BIRS Workshop Lecture Videos

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BIRS Workshop Lecture Videos

Paths to uniqueness of critical points and applications Tavares, Hugo


In this talk we address the question whether a certain special subset of critical points of a Fr\'{e}chet differentiable functional is necessarily a singleton, and we prove an abstract result that gathers many interesting problems in its framework. We will provide several applications and prove uniqueness of positive solutions of some elliptic problems, covering both old and new results. Essentially, we build paths to uncover the hidden convexity of the associate functionals. This is based on a joint work with D. Bonheure, J. Foldes, E. Moreira dos Santos and A. Salda\~na

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