R^N上带权函数的超线性p-Laplace方程的无穷多解

Infinitely Many Solutions for a Class of Superlinear p-Laplace Equations with Weights on R^N

在无界区域RN上考虑了一类带权函数的超线性p-Laplace方程,这里的非线性项是奇的.在比广义单调性更弱的条件下,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.

A class of superlinear p-Laplace equations with weights on unbounded domain RN was considered,where the nonlinearity is o dd.In the condition weaker than the generalized monotonicity condition,the exist ence of infinitely many solutions was obtained through the Fountain theorem with Cerami condition.Some known results were generailized.