A mixed-dispersion equation in dimension 4: results and open problems

Speaker(s)

Jacopo Schino

Affiliation

MIM UW

Date

May 16, 2024, 12:30 p.m.

Room

room 5070

Seminar

Seminar of Mathematical Physics Equations Group

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I will present results concerning the existence of unbounded sequences of solutions, obtained via variational methods, to an elliptic mixed-dispersion equation in dimension 4, in the so-called positive-mass and zero-mass cases. Specific symmetries are used to recover compactness and, in the latter case, even to ensure the energy functional is continuously differentiable. I will also present an open problem about the zero-mass case.

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