Advances in Singular and Degenerate PDEs
نویسندگان
چکیده
This review was written with a dual purpose; on the one hand, to collect all topics dealt during conference “Advances in Singular and Degenerate PDEs”. For this reason, first part of work, abstracts lectures workshop are shown. On other as well workshop, work is way celebrate career Professor Maria Agostina Vivaldi. Vivaldi’s long her hence highlighted work; moreover, some more recent results obtained by Vivaldi about problems involving p-Laplace-type operators fractal pre-fractal boundary domains here illustrated discussed. In conclusion, new outcomes perspectives outlined.
منابع مشابه
Congested Traffic Equilibria and Degenerate Anisotropic PDEs
Congested traffic problems on very dense networks lead, at the limit, to minimization problems posed on measures on curves as shown in [2]. Here, we go one step further by showing that these problems can be reformulated in terms of the minimization of an integral functional over a set of vector fields with prescribed divergence. We prove a Sobolev regularity result for their minimizers despite ...
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It is well-known under the name of ‘periodic homogenization’ that, under a centering condition of the drift, a periodic diffusion process on R converges, under diffusive rescaling, to a d-dimensional Brownian motion. Existing proofs of this result all rely on uniform ellipticity or hypoellipticity assumptions on the diffusion. In this paper, we considerably weaken these assumptions in order to ...
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ژورنال
عنوان ژورنال: Mathematics
سال: 2022
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math10244760