R^N上一类拟线性N-拉普拉斯方程的无穷解

Infinitely Many Solutions to a Class of Quasilinear N-Laplacian Equations in R^N

本文主要研究RN上一类拟线性N-拉普拉斯方程,在非线性项为临界指数增长的情况下,借助对称山路引理以及变分法得出多解的存在性。

Under the assumption of the nonlinearity with critical exponential growth, we consider the exist-ence of solutions to a class of quasilinear N-Laplacian equations in RN. By symmetric mountain pass lemma and variational argument, the existence of solutions is established.