PROPERTIES OF THE LEAST ACTION LEVEL AND THE EXISTENCE OF GROUND STATE SOLUTION TO FRACTIONAL ELLIPTIC EQUATION WITH HARMONIC POTENTIAL

Torres Ledesma C.E.; Gutierrez H.C.; Rodríguez J.A.; Bonilla M.M. · Opuscula Mathematica (2024) · DOI: 10.7494/opmath.2024.44.5.749

Resumen

In this article we consider the following fractional semilinear elliptic equation (Equation presented) where s (Equation presented). By using variational methods we show the existence of a symmetric decreasing ground state solution of this equation. Moreover, we study some continuity and differentiability properties of the ground state level. Finally, we consider a bifurcation type result.

Instituciones: Universidad Nacional de Trujillo