文献类型：期刊文献

英文题名：GROUND STATE SOLUTIONS FOR QUASILINEAR SCHRODINGER EQUATIONS WITH PERIODIC POTENTIAL

作者：Zhang, Jing[1];Ji, Chao[2]

机构：[1]Inner Mongolia Normal Univ, Math Sci Coll, Hohhot 010022, Peoples R China;[2]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2020

外文期刊名：ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000554925400001)】；

基金：J. Zhang was supported by the Natural Science Foundation of Inner Mongolia Autonomous Region (No. 2019MS01004), by the Inner Mongolia Autonomous Region university scientific research project (No. NJZY18021), and by the National Natural Science Foundation of China (No. 11962025). C. Ji was partially supported by the Shanghai Natural Science Foundation(18ZR1409100).

语种：英文

外文关键词：Quasilinear Schrodinger equation; Nehari manifold; ground state

摘要：This article concerns the quasilinear Schrodinger equation -Delta u - u Delta(u(2)) + V(x)u = K(x)vertical bar u vertical bar(2.2)*(-2)u + g(x, u), x is an element of R-N, u is an element of H-1 (R-N), u > 0, where V and K are positive, continuous and periodic functions, g (x, u) is periodic in x and has subcritical growth. We use the generalized Nehari manifold approach developed by Szulkin and Weth to study the ground state solution, i.e. the nontrivial solution with least possible energy.