Some existence results for a class of Euclidean bosonic equations

Torres Ledesma C.E.; Gutierrez H.C.; Bonilla M.M.; Rodríguez J.A. · Journal of Mathematical Analysis and Applications (2023) · DOI: 10.1016/j.jmaa.2022.126852

Resumen

We deal with a class of non-linear bosonic equation on Euclidean space Δe−cΔu−u+g(x,u)=0,x∈RN. These equations emerge in the study of nonlocal cosmology and string theory, and they depend on operators of the form exp⁡(−cΔ), in which Δ is the Euclidean Laplace operator. By using variational method we study the existence of ground state solution and the existence of infinitely many solutions of (P).

Instituciones: Universidad Nacional de Trujillo