Zobrazeno 1 - 10
of 125
pro vyhledávání: '"Andrea Malchiodi"'
Autor:
Andrea Malchiodi
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 120 (2007)
We consider the problem of varying conformally the metric of a four dimensional manifold in order to obtain constant Q-curvature. The problem is variational, and solutions are in general found as critical points of saddle type. We show how the proble
Externí odkaz:
https://doaj.org/article/0d5a0fd73693452fb85d15d6e425317e
Autor:
ANDREA MALCHIODI
Publikováno v:
Milan Journal of Mathematics. 91:1-29
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::a925491c126477f51d324000efee9aa3
https://doi.org/10.1007/s00032-022-00374-x
https://doi.org/10.1007/s00032-022-00374-x
Autor:
Antonio Ambrosetti, Andrea Malchiodi
Many problems in science and engineering are described by nonlinear differential equations, which can be notoriously difficult to solve. Through the interplay of topological and variational ideas, methods of nonlinear analysis are able to tackle such
We study strictly positive solutions to the critical Laplace equation $$\begin{aligned} - \Delta u = n(n-2) u^{\frac{n+2}{n-2}}, \end{aligned}$$ - Δ u = n ( n - 2 ) u n + 2 n - 2 , decaying at most like $$d(o, x)^{-(n-2)/2}$$ d ( o , x ) - ( n - 2 )
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2bab583bc9c3007df7096e0f7f59a748
https://hdl.handle.net/11384/112586
https://hdl.handle.net/11384/112586
Publikováno v:
Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 38:1407-1428
We study the localization of sets with constant nonlocal mean curvature and prescribed small volume in a bounded open set with smooth boundary, proving that they are {\em sufficiently close} to critical points of a suitable non-local potential. We th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ab8d7d0c44c621c0dc1a5c85c6cf2c9
https://doi.org/10.1016/j.anihpc.2020.11.005
https://doi.org/10.1016/j.anihpc.2020.11.005
Publikováno v:
Transactions of the American Mathematical Society. 373:8837-8859
We are concerned with a super-Liouville equation on compact surfaces with genus larger than one, obtaining the first non-trivial existence result for this class of problems via min-max methods. In particular we make use of a Nehari manifold and, afte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c54c1cdb129e0a0d57feff71a1c11ab0
https://doi.org/10.1090/tran/8209
https://doi.org/10.1090/tran/8209
Autor:
Martin Mayer, Andrea Malchiodi
Publikováno v:
Journal of Differential Equations. 268:2089-2124
Prescribing conformally the scalar curvature of a Riemannian manifold as a given function consists in solving an elliptic PDE involving the critical Sobolev exponent. One way of attacking this problem consist in using subcritical approximations for t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::29c240cef25a681caf2c59d33abd77bc
https://doi.org/10.1016/j.jde.2019.09.019
https://doi.org/10.1016/j.jde.2019.09.019
Autor:
Andrea Malchiodi
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 40:3767-3787
In this paper we survey some results concerning the construction of spike-layers, namely solutions to singularly perturbed equations that exhibit a concentration behaviour. Their study is moti- vated by the analysis of pattern formation in biological
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::001bd2d1178cf879c8c3d521ba5eb567
https://doi.org/10.3934/dcds.2020055
https://doi.org/10.3934/dcds.2020055
We consider the case with boundary of the classical Kazdan-Warner problem in dimension greater or equal than three, i.e. the prescription of scalar and boundary mean curvatures via conformal deformations of the metric. We deal in particular with nega
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::66e2c2f2119038ef39b722eb583a1142
https://hdl.handle.net/11384/108916
https://hdl.handle.net/11384/108916
Autor:
Michiel van den Berg, Andrea Malchiodi
We investigate the existence of a maximiser among open, bounded, convex sets in $\R^d,\,d\ge 3$ for the product of torsional rigidity and Newtonian capacity (or logarithmic capacity if $d=2$), with constraints involving Lebesgue measure or a combinat
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2e5d60024a35046ca6c81a3db8a71cb6
http://arxiv.org/abs/2109.04915
http://arxiv.org/abs/2109.04915