On dual cone theory for Euclidean Bosonic equations

de Lima R.N.; Ledesma C.E.T.; Nóbrega A.B.; Prado H. · Journal of Fixed Point Theory and Applications (2024) · DOI: 10.1007/s11784-024-01146-3

Resumen

In this paper we get the existence of nodal solutions and we will study some bifurcation properties for the following class of nonlocal problems (Formula presented.) where N≥3, c>0, g:RN×R→R is a C1-function, Δ is the euclidean Laplacian and the linear operator e-cΔ is defined by the Fourier transform on a certain Hilbert space. This class of problems arises as models in the mathematical physics literature. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2024.

Instituciones: Universidad Nacional de Trujillo