A remark on the existence of positive entire solutions of a sublinear elliptic problem

作者：Zhang Zhijun^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2007, 67(1): 147-153.

DOI：10.1016/j.na.2006.05.004

• semilinear elliptic equations
• entire solutions
• existence

By means of a sub-supersolutions argument and a perturbed argument, we show the existence of entire solutions to a semilinear elliptic problem -Delta u = b(x)g(u), u > 0, x is an element of R-N, lim(\x\ -> infinity) u(x) = 0, where b is an element of C-loc(alpha)(R-N) for some alpha is an element of (0, 1) and b(x) > 0, for all x is an element of R-N, g is an element of C-1((0, infinity), (0, infinity)) which may be to singular at 0. No monotonicity condition is imposed on the functions g(s) and g(s)/s.

• 出版日期2007-7-1
• 单位烟台大学