Exploració per tema "Dirichlet problem"
Ara es mostren els items 1-6 de 6
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A universal Hölder estimate up to dimension 4 for stable solutions to half-Laplacian semilinear equations
(2022-04-25)
Article
Accés restringit per política de l'editorialWe study stable solutions to the equation , posed in a bounded domain of . For nonnegative convex nonlinearities, we prove that stable solutions are smooth in dimensions . This result, which was known only for , follows ... -
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 ... -
Local integration by parts and Pohozaev indentities for higuer order fractional Laplacians
(2015-05-01)
Article
Accés restringit per política de l'editorialWe establish an integration by parts formula in bounded domains for the higher order fractional Laplacian (-Delta)(s) with s > 1. We also obtain the Pohozaev identity for this operator. Both identities involve local boundary ... -
Regularity of radial stable solutions to semilinear elliptic equations for the fractional laplacian
(2018-11-01)
Article
Accés obert -
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) ... -
The Pohozaev identity for the fractional Laplacian
(2014-08-01)
Article
Accés obertIn this paper we prove the Pohozaev identity for the semilinear Dirichlet problem (-Delta)(s) u = f(u) in Omega, u equivalent to 0 in R-n\Omega. Here, s is an element of (0, 1), (-Delta)(s) is the fractional Laplacian in ...