Open AccessExistence of positive solutions for a class of fractional Choquard equation in exterior domain
Author(s) -
César E. Torres Ledesma
Publication year - 2022
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.289
H-Index - 70
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2022016
Subject(s) - fractional laplacian , lemma (botany) , mathematics , domain (mathematical analysis) , class (philosophy) , nonlinear system , type (biology) , mathematical analysis , pure mathematics , p laplacian , physics , computer science , quantum mechanics , ecology , poaceae , artificial intelligence , biology , boundary value problem
In this paper we show existence of positive solutions for a class of problems involving the fractional Laplacian in exterior domain and Choquard type nonlinearity. We prove the main results using variational method combined with Brouwer theory of degree and Deformation Lemma..