Nonlinear Functional Analysis

apply approximations assume assumption bifurcation point bounded called chapter choose clear closed compact complete cone connected consequence consider constant contains continuous convergent convex corresponding defined Definition differentiable eigenvalue equations equivalent Evidently example Exercise exists extension fact Finally finite fixed point function Furthermore given gives Hence Hilbert homeomorphism implies indicate integral interesting introduce Let X linear locally maps maximal means measurable mentioned method metric monotone neighbourhood nonlinear norm Note notice obtain operators particular positive problem projection Proof properties Proposition prove real Banach space remarks remember respect result satisfies simple solution subset sufficiently Suppose Theorem theory topological trivial uniformly unique usually write yields zero