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Organizers

dr hab. Iwona Chlebicka, prof. UW

Home page

https://www.mimuw.edu.pl/~ichlebicka/nonstandard-seminar.html

List of talks

Nov. 2, 2020, 3 p.m.
Petteri Harjulehto (University of Turku)
Unbounded supersolutions with generalized Orlicz growth
We discuss about the weak Harnack inequality for unbounded supersolutions, when the equation has Orlicz, variable exponent, and generalized Orlicz growths. The recent results are based on my joint work with Allami Benyaiche, Peter Hästö, …
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Nov. 2, 2020, 2 p.m.
Mathias Schäffner (Technische Universität Dortmund)
Regularity for non-uniformly elliptic equations
I discuss local regularity properties of solutions of certain linear and nonlinear non-uniformly elliptic equations. We start with weak solutions of the linear equation ∇ · a(x)∇u(x) = 0. Assuming certain integrability conditions on the …
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Oct. 26, 2020, 3 p.m.
Anna Kh. Balci (University of Bielefeld)
Regularity VS Lavrentiev gap: borderline case of double-phase potential model and related Musielak-Orlicz function classes
We present new density results and examples on Lavrentiev gap for the borderline case of double-phase potential model and more general related classes. This talk is based on the join work with Mikhail Surnachev (Keldysh …
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Oct. 26, 2020, 2 p.m.
Sun-Sig Byun (Seoul National University)
Gradient estimates of very weak solutions to nonlinear equations with nonstandard growth
We discuss a question of a sharp regularity theory of very weak solutions to nonhomogeneous problems with nonstandard growth.
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Oct. 19, 2020, 3 p.m.
Jihoon Ok (Sogang University)
Maximal regularity for local minimizers of non-autonomous functionals
Establishment of regularity theory for partial differential equations and variational problems with (p, q)-growth condition has been an open issue since the 1980s. In this talk we introduce recent results of C^{1,α} -regularity for some …
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Oct. 19, 2020, 2 p.m.
Peter Hästö (University of Turku)
Orlicz spaces and generalized Orlicz spaces
Generalized Orlicz spaces include as special cases a wide range of function spaces, such as Lebesgue space, Orlicz spaces, variable exponent spaces, double phase spaces and logarithmic perturbations of the aforementioned. Working in generalized Orlicz …
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Oct. 12, 2020, 3 p.m.
Lorenzo Brasco (University of Ferrara)
Regularity issues for orthotropic functionals
We present a class of integral convex functionals from the Calculus of Variations, exhibiting a severe degeneracy, in despite of their very simple structure. We discuss gradient regularity for local minimizes, by giving some boundedness …
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Oct. 12, 2020, 2 p.m.
Sebastian Schwarzacher (Charles University)
A variational approach to fluid-structure interactions
We introduce a two time-scale scheme which allows to extend the method of min- imizing movements to hyperbolic problems. This method is used to show the existence of weak solutions to a fluid-structure interaction problem …
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Oct. 5, 2020, 3 p.m.
Cristiana De Filippis (University of Turin)
Regularity for non-homogeneous systems
My starting point is the analysis of the behavior of manifold-constrained minima to certain non-homogeneous functionals: under sharp assumptions, we prove that they are regular everywhere, except on a negligible, "singular" set of points. The …
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Oct. 5, 2020, 2 p.m.
Lars Diening (University of Bielefeld)
Elliptic equations with degenerate weights
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