TITLE:
Semilinear Fractional Elliptic Equation of Normal Solution
AUTHORS:
Tao Li
KEYWORDS:
Fractional Laplacian, Variational Method, Semilinear
JOURNAL NAME:
Open Access Library Journal,
Vol.11 No.4,
March
29,
2024
ABSTRACT: In this paper, a semilinear elliptic equation of fractional order is constructed by combining the semilinear elliptic equation with the fractional order equation. On this basis, the “standardized” solution, which is often sought by physicists, is studied. In order to overcome the problem of lack of boundness, we set up appropriate conditions to prove the existence of the solution by means of variational theorem and the mountain road theorem.