Existence of Classical Solutions for a Class of Several Types of Equations

Svetlin Georgiev, Gal Davidi


We study a class of Hamilton-Jacobi equations, a class of Broer-Kaup equations and a class of incompressible incompressible Navier-Stokes equations. A new topological approach is applied to prove the existence of at least one and at least two nonnegative classical solutions. The arguments
are based upon recent theoretical results.