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�������պ����ѧѧ�� 2001, Vol. 27 Issue (2) :217-220    DOI:
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Existence and Multiplicity of Positive Entire Solutions fora Class of Quasilinear Elliptic Equation
YANG Zuo-dong, LU Qi-shao*
Beijing University of Aeronautics and Astronautics, School of Science

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ժҪ �� Schauder-Tychonoff �����㶨��Ϊ����, �Է����������µ�������, �� R n��������һ�������������Բ�ͷ������н������Ĵ����ԺͶ����. �����������, �����˰�������Բ�ͷ������н������Ĵ����ԺͶ����,���İѰ����Է��̵Ľ���ƹ㵽�����Է���,�Ӷ���չ�˰����Է��̵Ľ��.
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Abstract�� With the Schauder-Tychonoff fixed point theorems as the principal tool, the theorems of existence and multiplicity of bounded positive entire solutions for a class quasilinear elliptic equations are established.In many articles, the theorems of existence and multiplicity of bounded positive entire solutions for a class semilinear elliptic equations are established.The results of the semilinear equations are extended to the quasilinear ones and the results of semilinear equations are developed.
Keywords�� existence   fixed-points   quasilinear   entirety     
Received 1999-10-20;
Fund:

������Ȼ��ѧ����������Ŀ(19872010); ��������ʿѧ�Ƶ����������Ŀ(98000619)

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YANG Zuo-dong, LU Qi-shao.Existence and Multiplicity of Positive Entire Solutions fora Class of Quasilinear Elliptic Equation[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2001,V27(2): 217-220
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