Existence and Properties of the Solutions via Fibering Method of a Class of Variational Equations with Non-Coercive Main Part with Some Applications

Many physical problems, such as in fluidodynamics or aerospace applications, are governed by systems of differential equations with nonlinearity of nonlocal type, too. Obviously, the main question is the existence of the solutions of such problems but it is also interesting to analyze the properties of these solutions, when it is possible. In order to find the existence of the solutions and the related properties, this paper proposes to adopt a theorem previously proved by the same author. Following a variational approach via fibering method in the paper a class of variational equations with non-coercive main part has been used to solve differential equations of some interesting applications.