Positive solutions of Kirchhoff type elliptic equations in with critical growth

In this paper, we study the following Kirchhoff type elliptic problem with critical growth: where , and , and the nonlinear growth term reaches the Sobolev critical exponent since for four spatial dimensions. In a non‐radial symmetric function space, we establish a local compactness splitting lemma of critical version to investigate the existence of positive ground state solutions.