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We prove that the generalized pseudorelativistic equation $$ \left( -c^2\Delta + m^{2} c^{\frac{2}{1-s}} \right)^{s} u - m^{2s} c^{\frac{2s}{1-s}} u+\mu u = |u|^{p-1} u $$ can be solved for large values of the "light speed" $c$even when $p$ crosses the critical value for the fractional Sobolev embedding.

On a generalized pseudorelativistic Schr\"odinger equation with supercritical growth