.
[ 4] N iW M, Serrin J. Nonex istence theo rem s fo r singu la r solutions o f quas ilinear partia l d iffe rentia l equations[ J]. Comm Pure ApplM ath, 1986, 39: 379-399.
[ 5] Ga lloue t T, M ignot F, Pue l J P. Que lques resu ltas su r le problem e ( u =λ eu [ J]. C R Acad Sc i Paris Ser IM ath, 1988, 307: 282- 292.
[ 6] 杨作东. 一类拟线性椭圆型方程正奇异解的存在性[ J] . 数学物理学报, 2005, 25A ( 4): 445- 450.
[ 7] Yang Zuodong. Ex istence o f positive bounded entire so lutions o f quasilinear ellip tic equa tions[ J]. App liedM ath and Com pu tation, 2004, 156( 3): 743-754.
[ 8] Y ang Zuodong, Guo Zongm ing. Ex istence of pos itive rad ia l so lu tions and entire so lutions for quasilinear singu la r boundary value prob lem s[ J]. Ann of D iff Eqns, 1996, 12( 2): 243- 251.
[ 9] Guo Zongm ing. Som e ex istence and m ultip lic ity resu lts for a class of quasilinear elliptic equations[ J]. Non linear Anal, 1992, 18( 10): 957-971.
[ 10] Guo Zongm ing, W ebb J R L. Un iqueness of positive so lutions for quasilinear e lliptic equations when a param eter is la rge [ J]. Proc Roy Soc Ed inburgh, 1994, 124A( 1): 189- 198.
[ 11] Garcia H u idobro M, M anasev ich, Y arur C S. On positive singu lar so lutions for a class of nonhomogeneous p La lacian Like equa tions[ J]. J D iff Eqns, 1998, 145( 1) : 23- 51.

Memo

Memo:
-
Last Update: 2013-05-05