J 2018

Boundary singularities of solutions to semilinear fractional equations

NGUYEN, Phuoc-Tai and Laurent VÉRON

Basic information

Original name

Boundary singularities of solutions to semilinear fractional equations

Authors

NGUYEN, Phuoc-Tai (704 Viet Nam, belonging to the institution) and Laurent VÉRON (250 France)

Edition

Advanced Nonlinear Studies, Germany, De Gruyter, 2018, 1536-1365

Other information

Language

English

Type of outcome

Article in a journal

Field of Study

10101 Pure mathematics

Country of publisher

Germany

Confidentiality degree

is not subject to a state or trade secret

References:

Impact factor

Impact factor: 1.650

RIV identification code

RIV/00216224:14310/18:00104021

Organization unit

Faculty of Science

DOI

UT WoS

000428801600003

EID Scopus

2-s2.0-85042004513

Keywords in English

s-Harmonic Functions;Semilinear Fractional Equations;Boundary Trace

Tags

International impact, Reviewed
Changed: 23/4/2024 12:33, Mgr. Michal Petr

Abstract

In the original language

We prove the existence of a solution of (-Delta)(s)u + f(u) = 0 in a smooth bounded domain Omega with a prescribed boundary value mu in the class of Radon measures for a large class of continuous functions f satisfying a weak singularity condition expressed under an integral form. We study the existence of a boundary trace for positive moderate solutions. In the particular case where f(u) = u(p) and mu is a Dirac mass, we show the existence of several critical exponents p. We also demonstrate the existence of several types of separable solutions of the equation (-Delta)(s)u + u(p) = 0 in R-+(N).