Multiple solutions for quasilinear Schrodinger equations involving critical exponent

作者：Wang Youjun^*; Zhang Yimin; Shen Yaotian

来源：Applied Mathematics and Computation, 2010, 216(3): 849-856.

DOI：10.1016/j.amc.2010.01.091

• Quasilinear Schrodinger equations
• Critical exponents
• Concentration-compactness

By using Lions' second concentration-compactness principle and concentration-compactness principle at infinity to prove that the (PS) condition holds locally and by minimax methods and the Krasnoselski genus theory, we establish the multiplicity of solutions for a class of quasilinear Schrodinger equations arising from physics.

• 出版日期2010-4-1
• 单位清华大学; 华南理工大学