Existence of polynomial solutions of degree 4 of the Monge-Ampère equation. Large deflections of thin plates
Existence of polynomial solutions of degree 4 of the Monge-Ampère equation. Large deflections of thin plates
We provide necessary and sufficient conditions for the solvability of a simplest Monge-Ampère equation, assuming that both the right-hand side and the solution are polynomials of degree 4. We give a constructive method of solution of the basic system of algebraic equations corresponding to the Monge-Ampère operator under the above …