中文摘要：

在无界区域Rn上考虑了一类带权函数的超线性p-Laplace方程,其中非线性项是奇的.在比单调性较弱的条件下,通过利用带Cerami条件的喷泉定理得到了该问题的无穷多解的存在性,推广了一些已知结果.

英文摘要：

A class of superlinear p-Laplace equation with weights on unbounded domain Rn is considered,where the nonlinearity is odd.In the condition weaker than the monotonicity condition,the existence of infinitely many solutions is obtained through the fountain theorem with Cerami condition.Some known results are generalized.