Zobrazeno 1 - 10
of 48
pro vyhledávání: '"Daniele Bartolucci"'
Autor:
Daniele Bartolucci, Aleks Jevnikar
Publikováno v:
Journal of Differential Equations. 306:152-188
For any $\Omega\subset \mathbb{R}^N$ smooth and bounded domain, we prove uniqueness of positive solutions of free boundary problems arising in plasma physics on $\Omega$ in a neat interval depending only by the best constant of the Sobolev embedding
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2d2dea9b2a9f18ccc661558ec0e406f6
https://doi.org/10.1016/j.jde.2021.10.026
https://doi.org/10.1016/j.jde.2021.10.026
Publikováno v:
Advanced Nonlinear Studies. 23
In this article, we prove that, generically in the sense of domain variations, any solution to a nonlinear eigenvalue problem is either nondegenerate or the Crandall-Rabinowitz transversality condition that is satisfied. We then deduce that, generica
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c8d952ff115b7b04ca8c057a16c96853
https://doi.org/10.1515/ans-2022-0062
https://doi.org/10.1515/ans-2022-0062
In this note we show non-degeneracy and uniqueness results for solutions of Toda systems associated to general simple Lie algebras with multiple singular sources on bounded domains. The argument is based on spectral properties of Cartan matrices and
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::35b1d8c1e1dd3a65b5b48ba5b85e20ca
https://hdl.handle.net/11390/1245046
https://hdl.handle.net/11390/1245046
Autor:
Daniele Bartolucci, Gershon Wolansky
Publikováno v:
Journal of Differential Equations. 268:6646-6665
We consider a non-local elliptic equation with exponential nonlinearity, closely related to the mean field Liouville equation. The motivation for this equation is a variational entropy maximization problem under prescribed mass and energy. We provide
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e1af7f33d5846ad14974f3fb2e16ede3
https://doi.org/10.1016/j.jde.2019.11.040
https://doi.org/10.1016/j.jde.2019.11.040
Autor:
Daniele Bartolucci, Aleks Jevnikar
For $\Omega\subset \mathbb{R}^2$ a smooth and bounded domain, we derive a sharp universal energy estimate for non-negative solutions of free boundary problems on $\Omega$ arising in plasma physics. As a consequence, we are able to deduce new universa
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2430a40c68b75ac42f32614cb126b1c5
http://hdl.handle.net/11390/1217412
http://hdl.handle.net/11390/1217412
We are concerned with the global bifurcation analysis of positive solutions to free boundary problems arising in plasma physics. We show that in general, in the sense of domain variations, the following alternative holds: either the shape of the bran
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::719d51637ae1f770ed2a11d694a17913
http://hdl.handle.net/11390/1218284
http://hdl.handle.net/11390/1218284
Autor:
Daniele Bartolucci, Daniele Castorina
Publikováno v:
ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE. :35-64
We obtain a generalized version of an inequality, first derived by C. Bandle in the analytic setting, for weak subsolutions of a singular Liouville-type equation. As an application we obtain a new proof of the Alexandrov isoperimetric inequality on s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a07344be5fb84ebc4fe95bef1b961ec6
https://doi.org/10.2422/2036-2145.201609_001
https://doi.org/10.2422/2036-2145.201609_001
Autor:
Daniele Bartolucci, Andrea Malchiodi
In this paper we are interested in understanding the structure of domains of first and second kind, a concept motivated by problems in statistical mechanics. We prove some openness property for domains of first kind with respect to a suitable topolog
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19e2611ac909e95e4bb8d925c692e491
Publikováno v:
Mathematische Annalen. 374:1883-1922
We derive a singular version of the Sphere Covering Inequality which was recently introduced in Gui and Moradifam (Invent Math. https://doi.org/10.1007/s00222-018-0820-2 , 2018) suitable for treating singular Liouville-type problems with superharmoni
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fa670c19a4d3b1864e8c92209a21c510
https://doi.org/10.1007/s00208-018-1761-1
https://doi.org/10.1007/s00208-018-1761-1
We are concerned with the mean field equation with singular data on bounded domains. By assuming a singular point to be a critical point of the 1-vortex Kirchhoff-Routh function, we prove local uniqueness and non-degeneracy of bubbling solutions blow
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8b6ca074cca9adfd51f7beb5203d09f2
http://arxiv.org/abs/1905.11749
http://arxiv.org/abs/1905.11749