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November  2010, 9(6): 1675-1696. doi: 10.3934/cpaa.2010.9.1675

Multiplicity of positive solutions for a semilinear elliptic equation in $R_+^N$ with nonlinear boundary condition

Tsung-Fang Wu 1,

1. 

Department of Applied Mathematics, National University of Kaohsiung, Kaohsiung 811

Received  August 2009 Revised  February 2010 Published  August 2010

In this paper, we study a class of semilinear elliptic equations in $R_+^N$ with nonlinear boundary condition and sign-changing weight function. By means of the Lusternik-Schnirelman category, multiple positive solutions are obtained.
Keywords: sign-changing weight, nonlinear boundary condition., Multiple positive solutions.
Mathematics Subject Classification: Primary: 35J50, 35J55; Secondary: 35J6.
Citation: Tsung-Fang Wu. Multiplicity of positive solutions for a semilinear elliptic equation in $R_+^N$ with nonlinear boundary condition. Communications on Pure & Applied Analysis, 2010, 9 (6) : 1675-1696. doi: 10.3934/cpaa.2010.9.1675
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