Nodal solutions for fractional elliptic equations involving exponential critical growth

Abstract

In the present paper, we study the existence of least energy nodal solution for a Dirichlet problem driven by the Laplacian operator of the following type: where is a continuous potential and is a nonlinearity that grows like as . By using the constraint variational method and quantitative deformation lemma, we obtain a least energy nodal solution for the given problem. Moreover, we show that the energy of is strictly larger than twice the ground state energy.