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

This article develops a duality principle applicable to a large class ofvariational problems. Firstly, we apply the results to a Ginzburg-Landau typemodel. In a second step, we develop another duality principle and relatedprimal dual variational formulation and such an approach includes optimalityconditions which guarantee zero duality gap between the primal and dualformulations. We emphasize in both cases the dual variational formulationsobtained have large regions of concavity about the critical points in question.

On duality principles for non-convex variational models applied to a Ginzburg-Landau type equation