On bounded entire solutions of some quasilinear elliptic equations

In this paper we prove the existence of infinitely many bounded entire solutions, ground state entire solutions and entire solutions with prescribed limit at infinity to PDEs involving the ϕ-Laplace operator in the setting of Orlicz-Sobolev spaces. The main tools used are the sub-solution and super-solution technique in conjunction with the Schauder-Tychonoff fixed point theorem.