Existence and uniqueness results for nonlinear boundary value problems (Q1335206)

The paper gives an approach to the study of nonlinear boundary value problems using the contraction principle, Schauder fixed point theorem and Minty-Browder theorem. The first part deals with semilinear elliptic problems and the second part is devoted to boundary value problems for systems of ordinary differential equations \(u''+ Ku'+ f(x,u,u')= 0\), \(0< x< T\), \(u= 0\) on \(\{0,T\}\), where \(f\) is a continuous function and satisfies Lipschitz condition or \(f\) is absolutely continuous and is subject to a growth condition.