Normalized solutions to elliptic problems - new minimization technique.

Speaker(s)

Bartosz Bieganowski

Language of the talk

English

Date

Nov. 21, 2024, 12:30 p.m.

Room

room 5070

Seminar

Seminar of Mathematical Physics Equations Group

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We propose a simple minimization technique to demonstrate the existence of least-energy solutions for certain nonlinear elliptic equations with a prescribed L2-norm. Our approach relies on the direct minimization of a variational functional, restricted to the intersection of the linear combination of Nehari and Pohozaev constraints with the closed L2-ball. This method allows us to address most of the known physical examples of nonlinearities discussed in the literature.

In the talk, we will present the minimization method and provide a detailed explanation of its main steps.

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