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Abstract Let Ω be a bounded domain in with smooth boundary, and let 1; 2; · · ·, m be points in Ω. We are concerned with the singular stationary non-homogenous q-Kuramoto-Sivashinsky eaquation (q-KSE: where we use some nonlinear domain decomposition method to give a suficient condition to have a positive weak solution u in Ω under the physical Dirichlet-like boundary conditions , which is singular at each i as the parameters λ, ϒ and ρ tend to 0 and where q ∈ [1, 4] is a real number.

Singular Limits for 4-Dimensional General Stationary Q-Kuramoto-Sivashinsky Equation (Q-Kse) with Exponential Nonlinearity