Zobrazeno 1 - 10
of 14
pro vyhledávání: '"Giorgio Poggesi"'
Autor:
Rolando Magnanini, Giorgio Poggesi
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 1, Pp 1-21 (2023)
We prove interpolating estimates providing a bound for the oscillation of a function in terms of two $ L^p $ norms of its gradient. They are based on a pointwise bound of a function on cones in terms of the Riesz potential of its gradient. The estima
Externí odkaz:
https://doaj.org/article/09c41a6fd6614c1bb7780894b4ef8e48
Autor:
Giorgio Poggesi, Rolando Magnanini
Publikováno v:
Indiana University Mathematics Journal. 69:1181-1205
We consider Serrin's overdetermined problem for the torsional rigidity and Alexandrov's Soap Bubble Theorem. We present new integral identities, that show a strong analogy between the two problems and help to obtain better (in some cases optimal) qua
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9cc00f6d9a4ed4fc0be1a9dd6600f998
https://doi.org/10.1512/iumj.2020.69.7925
https://doi.org/10.1512/iumj.2020.69.7925
We study symmetry and quantitative approximate symmetry for an overdetermined problem involving the fractional torsion problem in a bounded open set Ω ⊂ R n \Omega \subset \mathbb R^n . More precisely, we prove that if the fractional torsion funct
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e10813fda1211370e4bc9fd6f981b2f7
http://arxiv.org/abs/2110.03286
http://arxiv.org/abs/2110.03286
Autor:
Giorgio Poggesi, Rolando Magnanini
Publikováno v:
Journal d'Analyse Mathématique. 139:179-205
Alexandrov’s Soap Bubble Theorem dates back to 1958 and states that a compact embedded hypersurface in ℝN with constant mean curvature must be a sphere. For its proof, A. D. Alexandrov invented his reflection principle. In 1977, R. Reilly gave an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0eda5e4dd2015227bf28855a78488f6a
https://doi.org/10.1007/s11854-019-0058-y
https://doi.org/10.1007/s11854-019-0058-y
Publikováno v:
Nonlinear Analysis. 222:112919
In this paper, we deal with an overdetermined problem of Serrin-type with respect to a two-phase elliptic operator in divergence form with piecewise constant coefficients. In particular, we consider the case where the two-phase overdetermined problem
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6c4fcda65512132c82e4d48faeb4e6ad
https://doi.org/10.1016/j.na.2022.112919
https://doi.org/10.1016/j.na.2022.112919
We prove radial symmetry for bounded nonnegative solutions of a weighted anisotropic problem. Given the anisotropic setting that we deal with, the term "radial" is understood in the Finsler framework. In the whole space, J. Serra obtained the symmetr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5d8b469987ee2d6c1bf4b37f2ca6c316
http://arxiv.org/abs/2105.02424
http://arxiv.org/abs/2105.02424
We consider a Frenkel–Kontorova system of harmonic oscillators in a two-dimensional Euclidean lattice and we obtain a quantitative estimate on the angular function of the equilibria. The proof relies on a PDE method related to a classical conjectur
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c93089cd70c17a4473334385fcfc83d3
http://arxiv.org/abs/2102.04630
http://arxiv.org/abs/2102.04630
Autor:
Rolando Magnanini, Giorgio Poggesi
Publikováno v:
Geometric Properties for Parabolic and Elliptic PDE's ISBN: 9783030733629
We extend an inequality for harmonic functions, obtained in Magnanini and Poggesi (Calc Var Partial Differ Equ 59(1):Paper No. 35, 2020) and Poggesi (The Soap Bubble Theorem and Serrin’s problem: quantitative symmetry, PhD thesis, Universita di Fir
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0e8e4f33643ef88472ae67ee8e255855
http://hdl.handle.net/2158/1211433
http://hdl.handle.net/2158/1211433
Autor:
Giorgio Poggesi, Rolando Magnanini
In a domain of the Euclidean space, we estimate from below the distance to the boundary of global maximum points of solutions of elliptic and parabolic equations with homogeneous Dirichlet boundary values. As reference cases, we first consider the to
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e8dfaa68adfc70482b77c142c71392ab
http://arxiv.org/abs/2005.13175
http://arxiv.org/abs/2005.13175
We present a quantitative estimate for the radially symmetric configuration concerning a Serrin-type overdetermined problem for the torsional rigidity in a bounded domain Ω ⊂ R N , when the equation is known on Ω ∖ ω ¯ only, for some open sub
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b9a163ec1e04bcc78c41db8d16adbdcb
http://arxiv.org/abs/2005.04859
http://arxiv.org/abs/2005.04859