Bifurcation in a Reaction–Diffusion–Advection Equation with Nonlinear Boundary Conditions

In this paper, we study the existence and multiplicity of positive solutions of a reaction–diffusion–advection equation with nonlinear boundary conditions. The bifurcation phenomenon around the steady states is analyzed by Lyapunov–Schmidt reduction method based on an orthogonal decomposition of [Formula: see text]. Finally, the conclusion about bifurcation phenomenon is applied to two specific examples.