An Existence Theorem of Solutions of Semilinear Equations in Reflexive Banach Spaces and Its Applications
Chun‐Lei Tang · Bulletin de la Classe des sciences · 1993
In this paper, we first obtain an existence theorem of solutions of semilinear equations in reflexive Banach spaces with the dual least action principle and the perturbation method, then apply it to Hamiltonian systems and second order systems. Key works : subdifferential, generalized gradient, Fenchel transform, minimum, weakly lower semicontinuous.