SOLUTIONS FOR QUASILINEAR SCHRODINGER EQUATIONS WITH CRITICAL SOBOLEV-HARDY EXPONENTS

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

来源：Communications on Pure and Applied Analysis, 2011, 10(4): 1037-1054.

DOI：10.3934/cpaa.2011.10.1037

• Critical Sobolev-Hardy exponents
• quasilinear Schrodinger equations
• Orlicz space

By using a change of variable, the quasilinear Schrodinger equation is reduced to semilinear elliptic equation. Then, Mountain Pass theorem without (PS) condition in a suitable Orlicz space is employed to prove the existence of positive standing wave solutions for a class of quasilinear Schrodinger equations involving critical Sobolev-Hardy exponents.

• 出版日期2011-7
• 单位清华大学; 华南理工大学; 中国科学院武汉物理与数学研究所