Sign-changing solutions for a weighted Kirchhoff problem with exponential growth non-linearity
Brahim Dridi, Abir Amor Ben Ali, Rached Jaidane · Complex Variables and Elliptic Equations · 2024
In this work, we establish the existence of solutions that change sign at low energy for a non-local weighted Kirchhoff problem in the set RN,N>2. The non-linearity of the equation is assumed to have exponential growth in view of the logarithmic weighted Trudinger–Moser inequalities. To obtain the existence result, we apply the constrained minimization in the Nehari set, the quantitative deformation lemma and results from degree theory.