Special Session 28: Qualitative theory of nonlinear elliptic and parabolic equations

On the monotonicity of the period for some equations with a p-Laplace operator

Raul Manasevich
University of Chile
Chile
Co-Author(s):    
Abstract:
In this talk we provide some new results for the monotonicity of the period of some nonlinear differential equations which are connected with a minimization problem on the circle. The Euler-Lagrange equation for this problem turns out to be a nonlocal nonlinear differential equation containing the p-Laplace operator and we are looking for positive solutions on the circle. Under a suitable transformation this equation is transformed into one without local terms but with varying period