EXISTENCE OF POSITIVE SOLUTIONS FOR A CLASS OF FRACTIONAL CHOQUARD EQUATION IN EXTERIOR DOMAIN

Torres Ledesma C.E. · Discrete and Continuous Dynamical Systems- Series A (2022) · DOI: 10.3934/dcds.2022016

Resumen

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.

Instituciones: Universidad Nacional de Trujillo