Existence of a nodal solution with minimal energy for a Kirchhoff equation
Giovany Malcher Figueiredo, Rúbia G. Nascimento · Mathematische Nachrichten · 2014
We show the existence of a nodal solution (sign-changing solution) for a Kirchhoff equation of the type where Ω is a bounded domain in , M is a general C1 class function and f is a superlinear C1 class function with subcritical growth. The proof is based on a minimization argument and a quantitative deformation lemma.