Non-even least energy solutions of the Emden-Fowler equation
Non-even least energy solutions of the Emden-Fowler equation
In this paper, we study the Emden-Fowler equation whose coefficient is even in the interval $(-1,1)$ under the Dirichlet boundary condition. We prove that if the density of the coefficient function is thin in the interior of $(-1,1)$ and thick on the boundary, then a least energy solution is not …