Title of article :
Existence of Solution for A Class of Fractional Problems with Sign-Changing Functions
Author/Authors :
Yaghoobi, F.M Hamedan Branch - Islamic Azad University , Shamshiri, J Tabaran Institute of Higher Education
Abstract :
In this paper, we study the existence and multiplicity of solutions for the following fractional problem (-A), u + a(z)|P-2x = f(x,x), with the Dirichlet boundary condition u = 0 on 232 where 2 is a bounded domain with smooth boundary, p > 2, s € (0,1) and a(z) is a sign-changing function. Moreover, we consider two different assumptions on the function f(x,u), including the cases of nonnegative and sign-changing function.
Keywords :
Fibering map , Nehari manifold , Weak solutions , Critical points , Fractional partial differential equations
Journal title :
Journal of Mathematical Extension(IJME)
