OAI/Analysis/LiebThirring/ExtremizerMass.lean
3 declarations, 0 contain sorry, 0 declared as axioms
- lemma
OAI.SharpLiebThirring.ExtremizerProof.potential_power_integralline 12Source documentation
Exact substitution
z = tanh (r*x); no integrability convention is used to guess the integral, since the Jacobian theorem applies to the full line.lemma potential_power_integral {r σ : ℝ} (hr : 0 < r) : (∫ x, (potential r x)^(1+σ)) = (r+1)^(1+σ)/r * betaAction σ := by … - lemma
OAI.SharpLiebThirring.ExtremizerProof.young_times_extremizer_factorline 56 - lemma
OAI.SharpLiebThirring.ExtremizerProof.sharp_times_extremizer_integralline 66