Normalized solutions for pseudo-relativistic schrodinger equations

In this paper, we consider the existence and multiplicity of normalized solutions to the following pseudo-relativistic Schr¨odinger equations where N ≥ 2; a; ϑ;m > 0; λ is a real Lagrange parameter, 2 < p < 2^# =^2N/_N-1 and 2^# is the critical Sobolev exponent. The operator -△ + m² is the fractional relativistic Schr¨odinger operator. Under appropriate assumptions, with the aid of truncation technique, concentration-compactness principle and genus theory, we show the existence and the multiplicity of normalized solutions for the above problem.