In this paper, we continue the mathematical study of adiabatic chemical reactions, started in a previous work (Ann. Henri Poincaré, 5: 477–521, 2004). We consider a molecule with one free atom, the latter having two distinct possible stable positions. We then look for a mountain pass point between these two local minima in the nonrelativistic Schrödinger framework. We prove the existence of a m...

this paper is concerned with a 2nth-order p-laplacian difference equation. by using the critical point method, we establish various sets of sufficient conditions for the nonexistence and existence of solutions for neumann boundary value problem and give some new results. results obtained successfully generalize and complement the existing ones.