A New Approach for Euler-Lagrange Orbits on Compact Manifolds with Boundary
A New Approach for Euler-Lagrange Orbits on Compact Manifolds with Boundary
Consider a compact manifold with boundary, homeomorphic to the N-dimensional disk, and a Tonelli Lagrangian function defined on the tangent bundle. In this paper, we study the multiplicity problem for Euler-Lagrange orbits that satisfy the conormal boundary conditions and that lay on the boundary only in their extreme points. In …