Zobrazeno 1 - 10
of 68
pro vyhledávání: '"Rolando Magnanini"'
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:
Rolando Magnanini
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 8, Iss 1, Pp 121-141 (2017)
The distinguished names in the title have to do with different proofs of the celebrated Soap Bubble Theorem and of radial symmetry in certain overdetermined boundary value problems. We shall give an overeview of those results and indicate some of the
Externí odkaz:
https://doaj.org/article/641f2b4ea1a54ffbbdbda087f822cc31
Autor:
Rolando Magnanini, Diego Berti
Publikováno v:
Applicable Analysis. 101:3716-3732
This paper presents asymptotic formulas in the case of the following two problems for the {\it Pucci's extremal operators} $\mathcal{M}^\pm$. It is considered the solution $u^\varepsilon(x)$ of $-\varepsilon^2 \mathcal{M}^\pm\left(\nabla ^2 u^\vareps
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::586f278e70aab5b4375c4a39e2d44543
https://doi.org/10.1080/00036811.2020.1750602
https://doi.org/10.1080/00036811.2020.1750602
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
Autor:
Rolando Magnanini
We present a method to obtain explicit solutions of the complex eikonal equation in the plane. This equation arises in the approximation of Helmholtz equation by the WKBJ or EWT methods. We obtain the complex-valued solutions (called eikonals) as par
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::befbfe9991bf05b7f6c77ee8309dcd27
http://hdl.handle.net/2158/1256421
http://hdl.handle.net/2158/1256421
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
Autor:
Rolando Magnanini, Diego Berti
Publikováno v:
Journal de Mathématiques Pures et Appliquées. 126:249-272
We consider the solution u of u t − Δ p G u = 0 in a (not necessarily bounded) domain Ω, such that u = 0 in Ω at time t = 0 and u = 1 on the boundary of Ω at all times. Here, Δ p G is the game-theoretic or normalized p-laplacian. We derive new
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f392575ec06014d0a9bb0a6db64fac89
https://doi.org/10.1016/j.matpur.2018.06.020
https://doi.org/10.1016/j.matpur.2018.06.020
In a recent paper, the last three authors showed that a game-theoretic $p$-harmonic function $v$ is characterized by an asymptotic mean value property with respect to a kind of mean value $\nu_p^r[v](x)$ defined variationally on balls $B_r(x)$. In th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3b904f90c2e71886e902b65747ed4da7
http://arxiv.org/abs/2101.02662
http://arxiv.org/abs/2101.02662
We consider a two-phase heat conductor in $\mathbb R^N$ with $N \geq 2$ consisting of a core and a shell with different constant conductivities. We study the role played by radial symmetry for overdetermined problems of elliptic and parabolic type. F
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ed1132d91bc302e72ee196f43b87f57b
http://hdl.handle.net/2158/1169659
http://hdl.handle.net/2158/1169659
We consider Backus’s problem in geophysics. This consists in reconstructing a harmonic potential outside the Earth when the intensity of the related field is measured on the Earth’s surface. Thus, the boundary condition is (severely) nonlinear. T
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c47ddfc7319f5808b08be39acde36d8f