Positive solutions of -Δu + (-Δ)^s u + u = u^p in R^n are C^{2,α}, radially symmetric, and satisfy C1/|x|^{n+2s} ≤ u ≤ C2/|x|^{n+2s}.
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Qualitative properties of positive solutions of a mixed order nonlinear Schr\"{o}dinger equation
Positive solutions of -Δu + (-Δ)^s u + u = u^p in R^n are C^{2,α}, radially symmetric, and satisfy C1/|x|^{n+2s} ≤ u ≤ C2/|x|^{n+2s}.