MULTIPLE SOLUTIONS FOR ASYMPTOTICALLY LINEAR ELLIPTIC EQUATIONS INVOLVING NATURAL GROWTH TERM

作者：Zhang Yimin^*; Shen Yaotian

来源：Acta Mathematica Scientia, 2011, 31(3): 909-924.

DOI：10.1016/S0252-9602(11)60285-3

• critical group
• weak slope
• singular homology group
• non-smooth Morse theory

In this article, under some conditions on the behaviors of the perturbed function f(x, s) or its primitive F(x, s) = integral(s)(0) f (x, t)dt near infinity and near zero, a class of asymptotically linear elliptic equations involving natural growth term is studied. By computing the critical group, the existence of three nontrivial solutions is proved.

• 出版日期2011-5
• 单位华南理工大学; 中国科学院武汉物理与数学研究所