Akademik Veri Yönetim Sistemi
Journal of Contemporary Applied Mathematics, cilt.16, sa.2, ss.13-33, 2026 (Scopus)
In this work we consider a nonlocal problem for the Laplace equation on an unbounded domain and define the concept of a strong solution of this problem in Sobolev spaces generated by the Orlicz norm. We take advantage of the fact that the system of root functions of the spectral problem corresponding to this problem forms a basis for the Orlicz space. We apply the spectral method using Boyd indices in symmetric spaces and demonstrate the correct solvability of the problem in Orlicz-Sobolev spaces. Solving the problem in Orlicz-Sobolev spaces will pave the way for generalizing the solution to symmetric Sobolev spaces which have a more general structure. Key Words and Phrases: Orlicz-Sobolev spaces, Laplace equat