Unique continuation properties for relativistic Schrödinger operators with a singular potential

Mouhamed Moustapha  Fall; Veronica  Felli

doi:10.3934/dcds.2015.35.5827

Article Contents

2015, Volume 35, Issue 12: 5827-5867. Doi: 10.3934/dcds.2015.35.5827

This issue Previous Article Extremal domains for the first eigenvalue in a general compact Riemannian manifold Next Article Symmetry of components, Liouville-type theorems and classification results for some nonlinear elliptic systems

Unique continuation properties for relativistic Schrödinger operators with a singular potential

Mouhamed Moustapha Fall^1, and
Veronica Felli^2,

1.
African Institute for Mathematical Sciences (A.I.M.S.) of Senegal, KM 2, Route de Joal, B.P. 1418, Mbour
2.
Università di Milano Bicocca, Dipartimento di Matematica e Applicazioni, Via Cozzi 55, 20125 Milano

Received: November 30, 2013

Published: November 2015

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Abstract

Asymptotics of solutions to relativistic fractional elliptic equations with Hardy type potentials is established in this paper. As a consequence, unique continuation properties are obtained.

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Mathematics Subject Classification: Primary: 35R11, 35J75; Secondary: 35B40.

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