Titlebook: Extended Abstracts 2021/2022; Methusalem Lectures Duván Cardona,Joel Restrepo,Michael Ruzhansky Conference proceedings 2024 The Editor(s) (

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Extended Abstracts 2021/2022978-3-031-48579-4Series ISSN 2297-0215 Series E-ISSN 2297-024X

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Platelet

Laplace-Beltrami Equation on Lipschitz Hypersurfaces in the Generic Bessel Potential Spacesined and singularities of solutions at nodes to the mentioned BVPs are indicated. In contrast to the results on the same BVPs in the classical Bessel potential spaces ., the Fredholm property in the GBPS . with weight is independent of the smoothness parameter . and Fredholm conditions as well as si

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Conference proceedings 2024l connected branches arising in this regard are shown..2.       Geometric analysis. The volume presents studies of modern techniques for elliptic and subelliptic PDEs that in recent times have been used to establish new results in differential geometry and differential topology. These topics involve

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https://doi.org/10.1007/978-3-319-41015-9 we apply the variational formulation and the calculus of Günter’s tangential differential operators on a hypersurface and layers. This approach allow global representation of basic differential operators and of corresponding BVPs in terms of the standard cartesian coordinates of the ambient Euclidean space ..

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Endpoint Sobolev Inequalities for Vector Fields and Cancelling Operatorsberg), the deformation operator (Korn–Sobolev inequality by M.J. Strauss) and the Hodge complex (Bourgain and Brezis). Their proof is based on the fact that . lies in the kernel of a cocancelling differential operator.