Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Giovanni Cupini"'
Autor:
Giovanni Cupini, Ermanno Lanconelli
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 14, Iss 2, Pp 129-138 (2024)
In this article we present some of the main aspects and the most recent results related to the following question: If the surface mean integral of every harmonic function on the boundary of an open set D is "almost'' equal to the value of these funct
Externí odkaz:
https://doaj.org/article/672233b9ab1741e9ab52eb4fb72388b8
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 3, Pp 1-28 (2023)
This article is dedicated to Giuseppe Mingione for his $ 50^{th} $ birthday, a leading expert in the regularity theory and in particular in the subject of this manuscript. In this paper we give conditions for the local boundedness of weak solutions t
Externí odkaz:
https://doaj.org/article/bd3c0f5bbe8e4000899684e77628a8d0
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 9, Iss 1, Pp 20-40 (2018)
We prove a local boundedness result for local minimizers of a class of non-convex functionals, under special structure assumptions on the energy density. The proof follows the lines of that in [CupLeoMas17], where a similar result is proved under sli
Externí odkaz:
https://doaj.org/article/7441d3cd71b94529861379dc785c7794
Autor:
Giovanni Cupini, Elvira Mascolo
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 6, Iss 1, Pp 15-38 (2015)
In this paper we consider quasilinear elliptic systems with p, q-growth. We discuss some aspects of the theory of regularity for systems and we state a local boundedness result for weak solutions, obtained in collaboration with P. Marcellini. Moreove
Externí odkaz:
https://doaj.org/article/cf9fa6b401c74c95aa85a1145d4d0c15
Publikováno v:
Advances in Calculus of Variations. 16:443-465
We establish the local Lipschitz continuity and the higher differentiability of vector-valued local minimizers of a class of energy integrals of the Calculus of Variations. The main novelty is that we deal with possibly degenerate energy densities wi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2b060fa372aeac1268a005dd370ede6a
https://doi.org/10.1515/acv-2020-0120
https://doi.org/10.1515/acv-2020-0120
Publikováno v:
Mathematische Nachrichten. 294:1839-1842
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2ba1ea622f7157e1707369c906f12ce3
https://doi.org/10.1002/mana.202100054
https://doi.org/10.1002/mana.202100054
Publikováno v:
Journal d'Analyse Mathématique. 142:587-603
We prove a quantitative stability result for the Gauss mean value formula. We also show by an example that the estimate proved here is sharp.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84e1c6518f9694dda1ac2f55c28f2a54
https://doi.org/10.1007/s11854-020-0144-1
https://doi.org/10.1007/s11854-020-0144-1
Publikováno v:
Calculus of Variations and Partial Differential Equations. 61
In this paper we are concerned with the regularity of solutions to a nonlinear elliptic system of $m$ equations in divergence form, satisfying $p$ growth from below and $q$ growth from above, with $p \leq q$; this case is known as $p, q$-growth condi
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ef726aaab8cc75153622b2bc133f903e
https://doi.org/10.1007/s00526-022-02204-9
https://doi.org/10.1007/s00526-022-02204-9
Publikováno v:
Advances in Nonlinear Analysis, Vol 9, Iss 1, Pp 1008-1025 (2019)
In this paper we prove local Hölder continuity of vectorial local minimizers of special classes of integral functionals with rank-one and polyconvex integrands. The energy densities satisfy suitable structure assumptions and may have neither radial
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::231f2449abdc49156300c83ce1c1761b
https://doi.org/10.1515/anona-2020-0039
https://doi.org/10.1515/anona-2020-0039
Autor:
Giovanni Cupini, Eugenio Vecchi
Publikováno v:
Communications on Pure & Applied Analysis. 18:2679-2691
The classical Faber-Krahn inequality states that, among all domains with given measure, the ball has the smallest first Dirichlet eigenvalue of the Laplacian. Another inequality related to the first eigenvalue of the Laplacian has been proved by Lieb
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8d17e893e7eb6132a7512f165d667389
https://doi.org/10.3934/cpaa.2019119
https://doi.org/10.3934/cpaa.2019119