RN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 RN
摘要: 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。
Abstract: 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.
文章引用：杜桂香, 李静. RN上一类拟线性N-拉普拉斯方程的无穷解[J]. 应用数学进展, 2020, 9(3): 307-317. https://doi.org/10.12677/AAM.2020.93037

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