Application des inequations quasi-variationnelles a quelques problemes non lineaires de la physique des plasmas

This paper deals with some problems arising in plasma physics. The typical example is the following: where is the (neither local, nor monotone, nor continuous) operator: . Using a quasi-variational approach, we prove the existence of minimal and maximal solutions for a weak form of this problem, involving a multi-valued operator β. Various generalizations are treated.