Help Illegal operation: pow_p( {convex}, {-1} )

2

The argument of inv_pos must be concave or affine. Youra is not.

help inv_pos

inv_pos Reciprocal of a positive quantity.
inv_pos(X) returns 1./X if X is positive, and +Inf otherwise.
X must be real.

 For matrices and N-D arrays, the function is applied to each element.

  Disciplined convex programming information:
      inv_pos is convex and nonincreasing; therefore, when used in CVX
      specifications, its argument must be concave (or affine).

I don’t know whether your problem can be reformulated, because you don’t show how g1 and g2 are to be used. Perhaps l1 and l2 can be multiplied out to be in the numerator of an inequality? Perhaps not.