Zobrazeno 1 - 10
of 288
pro vyhledávání: '"Enrico Valdinoci"'
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 2, Pp 1-28 (2023)
We provide a fractional counterpart of the classical results by Schwarz and Malmheden on harmonic functions. From that we obtain a representation formula for $ s $-harmonic functions as a linear superposition of weighted classical harmonic functions
Externí odkaz:
https://doaj.org/article/ef4b30ff9a494fd28f372710228b78ad
Autor:
Serena Dipierro, Enrico Valdinoci
Publikováno v:
Bulletin of Mathematical Sciences, Vol 13, Iss 01 (2023)
We present here some classical and modern results about phase transitions and minimal surfaces, which are quite intertwined topics. We start from scratch, revisiting the theory of phase transitions as put forth by Lev Landau. Then, we relate the shor
Externí odkaz:
https://doaj.org/article/e4d05608d2b24b26aa4d73062efda7fa
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 11, Iss 1, Pp 44-67 (2020)
In this note, we showcase some recent results obtained in [DSV19] concerning the stickiness properties of nonlocal minimal graphs in the plane. To start with, the nonlocal minimal graphs in the planeenjoy an enhanced boundary regularity, since bounda
Externí odkaz:
https://doaj.org/article/858b86ac1cbd4d7f88b5a96cbcb373ce
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 11, Iss 1, Pp 68-93 (2020)
We present some long-range interaction models for phase coexistence which have recently appeared in the literature, recalling also their relation to classical interface and capillarity problems. In this note, the main focus will be on the Γ-converge
Externí odkaz:
https://doaj.org/article/92c29a4312624a49b179cdcc86afc25f
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 1, p 125 (2023)
Given a bounded open set $ \Omega\subseteq{\mathbb{R}}^n $, we consider the eigenvalue problem for a nonlinear mixed local/nonlocal operator with vanishing conditions in the complement of $ \Omega $. We prove that the second eigenvalue $ \lambda_2(\O
Externí odkaz:
https://doaj.org/article/6c078818b3ce4a2f8c8bd3e9f6830b75
Autor:
Antonio DeSimone, Enrico Valdinoci
Publikováno v:
Mathematics in Engineering, Vol 1, Iss 1, Pp i-ii (2018)
Externí odkaz:
https://doaj.org/article/00f6e64343e44b94b040699f76a79944
Publikováno v:
Le Matematiche, Vol 68, Iss 1, Pp 201-216 (2013)
This paper deals with the following class of nonlocal Schrödinger equations(-\Delta)^s u + u = |u|^{p-1}u in \mathbb{R}^N, for s\in (0,1).We prove existence and symmetry results for the solutions $u$ in the fractional Sobolev space H^s(\mathbb{R}^N)
Externí odkaz:
https://doaj.org/article/c4ddbf303f424fbbab59fa0a1749c700
Autor:
Marcelo Montenegro, Enrico Valdinoci
Publikováno v:
Electronic Journal of Differential Equations, Vol 2012, Iss 145,, Pp 1-6 (2012)
We give a general framework under which the minimizers of a variational problem inherit the symmetry of the ambient space. The main technique used is the moving plane (or sliding) method.
Externí odkaz:
https://doaj.org/article/709122f0a86a4c8d9ea451c251e70ab4
We investigate the problem of the Lévy flight foraging hypothesis in an ecological niche described by a bounded region of space, with either absorbing or reflecting boundary conditions. To this end, we consider a forager diffusing according to a f
Autor:
Serena Dipierro, Enrico Valdinoci
Publikováno v:
Discrete and Continuous Dynamical Systems. 43:1006-1025
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::eeddf4d33d301a46621ee38f17ef0682
https://doi.org/10.3934/dcds.2022103
https://doi.org/10.3934/dcds.2022103