What is the effective 2-form corresponding to the equation
$det Hess v=(v-q_1v_{q_1}-q_2v_{q_2})^4$
you can find the definition of effective forms here
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Sign up to join this communityWhat is the effective 2-form corresponding to the equation
$det Hess v=(v-q_1v_{q_1}-q_2v_{q_2})^4$
you can find the definition of effective forms here
Unless I'm mistaken, all the second derivatives of $v$ are isolated in the Hessian on the left-hand side. The notes you linked to already give the effective form that generates the Hessian. To get the effective form on for the right-hand side, simply multiply by $dq_1 \wedge dq_2$. So, I believe, the effective form you are looking for is $$ dp_1 \wedge dp_2 - (v-q_1 p_1-q_2 p_2)^4 dq_1\wedge dq_2 . $$