A notable advance in this field was a 1941 paper by the American mathematician Jesse Douglas, in which he provided necessary and sufficient conditions for the problem to have a solution; these conditions are now known as the Helmholtz conditions, after the German physicist Hermann von Helmholtz.
Popular Mechanics | quantum mechanics | classical mechanics | mechanics | Quantum mechanics | Mike + The Mechanics | Mechanics' Institutes | Year 2000 problem | Waring's problem | The Final Problem | statistical mechanics | Multiplicative inverse | Mike + the Mechanics | inverse-square law | Hamiltonian (quantum mechanics) | Hamiltonian mechanics | The Problem with Popplers | Navy Petty-Officers School of Mechanics | Mechanics | Lagrangian point | Journal of Fluid Mechanics | Hume and the Problem of Causation | Dirichlet problem | Boolean satisfiability problem | The Dog Problem | Tammes problem | Statistical mechanics | Species problem | Quantum Mechanics | Quantum inverse scattering method |