English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In this article we develop a new primal dual variational formulation suitablefor a large class of non-convex problems in the calculus of variations. Theresults are obtained through basic tools of convex analysis, duality theory,the Legendre transform concept and the respective relations between the primaland dual variables. The novelty here is that the dual formulation isestablished also for the primal variables, however with a large domain regionof concavity about a critical point. Finally, we formally prove there is noduality gap between the primal and dual formulations in a local extremalcontext.

A primal dual variational formulation suitable for a large class of non-convex problems in optimization