Zobrazeno 1 - 10
of 58
pro vyhledávání: '"Gaetano Siciliano"'
Ground state solutions for nonlinear Schr\'odinger-Bopp-Podolsky systems with nonperiodic potentials
Publikováno v:
Electronic Journal of Differential Equations, Vol 2024, Iss 43,, Pp 1-25 (2024)
Externí odkaz:
https://doaj.org/article/25feb3942384485e8d73994f8e2c4b84
Publikováno v:
Electronic Journal of Differential Equations, Vol 2023, Iss 66,, Pp 1-18 (2023)
Externí odkaz:
https://doaj.org/article/8d568339ea834b6e9557d63e2cd03d55
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We consider a boundary value problem in a bounded domain involving a degenerate operator of the form $$L(u)=-\textrm{div} (a(x)\nabla u)$$ and a suitable nonlinearity $f$. The function $a$ vanishes on smooth 1-codimensional submanifolds of $\Omega$ w
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f03d3d7f20c45e27d94ff3007229112
https://doi.org/10.3233/asy-211728
https://doi.org/10.3233/asy-211728
Publikováno v:
Mathematische Nachrichten.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::32d25eb147718ce1a23d54311f0706c2
https://doi.org/10.1002/mana.202100308
https://doi.org/10.1002/mana.202100308
Autor:
Gaetano Siciliano, Kaye Silva
Publikováno v:
Israel Journal of Mathematics.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::71a5dba2bda4894732c2bcc2bcb4210d
https://doi.org/10.1007/s11856-023-2477-9
https://doi.org/10.1007/s11856-023-2477-9
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
We study a class of elliptic problems with homogeneous Dirichlet boundary condition and a nonlinear reaction term $f$ which is nonlocal depending on the $L^{p}$-norm of the unknown function. The nonlinearity $f$ can make the problem degenerate since
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82dd56d70f5626e69fecb8ff412d6813
https://doi.org/10.1007/s11784-022-00982-5
https://doi.org/10.1007/s11784-022-00982-5
Consider the following Schr\"odinger-Bopp-Podolsky system in $\mathbb{R}^3$ under an $L^2$-norm constraint, \[ \begin{cases} -\Delta u + \omega u + \phi u = u|u|^{p-2},\newline -\Delta \phi + a^2\Delta^2\phi=4\pi u^2,\newline \|u\|_{L^2}=\rho, \end{c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7f3e3b3dc580a4a8d7949220144349d
http://arxiv.org/abs/2205.10452
http://arxiv.org/abs/2205.10452
Autor:
Gaetano Siciliano
Publikováno v:
Matemática Contemporânea. 51
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ca0e5aaff782034f645e2bb5f4091ba9
https://doi.org/10.21711/231766362022/rmc518
https://doi.org/10.21711/231766362022/rmc518
Autor:
Danilo G. Afonso, Gaetano Siciliano
Publikováno v:
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual)
Universidade de São Paulo (USP)
instacron:USP
Universidade de São Paulo (USP)
instacron:USP
In this paper, we study a Schrödinger–Bopp–Podolsky (SBP) system of partial differential equations in a bounded and smooth domain of [Formula: see text] with a nonconstant coupling factor. Under a compatibility condition on the boundary data we
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6014db52acfa5078302c9f13c9bd5db0
https://doi.org/10.1142/s0219199721501005
https://doi.org/10.1142/s0219199721501005
Autor:
Edwin G. Murcia, Gaetano Siciliano
Publikováno v:
Journal of Mathematical Analysis and Applications. 474:544-571
In this paper we consider the following Schrodinger–Poisson system in the whole R 3 , { − Δ u + u + λ ϕ u = f ( u ) in R 3 , − Δ ϕ = u 2 in R 3 , where λ > 0 and the nonlinearity f is “asymptotically cubic” at infinity. This implies t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::00e8d2d5b3eb19ca5afcdd751f08e8db
https://doi.org/10.1016/j.jmaa.2019.01.063
https://doi.org/10.1016/j.jmaa.2019.01.063