Ground state solution for a periodic p&q‐Laplacian equation involving critical growth without the Ambrosetti–Rabinowitz condition

Abstract

We study the ground state solutions for the following p&q‐Laplacian equation where is a parameter large enough, with denotes the ‐Laplacian operator, and . Under some assumptions for the periodic potential , weight function and nonlinearity without the Ambrosetti–Rabinowitz condition, we show the above equation has a ground state solution.