s1=0.3;
s2=0.3;
m1 = 0;
m2 = 0;
rho=0.5;
c={{s1^2,rho s1 s2},{rho s1 s2,s2^2}}
dist = LogMultinormalDistribution[{m1, m2},   c];
Plot3D[Evaluate@{PDF[dist,{x,y}]},{x,0,3},{y,0,3},PlotRange->All]
PDF[dist, {x, y}]