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Positive Solutions of Elliptic and Parabolic Problems With Nonlocal Lower Order Terms(PDF)

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

Issue:
2008年02期
Page:
8-12
Research Field:
数学
Publishing date:

Info

Title:
Positive Solutions of Elliptic and Parabolic Problems With Nonlocal Lower Order Terms
Author(s):
Shang Xudong Zhang Jihui
School of Mathematics and Computer Science, Nanjing Normal University, Nanjing 210097, China
Keywords:
non loca l prob lem boundary v alue prob lem pos itive so lution Galerk in me thod
PACS:
O175.26
DOI:
-
Abstract:
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References:

[ 1] Corr a F J S A. On positiv e so lutions o f non loca l and nonvar ia tiona l e lliptic problem s[ J]. Non linear Ana,l 2004, 59( 7):1 147-1 155.
[ 2] M a T F. Rem arks on an elliptic equation of K irchho ff type[ J]. Non linear Ana,l 2005, 63( 5) : e( 1 967)- e( 1 977).
[ 3] Corr a F J S A, M enez S D B, Ferre ira J. On a c lass of prob lem s invo lv ing a non loca l ope rato r[ J]. App liedM ath Com,2004, 147( 2): 475-489.
[ 4] ChipotM. Som e rem arks on nonloca l e lliptic and parabo lic problem s[ J] . NonlinearAna,l 1997, 30( 4): 4 619-4 627.
[ 5] Sta zy R. Nonloca l e lliptic equa tions[ J]. Non linear Ana,l 2001, 47( 5) : 3 579-3 584.
[ 6] Corr a F J S A, Dan ielc deM o ra is F ilho. On a class o f non lo ca l elliptic prob lem s v ia Galerkin m ethod[ J]. JM ath Ana lAppl,2005, 310( 1): 177-187.
[ 7] Chang N H, Ch ipo tM. On som em odel d iffusion prob lem s w ith a nonlocal low er orde r te rm s[ J]. Ch in AnnM ath, 2003, 24B( 2): 147-166.
[ 8] Corr a F J S A, M enez S D B. Ex istence of so lu tion to nonloca l and singular ellip tic prob lem s v iaG alerk in m ethod[ J]. E lectron J D ifferenta l Equation, 2004, 19: 1-10.
[ 9] Abde rrahm ane, H achim ,iM ouldy Rch id S id iAmm .i Therm istor problem: A non loca l pa rabo lic problem [ J]. E lec J Differental Equations Conference, 2004, 11: 117-128.
[ 10] Delm ling K. Nonlinea r Functiona lAnalysis[M ]. Berlin: Spr inger-V erlag, 1985

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Last Update: 2013-05-05