Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Agnese Di Castro"'
Publikováno v:
Discrete & Continuous Dynamical Systems - S. 10:647-659
We analyze a natural approach to the regularity of solutions of problems related to some anisotropic Laplacian operators, and a subsequent extension of the usual De Giorgi classes, by investigating the relation of the functions in such classes with t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e433e229f6b1b60f3e4a12dbc017831
https://doi.org/10.3934/dcdss.2017032
https://doi.org/10.3934/dcdss.2017032
Autor:
Agnese Di Castro, Lorenzo Giacomelli
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 143:174-192
We introduce a notion of solution to the 1-harmonic flow–i.e., the formal gradient flow of the total variation with respect to the L 2 -distance–from a domain of R m into a connected subset of the image of a smooth Jordan curve. For such notion,
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::52f6a46598ac16583d6ed3856005b5b6
https://doi.org/10.1016/j.na.2016.05.007
https://doi.org/10.1016/j.na.2016.05.007
Publikováno v:
Journal of Functional Analysis. 267:1807-1836
We state and prove a general Harnack inequality for minimizers of nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p-Laplacian.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff67f9e176f706b5bd487ccc080efcc3
https://doi.org/10.1016/j.jfa.2014.05.023
https://doi.org/10.1016/j.jfa.2014.05.023
Publikováno v:
Communications on Pure & Applied Analysis. 11:1217-1229
This paper analyzes the behavior of solutions for anisotropic problems of $(p_i)$-Laplacian type as the exponents go to infinity. We show that solutions converge uniformly to a function that solves, in the viscosity sense, a certain problem that we i
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https://explore.openaire.eu/search/publication?articleId=doi_________::e36a73cb8838f88c7c2c5de4d1e22e52
https://doi.org/10.3934/cpaa.2012.11.1217
https://doi.org/10.3934/cpaa.2012.11.1217
Autor:
Agnese Di Castro
Publikováno v:
Manuscripta Mathematica. 135:521-543
In this paper we prove existence and regularity of solutions for nonlinear anisotropic elliptic equations of the type $$-\sum_{i=1}^N\frac{\partial}{\partial x_i}\left[\left|\frac{\partial u}{\partial {x}_i}\right|^{p_i-2}\frac{\partial u}{\partial x
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::24b9fca227ea3a46a62bb7a1156ce187
https://doi.org/10.1007/s00229-011-0431-3
https://doi.org/10.1007/s00229-011-0431-3
Autor:
Agnese Di Castro, Eugenio Montefusco
Publikováno v:
Nonlinear Analysis: Theory, Methods & Applications. 70:4093-4105
We consider the Dirichlet problem for a class of anisotropic degenerate elliptic equations.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c254a17ebe0f671bbea919e6cde6e3ff
https://doi.org/10.1016/j.na.2008.06.001
https://doi.org/10.1016/j.na.2008.06.001
Autor:
Agnese Di Castro
Publikováno v:
Advanced Nonlinear Studies. 9:367-393
We study existence and regularity of the solutions for some anisotropic elliptic problems with homogeneous Dirichlet boundary conditions in bounded domains.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2273b1e8a24b0731a48eb736dc753999
https://doi.org/10.1515/ans-2009-0207
https://doi.org/10.1515/ans-2009-0207
We show a quantitative-type isoperimetric inequality for fractional perimeters where the deficit of the \(t\)-perimeter, up to multiplicative constants, controls from above that of the \(s\)-perimeter, with \(s\) smaller than \(t\). To do this we con
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c9292242479b1ceadc817ef0bdb43b0
http://hdl.handle.net/11568/759930
http://hdl.handle.net/11568/759930
We extend the De Giorgi-Nash-Moser theory to nonlocal, possibly degenerate integro-differential operators.
Comment: 26 pages. To appear in Ann. Inst. H. Poincare Anal. Non Lineaire. arXiv admin note: text overlap with arXiv:1405.7842
Comment: 26 pages. To appear in Ann. Inst. H. Poincare Anal. Non Lineaire. arXiv admin note: text overlap with arXiv:1405.7842
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2678701bdee1f29309d83add15e4236e
We prove L∞ bounds and estimates of the modulus of continuity of solutions to the Poisson problem for the normalized infinity and p-Laplacian, namely $$\begin{array}{ll} -\Delta_p^N u=f\quad{\rm for } \; n < p \leq\infty.\end{array}$$ We are able t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f43c84a816a972797e002cfd33114871
http://hdl.handle.net/20.500.11767/11603
http://hdl.handle.net/20.500.11767/11603