Positive ground state solutions for asymptotically periodic generalized quasilinear Schrödinger equations

• DOI: 10.3934/math.2022061
• Publication Date: 2021-10-19T21:49:53Z
• Authors: Shulin Zhang
• Keywords: generalized quasilinear schrödinger equations; asymptotically periodic; positive ground state solution; QA1-939; nehari manifold method; 0101 mathematics; 01 natural sciences; Mathematics

<abstract><p>In this paper, we study the existence of a positive ground state solution for a class of generalized quasilinear Schrödinger equations with asymptotically periodic potential. By the variational method, a positive ground state solution is obtained. Compared with the existing results, our results improve and generalize some existing related results.</p></abstract>