  For a nonlinear partial differential equation for (pseudo)scalars in the bulk
of Euclidean AdS_4, arising from a truncation of 11-dimensional supergravity
over AdS_4 x S^7/Z_k, we use math tools and in particular Adomian Decomposition
Method, with initial data from near the boundary behavior of a special or
general solution, although we focus on normalizable modes and Dirichlet
boundary condition, to get perturbative series solutions (of the equation valid
in probe approximation) for three special modes of m^2=4, 0, -9/4. Meantime, we
remind that for the skew-whiffed M2-branes background, there are Higgs-like
(pseudo)scalars that make the equation homogeneous and provide spontaneous
symmetry breaking. Then, with the setups and solutions in the bulk, where all
supersymmetries and parity are broken, we swap the three fundamental
representations of SO(8) for gravitino, deform the ABJM-like three-dimensional
boundary actions with various corresponding SU(4) x U(1)-singlet operators made
of fermions, scalars and SU(N) gauge fields, find new SO(4)-invariant
instantons, and finally adjust the bulk and boundary solutions and confirm
state-operator AdS_4/CFT_3 correspondence.
