Um princípio variacional para problemas de equações diferenciais parciais e análise

Abstract

This work presents a comprehensive variational principle that allows the application of critical point theory within proper convex and closed subsets of a Banach space to identify critical points for the entire space. This principle has various applications in both local and nonlocal Partial Differential Equations (PDEs) and generalizing several results in nonlinear analysis, including fixed point theory and the principle of symmetric criticality.