Zobrazeno 1 - 10
of 101
pro vyhledávání: '"Lucia Marcello"'
Autor:
Lucia Marcello, Schuricht Friedemann
Publikováno v:
Advances in Nonlinear Analysis, Vol 2, Iss 1, Pp 91-125 (2013)
We consider a general class of eigenvalue problems where the leading elliptic term corresponds to a convex homogeneous energy function that is not necessarily differentiable. We derive a strong maximum principle and show uniqueness of the first eigen
Externí odkaz:
https://doaj.org/article/00735b41b7bf4a2299a86ed326d5f7c1
Autor:
Lucia Marcello, Puls Michael J.
Publikováno v:
Analysis and Geometry in Metric Spaces, Vol 3, Iss 1 (2015)
Let p be a real number greater than one and let X be a locally compact, noncompact metric measure space that satisfies certain conditions. The p-Royden and p-harmonic boundaries of X are constructed by using the p-Royden algebra of functions on X and
Externí odkaz:
https://doaj.org/article/df56f395cc0b4596af54bcbf739b3773
Autor:
Esposito, Pierpaolo, Lucia, Marcello
We consider a quasilinear equation involving the $n-$Laplacian and an exponential nonlinearity, a problem that includes the celebrated Liouville equation in the plane as a special case. For a non-compact sequence of solutions it is known that the exp
Externí odkaz:
http://arxiv.org/abs/2111.11781
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:
http://arxiv.org/abs/2012.02214
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:
http://arxiv.org/abs/1908.06457
Autor:
Prashanth, S, Lucia, Marcello
In a seminal work, B. Simon provided a classification of nonnegative Schr\"odinger operators $-\Delta+V$ into subcritical and critical operators based on the long-term behaviour of the associated heat kernel. Later works by others developed an altern
Externí odkaz:
http://arxiv.org/abs/1805.01131
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:
http://arxiv.org/abs/1709.07656
Akademický článek
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Publikováno v:
In Annales de l'Institut Henri Poincaré / Analyse non linéaire March-April 2021 38(2):243-279
We present results for the equilibrium statistics and dynamic evolution of moderately large ($n = {\mathcal{O}}(10^2 - 10^3)$) numbers of interacting point vortices on the unit sphere under the constraint of zero mean angular momentum. We consider a
Externí odkaz:
http://arxiv.org/abs/1407.3151