Multiplicity and bifurcation of positive solutions for nonhomogeneous semilinear elliptic problems (Q996239)

The authors consider the existence, the multiplicity and the turning-point bifurcation of positive solutions for the nonhomogeneous semilinear elliptic problems \[ -\Delta u(x)+ u(x)= \lambda(f(x,u)+ h(x))\quad\text{in}\;\mathbb R^N, \] \[ u\in H^1(\mathbb R^N),\;u> 0\quad\text{in}\;\mathbb R^N, \] where \(\lambda> 0\) and \(N\geq 3\).