Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Stefano Biagi"'
Autor:
Stefano Biagi
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 14, Iss 1, Pp 15-37 (2023)
In this note we present some existence results, in the spirit of the celebrated paper by Brezis and Nirenberg (CPAM, 1983), for a perturbed critical problem driven by a mixed local and nonlocal linear operator. We develop an existence theory, both in
Externí odkaz:
https://doaj.org/article/faf6904c63fa4f99bb931db8418fbaed
Publikováno v:
Mathematics in Engineering, Vol 5, Iss 1, p 125 (2023)
Given a bounded open set $ \Omega\subseteq{\mathbb{R}}^n $, we consider the eigenvalue problem for a nonlinear mixed local/nonlocal operator with vanishing conditions in the complement of $ \Omega $. We prove that the second eigenvalue $ \lambda_2(\O
Externí odkaz:
https://doaj.org/article/6c078818b3ce4a2f8c8bd3e9f6830b75
Autor:
Stefano Biagi
Publikováno v:
Bruno Pini Mathematical Analysis Seminar, Vol 10, Iss 1, Pp 83-97 (2019)
Maximum Principles on unbounded domains play a crucial role in several problems related to linear second-order PDEs of elliptic and parabolic type. In the present notes, based on a joint work with prof. E. Lanconelli, we consider a class of sub-ellip
Externí odkaz:
https://doaj.org/article/748c839a65f24ea48b0bf31bcb981525
Let $L=sum_{j=1}^m X_j^2$ be a Hörmander sum of squares of vector fields in $R^n$, where any $X_j$ is homogeneous of degree 1 with respect to a family of non-isotropic dilations in $R^n$. Then, $L$ is known to admit a global fundamental solution Γ(
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d047893dafe57900349130f59aa8266a
https://hdl.handle.net/11311/1223054
https://hdl.handle.net/11311/1223054
Autor:
Ermanno Lanconelli, Stefano Biagi
Publikováno v:
Journal of Differential Equations. 269:9680-9719
Maximum Principles on unbounded domains play a crucial r\^ole in several problems related to linear second-order PDEs of elliptic and parabolic type. In this paper we consider a class of sub-elliptic operators $\mathcal{L}$ in $\mathbb{R}^N$ and we e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::58bab3eeae8e16ab9131acc6cc83ab7a
https://doi.org/10.1016/j.jde.2020.06.060
https://doi.org/10.1016/j.jde.2020.06.060
Publikováno v:
Advanced Nonlinear Studies. 20:911-931
We discuss, by topological methods, the solvability of systems of second-order elliptic differential equations subject to functional boundary conditions under the presence of gradient terms in the nonlinearities. We prove the existence of nonnegative
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fe13b48b4d27b77b46808c89221abfb0
https://doi.org/10.1515/ans-2020-2101
https://doi.org/10.1515/ans-2020-2101
We characterize the existence of a unique positive weak solution for a Dirichlet boundary value problem driven by a linear second-order differential operator modeled on Hörmander vector fields, where the right hand side has sublinear growth.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aebb77338674027cdcb81c374dc2e934
http://hdl.handle.net/11585/856886
http://hdl.handle.net/11585/856886
In this paper, we provide necessary and sufficient conditions for the existence of a unique positive weak solution for some sublinear Dirichlet problems driven by the sum of a quasilinear local and a nonlocal operator, i.e. [Formula: see text] Our ma
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b170a05d7a93e1759c58903b8044bbd4
https://hdl.handle.net/11585/898551
https://hdl.handle.net/11585/898551
Publikováno v:
Linear and Multilinear Algebra. 68:1310-1328
We investigate some topics related to the celebrated Baker-Campbell-Hausdorff Theorem: a non-convergence result and prolongation issues. Given a Banach algebra $\mathcal{A}$ with identity $I$, and given $X,Y\in \mathcal{A}$, we study the relationship
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2a4cd27c43f545ab64f04f48ac99a4c
https://doi.org/10.1080/03081087.2018.1540534
https://doi.org/10.1080/03081087.2018.1540534
Let L = ∑ j = 1 m X j 2 be a Hormander sum of squares of vector fields in space R n , where any X j is homogeneous of degree 1 with respect to a family of non-isotropic dilations in space. In this paper we prove global estimates and regularity prop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::33ec6b0734e82b7b0bd81ecb16818e5e
https://hdl.handle.net/11585/816788
https://hdl.handle.net/11585/816788