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

Prelegent(ci)

Jacopo Schino

Afiliacja

MIM UW

Termin

16 maja 2024 12:30

Pokój

p. 5070

Seminarium

Seminarium Zakładu Równań Fizyki Matematycznej

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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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