#norelated 
 
 
 [[Eng Page]]
 
 Consder 
 
 &ref(prob.gif,left);,
 
 
 where &ref(lam.gif,center); is a bifurcation parameter, &ref(q1.gif,center); is a given exponent, and &ref(mx.gif,center); is positive somewhere in &ref(ome.gif,center); and indefinite, meaning that &ref(mx.gif,center); is a sign-changing function in &ref(ome.gif,center);.  It is remarkable in the case of indefinite weifghts that there are possibly two bifurcation points of &ref(lam.gif,center); from the line &ref(u0.gif,center);, whereas in the positive definite case of &ref(mx.gif,center);, we have a unique bifurcation point &ref(lam0.gif,center);. 
 The objective of our study is to consider the existence and 
 behavior of components consisting of positive solutions of the 
 problem that bifurcate from the trivial line.  Uniqueness and 
 stability of positive solutions on the components are also studied.  
 
 
 ''Keywords''
 
 Nonlinear ellitpic boudary value problem
 
 Nonlinear boundary condition
 
 Indefinite weight
 
 Variational method
 
 Super-subsolution 
 
 degree theory
 
 bifurcation
 
 A priori bound 
 
 Uniqueness and multiplicity of positive solutions
 
 Population dynamics
 
 Incoming flux on the boundary
 
 
 
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