Within the framework of Hilbert spaces, we solve nonlocal problems in bounded domains
with prescribed conditions on the complement of the domain. Our main focus is on the …

We prove trace and extension results for fractional Sobolev spaces of order s∈(0, 1). These
spaces are used in the study of nonlocal Dirichlet and Neumann problems on bounded …

This thesis explores the $ L^ 2$-Theory for nonlocal operators of L\'evy type on bounded
domains, as well as their local counterparts. The research was completed at Bielefeld …

We study the regularity up to the boundary of solutions to the Neumann problem for the
fractional Laplacian. We prove that if $ u $ is a weak solution of $(-\Delta)^ su= f $ in …

In this article we establish fine results on the boundary behavior of solutions to nonlocal
equations in $ C^{k,\gamma} $ domains which satisfy local Neumann conditions on the …

In this paper we show existence of positive solutions for a class of problems involving the
fractional Laplacian in exterior domain and the nonlinearity with critical growth. We prove the …

In this work, we study the singular problem involving fractional Laplacian operator perturbed
with a Choquard nonlinearity using the idea of constrained minimization based on Nehari …

INFINITELY MANY SOLUTIONS FOR A NONLOCAL TYPE PROBLEM WITH SIGN-CHANGING
WEIGHT FUNCTION 1. Introduction The aim of this article Page 1 Electronic Journal of …

Sign-changing solutions for a class of fractional Kirchhoff-type problem with logarithmic
nonlinearity Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 6(1): 868–881 …

Existence of a positive solution for a class of Schrödinger logarithmic equations on exterior
domains | Zeitschrift für angewandte Mathematik und Physik Skip to main content …