Exploració per tema "Fractional Laplacian"
Ara es mostren els items 8-14 de 14
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Nonexistence results for nonlocal equations with critical and supercritical nonlinearities
(2015-01-02)
Article
Accés obertWe prove nonexistence of nontrivial bounded solutions to some nonlinear problems involving nonlocal operators of the form; [GRAPHICS]; These operators are infinitesimal generators of symmetric Levy processes. Our results ... -
Periodic solutions to PDEs with fractional diffusion
(Universitat Politècnica de Catalunya, 2016-01)
Treball Final de Grau
Accés obertThe aim of this Bachelor's Thesis is the study of periodic solutions to nonlinear equations involving the fractional Laplace operator. Our starting point is the Benjamin-Ono equation in water waves, a completely integrable ... -
Positive solutions of nonlinear problems involving the square root of the Laplacian
(2009-05)
Report de recerca
Accés obertWe consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power nonlinearities, ... -
Regularity of radial stable solutions to semilinear elliptic equations for the fractional laplacian
(2018-11-01)
Article
Accés obert -
Some constructions for the fractional Laplacian on noncompact manifolds
(2015-01-01)
Article
Accés obertWe give a definition of the fractional Laplacian on some noncompact manifolds, through an extension problem introduced by Caffarelli-Silvestre. While this definition in the compact case is straightforward, in the noncompact ... -
Stable and periodic solutions to nonlinear equations with fractional diffusion
(Universitat Politècnica de Catalunya, 2016-07)
Projecte Final de Màster Oficial
Accés obertThe aim of this thesis is to study stable solutions to nonlinear elliptic equations involving the fractional Lapacian. More precisely, we study the extremal solution for the problem $(\Delta )^s u = \lambda f(u)$ in $\Omega$, ... -
The Dirichlet problem for the fractional Laplacian: Regularity up to the boundary
(2014-03)
Article
Accés restringit per política de l'editorialWe study the regularity up to the boundary of solutions to the Dirichlet problem for the fractional Laplacian. We prove that if u is a solution of (-d)su=g in O, u=0 in Rn\O, for some s¿(0, 1) and g¿L8(O), then u is Cs(Rn) ...