%0 Journal Article
%T Semilinear Fractional Elliptic Equation of Normal Solution
%A Tao Li
%J Open Access Library Journal
%V 11
%N 4
%P 1-12
%@ 2333-9721
%D 2024
%I Open Access Library
%R 10.4236/oalib.1111412
%X 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 ˇ°standardizedˇ± 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.
%K Fractional Laplacian
%K Variational Method
%K Semilinear
%U http://www.oalib.com/paper/6820202