首页> 中文期刊> 《吉林师范大学学报(自然科学版)》 >R^N上带权函数的超线性p-Laplace方程的无穷多解

R^N上带权函数的超线性p-Laplace方程的无穷多解

         

摘要

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.%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.

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