On non-local nonlinear elliptic equations involving an eigenvalue problem

The existence and multiplicity of solutions for a class non-local elliptic boundary value problems with superlinear source functions are investigated in this paper. Using variational methods, we examine the changes arise solution behaviors as result effect. Comparisons made results here those problem absence term under same prescribed conditions to highlight effect non-locality on behaviors. Our demonstrate that complexity structures is significantly increased presence possibility ranging from no permissible positive three and, contrary obtained term, profiles also vary depending superlinearity functions.