Zobrazeno 1 - 10
of 72
pro vyhledávání: '"Alberto G. Setti"'
Publikováno v:
Calculus of Variations and Partial Differential Equations. 61
We study solutions of the generalized porous medium equation on infinite graphs. For nonnegative or nonpositive integrable data, we prove the existence and uniqueness of mild solutions on any graph. For changing sign integrable data, we show existenc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd44df7f32f671da14b60fcb6fa1084f
https://doi.org/10.1007/s00526-022-02249-w
https://doi.org/10.1007/s00526-022-02249-w
We study decay and compact support properties of positive and bounded solutions of $\Delta_{p} u \geq \Lambda(u)$ on the exterior of a compact set of a complete manifold with rotationally symmetry. In the same setting, we also give a new characteriza
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::32b9c50dcef9a29d9e416e66d641a9bc
http://hdl.handle.net/11383/2102144
http://hdl.handle.net/11383/2102144
In this paper we show the existence of weak solutions $w : M \rightarrow \mathbb{R}$ of the inverse mean curvature flow starting from a relatively compact set (possibly, a point) on a large class of manifolds satisfying Ricci lower bounds. Under natu
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5204095d2a77f53a93f2374c719260a6
Publikováno v:
Journal of Mathematical Analysis and Applications. 431:1000-1007
We prove mean curvature estimates and a Jorge-Koutroufiotis type theorem for submanifolds confined into either a horocylinder of N X L or a horoball of N, where N is a Cartan-Hadamard manifold with pinched curvature. Thus, these submanifolds behave i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::647321e48c4c702db5cf88dab4ed5906
https://doi.org/10.1016/j.jmaa.2015.06.010
https://doi.org/10.1016/j.jmaa.2015.06.010
The paper aims at proving global height estimates for Killing graphs defined over a complete manifold with nonempty boundary. To this end, we first point out how the geometric analysis on a Killing graph is naturally related to a weighted manifold st
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f59bc013435eaa453f0d5a76d5bc60cf
http://hdl.handle.net/11583/2691135
http://hdl.handle.net/11583/2691135
Autor:
Alberto G. Setti, Davide Bianchi
Publikováno v:
Calculus of Variations and Partial Differential Equations. 57
We construct exhaustion and cut-off functions with controlled gradient and Laplacian on manifolds with Ricci curvature bounded from below by a (possibly unbounded) nonpositive function of the distance from a fixed reference point, without any assumpt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c576283c7fd342334e362e57536bbc6d
https://doi.org/10.1007/s00526-017-1267-9
https://doi.org/10.1007/s00526-017-1267-9
Publikováno v:
Expositiones Mathematicae. 32:365-383
The purpose of this paper is to give a self-contained proof that a complete manifold with more than one end never supports an L-q,L-p-Sobolev inequality (2
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https://explore.openaire.eu/search/publication?articleId=doi_________::51899383eceb6372de6ba51b185b652b
https://doi.org/10.1016/j.exmath.2013.12.006
https://doi.org/10.1016/j.exmath.2013.12.006
We shed a new light on the L 1 -Liouville property for positive, superharmonic functions by providing many evidences that its validity relies on geometric conditions localized on large enough portions of the space. We also present examples in any dim
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12d377a6242b0a2b01d7e4b19a265f57
http://hdl.handle.net/10281/270910
http://hdl.handle.net/10281/270910
Publikováno v:
Milan Journal of Mathematics. 76:229-256
We describe some aspects of potential theory on Riemannian manifolds, concentrating on Liouville-type theorems and their relationships with the parabolicity and stochastic completeness of the underlying manifold. Some generalizations of these concept
Externí odkaz:
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https://doi.org/10.1007/s00032-008-0084-1
https://doi.org/10.1007/s00032-008-0084-1