Exploració per tema "Classificació AMS::35 Partial differential equations::35J Partial differential equations of elliptic type"
Ara es mostren els items 1-20 de 38
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A Caginalp phase-field system based on type III heat conduction with two temperatures
(2016-06-01)
Article
Accés obertOur aim in this paper is to study a generalization of the Caginalp phasefield system based on the theory of type III thermomechanics with two temperatures for the heat conduction. In particular, we obtain well-posedness ... -
A face-centred finite volume method for second-order elliptic problems
(John Wiley & sons, 2018-08-24)
Article
Accés obertThis work proposes a novel finite volume paradigm, the face-centred finite volume (FCFV) method. Contrary to the popular vertex (VCFV) and cell (CCFV) centred finite volume methods, the novel FCFV defines the solution on ... -
A mean field equation on a torus: one-dimensional symmetry of solutions
(2003)
Article
Accés obertWe study the equation $$-\Delta u=\lambda\left(\frac{e^u}{\int_\oep e^u}- \frac{1}{|\oep|}\right)\quad \text{in }\oep$$ for $u\in E$, where $E = \{ u \in H^1(\oep): u \hbox{ is doubly periodic}, \int_{\oep} u = 0 \}$ and ... -
A Weierstrass extremal field theory for the fractional Laplacian
(De Gruyter, 2023-10-27)
Article
Accés restringit per política de l'editorialIn this paper, we extend, for the first time, part of the Weierstrass extremal field theory in the Calculus of Variations to a nonlocal framework. Our model case is the energy functional for the fractional Laplacian (the ... -
Antisymmetry of solutions for some weighted elliptic problems
(2018-03-17)
Article
Accés obertThis 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 ... -
Asymptotic behavior of palais-smale sequences associated with fractional yamabe-type equations
(2015-12-01)
Article
Accés obertIn this paper, we analyze the asymptotic behavior of Palais-Smale sequences associated to fractional Yamabe-type equations on an asymptotically hyperbolic Riemannian manifold. We prove that Palais-Smale sequences can be ... -
Bounded solutions of some nonlinear elliptic equations in cylindrical domains
(1997)
Article
Accés obertThe existence of a (unique) solution of the second order semilinear elliptic equation $$ \sum^{n}_{i,j=0}a_{ij}(x)u_{x_{i}x_{j}}+f(\nabla u,u,x)=0 $$ with $x=(x_{0},x_{1},\dots, x_{n})\in (s_{0},\infty )\times \Omega '$, ... -
Decay rates of Saint-Venant type for a functionally graded heat-conducting hollowed cylinder
(2019-05)
Article
Accés obertIn this paper we consider the case of a functionally graded heat-conducting hollowed cylinder. Our purpose is to investigate the consequences of the material inhomogeneity on the decay of Saint-Venant end effects in the ... -
Decay rates of Saint-Venant type for functionally graded heat-conducting materials
(2019-06)
Article
Accés obertThis paper investigates decay rates for the spatial behaviour of solutions for functionally graded heat-conducting materials. From a mathematical point of view, we obtain a new inequality of Poincarétype. This new result ... -
Delaunay cylinders with constant non-local mean curvature
(Universitat Politècnica de Catalunya, 2017-05)
Projecte Final de Màster Oficial
Accés obertThe aim of this master's thesis is to obtain an alternative proof, using variational techniques, of an existence result for periodic sets in $\mathbb{R}^2$ that minimize a non-local version of the classical perimeter ... -
Delaunay hypersurfaces with constant nonlocal mean curvature
(2017-08-12)
Article
Accés restringit per política de l'editorialWe study hypersurfaces of RN with constant nonlocal (or fractional) mean curvature. This is the equation associated with critical points of the fractional perimeter functional under a volume constraint. We establish the ... -
Entire solutions of semilinear elliptic equations in R<sup>3</sup> and a conjecture of De Giorgi
(1999)
Article
Accés obert -
Equacions en derivades parcials, geometria i control estocastic
(Societat Catalana de Matemàtiques, 2000)
Article
Accés obert -
Exponentially small asymptotic formulas for the length spectrum in some billiard tables
(2016-04-05)
Article
Accés obertLet q = 3 be a period. There are at least two (1, q)-periodic trajectories inside any smooth strictly convex billiard table. We quantify the chaotic dynamics of axisymmetric billiard tables close to their boundaries by ... -
Extremal solutions and instantaneous complete blow-up for elliptic and parabolic problems
(2005)
Article
Accés obert -
From probability to PDEs : Stochastic differential equations and applications
(Universitat Politècnica de Catalunya, 2014-07)
Projecte Final de Màster Oficial
Accés obertThe goal of this project is to give probabilistic representations of solution of different types of PDEs. In particular, we study the Brownian motion and relate this concept with the solution of linear PDEs. Moreover, we ... -
Improving bounds on the order of regular graphs of girth 5
(2019-10-01)
Article
Accés obertA -graph is a -regular graph with girth and a -cage is a -graph with the fewest possible number of vertices . Constructing -cages and determining the order are both very hard problems. For this reason, an intensive line ... -
Interior C<sup>2,a</sup> regularity theory for a class of nonconvex fully nonlinear elliptic equations
(2001)
Article
Accés obertWe prove the interior C2,α regularity of solutions for some nonconvex fully nonlinear elliptic equations F(D2u, x) = f (x), x ∈ B1 ⊂ Rn. Our hypothesis is that, for every x ∈ B1, F(·,x) is the minimum of a concave operator ... -
Layer potentials in boundary value problems and aerodynamics
(Universitat Politècnica de Catalunya, 2017-01)
Treball Final de Grau
Accés obertOn this Bachelor's Thesis we apply the method of layer potentials on two different contexts. On the first part of this work we will prove some important properties of the single and double layer potentials for the Laplacian ... -
Layer solutions for the fractional Laplacian on hyperbolic space: existence, uniqueness and qualitative properties
(2014-12-01)
Article
Accés restringit per política de l'editorialWe investigate the equation; (-Delta(Hn))(gamma) w = f(w) in H-n,; where (-Delta(Hn))(gamma) corresponds to the fractional Laplacian on hyperbolic space for gamma is an element of(0, 1) and f is a smooth nonlinearity that ...