Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Marcello Lucia"'
Autor:
Bernd Kawohl, Marcello Lucia
Publikováno v:
Journal d'Analyse Mathématique. 142:667-696
We consider the following semilinear overdetermined problem on a two dimensional bounded or unbounded domain Ω with analytic boundary ∂Ω having at least one bounded connected component $$\left\{ {\begin{array}{*{20}{c}} { - \Delta u = g(u)}\;\;\;
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44ae78aff766e55cbe1570d1b162cf7a
https://doi.org/10.1007/s11854-020-0146-z
https://doi.org/10.1007/s11854-020-0146-z
Autor:
Marcello Lucia, S. Prashanth
Publikováno v:
Journal of Differential Equations. 269:7211-7213
We show that the cone of non-negative distributional supersolutions is one dimensional for an operator − Δ + V with a locally integrable potential V satisfying property (1.1) below. As a consequence, we obtain a characterisation of critical/subcri
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9c3f7c6a8f6204ab6dbba61df7b0786f
https://doi.org/10.1016/j.jde.2020.05.031
https://doi.org/10.1016/j.jde.2020.05.031
Autor:
Marcello Lucia, S. Prashanth
Publikováno v:
Journal of Differential Equations. 265:3400-3440
In a seminal work, B. Simon provided a classification of nonnegative Schr��dinger operators $-��+V$ into subcritical and critical operators based on the long-term behaviour of the associated heat kernel. Later works by others developed an alt
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b38ef3b5bac1d40819be957e3cbb4689
https://doi.org/10.1016/j.jde.2018.05.006
https://doi.org/10.1016/j.jde.2018.05.006
Publikováno v:
Recercat. Dipósit de la Recerca de Catalunya
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
instname
UPCommons. Portal del coneixement obert de la UPC
Universitat Politècnica de Catalunya (UPC)
This article concerns the antisymmetry, uniqueness, and monotonicity properties of solutions to some elliptic functionals involving weights and a double well potential. In the one-dimensional case, we introduce the continuous odd rearrangement of an
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6417e220aed04d237b9734c903c9ebca
https://doi.org/10.1080/03605302.2018.1446168
https://doi.org/10.1080/03605302.2018.1446168
In this paper we define a Donaldson type functional whose Euler-Lagrange equations are a system of differential equations which corresponds to Hitchin's self-duality equations for a suitable choice of Higgs bundle on closed Riemann surfaces. The main
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2ab570371393edb8ba260b6f2527c83c
Initiated by the work of Uhlenbeck in late 1970s, we study questions about the existence, multiplicity and asymptotic behavior for minimal immersions of closed surface in some hyperbolic three-manifold, with prescribed conformal structure on the surf
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f9f2dec40e72ed63d6a573f9a95b8dce
http://arxiv.org/abs/1908.06457
http://arxiv.org/abs/1908.06457
Publikováno v:
Discrete & Continuous Dynamical Systems - A. 37:1789-1818
We consider the following mean field type equations on domains of \begin{document}$\mathbb R^2$\end{document} under Dirichlet boundary conditions: \begin{document}$\left\{ \begin{array}{l} - \Delta u = \varrho \frac{{K {e^u}}}{{\int_\Omega {K {e^u}}
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::44ac1ca261ecb35a421c50b132768a5c
https://doi.org/10.3934/dcds.2017075
https://doi.org/10.3934/dcds.2017075
Autor:
Marcello Lucia, Guido Sweers
Publikováno v:
Communications on Pure & Applied Analysis. 20:4177
We consider fully coupled cooperative systems on \begin{document}$ \mathbb{R}^n $\end{document} with coefficients that decay exponentially at infinity. Expanding some results obtained previously on bounded domain, we prove that the existence of a str
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b35cb94e4cadbd43900124442065f7d4
https://doi.org/10.3934/cpaa.2021152
https://doi.org/10.3934/cpaa.2021152
Autor:
Marcello Lucia, Zhongwei Tang
Publikováno v:
Nonlinear Differential Equations and Applications NoDEA. 24
Motivated by problems arising in nonlinear optics and Bose–Einstein condensates, we consider in $$\mathbb R^N$$ ( $$N \le 3$$ ) the following $$n \times n$$ system of coupled Schrodinger equations where $$\varepsilon >0$$ is a parameter, $$\beta _{
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8f2b5090cbc8ac578369529338e0619c
https://doi.org/10.1007/s00030-017-0489-z
https://doi.org/10.1007/s00030-017-0489-z
Publikováno v:
Mathematical Research Letters. 20:501-520
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9cb4be51fc07c5c5d8ce62da324d26f9
https://doi.org/10.4310/mrl.2013.v20.n3.a8
https://doi.org/10.4310/mrl.2013.v20.n3.a8