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作者:Roberta Musina , Alexander I. Nazarov , Konijeti Sreenadh
来源:[J].Potential Analysis(IF 0.959), 2017, Vol.46 (3), pp.485-498Springer
摘要:In this paper we study the obstacle problems for the fractional Lapalcian of order s ∈ (0, 1) in a bounded domain \({\Omega }\subset \mathbb {R}^{n}\) , under mild assumptions on the data.
作者:Kamil Kaleta , József Lőrinczi
来源:[J].Potential Analysis(IF 0.959), 2017, Vol.46 (4), pp.647-688Springer
摘要:We study the spatial decay of eigenfunctions of non-local Schrödinger operators whose kinetic terms are generators of symmetric jump-paring Lévy processes with Kato-class potentials decaying at infinity. This class of processes has the property that the intensity of single l...
作者:Hendrik De Bie , David Eelbode , Matthias Roels
来源:[J].Potential Analysis(IF 0.959), 2017, Vol.47 (2), pp.123-149Springer
摘要:This paper deals with a certain class of second-order conformally invariant operators acting on functions taking values in particular (finite-dimensional) irreducible representations of the orthogonal group. These operators can be seen as a generalisation of the Laplace operator ...
作者:Léonard Gallardo , Chaabane Rejeb
来源:[J].Potential Analysis(IF 0.959), 2017, Vol.47 (4), pp.369-400Springer
摘要:The purpose of this paper is to present a new theory of subharmonic functions for the Dunkl-Laplace operator Δ k in \(\mathbb {R}^{d}\) associated to a root system and a multiplicity function k ≥ 0. In particular, we introduce and study a Dunkl-Newton kernel and ...
作者:Shirshendu Ganguly , Yuval Peres
来源:[J].Potential Analysis(IF 0.959), 2017, Vol.46 (4), pp.799-818Springer
摘要:In this article we prove convergence of Green functions with Neumann boundary conditions for the random walk to their continuous counterparts. Our methods rely on local central limit theorems for convergence of random walks on discretizations of smooth domains to Reflected Browni...
作者:Yong Ding , Xudong Lai
来源:[J].Potential Analysis(IF 0.959), 2017, Vol.47 (2), pp.169-187Springer
摘要:hold for the maximal operator M Ω and \(f\in L^{1}(\mathbb {R}^{n})\) , here \(\tilde {\omega }_{1}\) denotes the L 1 integral modulus of continuity of Ω defined by translation in \(\mathbb {R}^{n}\) .
作者:Marcelo F. de Almeida , Lucas C. F. Ferreira , Juliana C. Precioso
来源:[J].Potential Analysis(IF 0.959), 2017, Vol.46 (3), pp.589-608Springer
摘要:This paper concerns with the heat equation in the half-space \(\mathbb {R}_{+}^{n}\) with nonlinearity and singular potential on the boundary \(\partial \mathbb {R}_{+}^{n}\) . We show a well-posedness result that allows us to consider critical potentials with infinite many singu...
作者:Jean-Baptiste Casteras , Ilkka Holopainen , Jaime B. Ripoll
来源:[J].Potential Analysis(IF 0.959), 2017, Vol.47 (4), pp.485-501Springer
摘要:We study the Dirichlet problem at infinity on a Cartan-Hadamard manifold M of dimension n ≥ 2 for a large class of operators containing, in particular, the p -Laplacian and the minimal graph operator. We extend several existence results obtained for the p -Laplacian to our c...

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