一类拟线性椭圆方程的非平凡解

Nontrivial Solutions for a Class of Quasilinear Elliptic Equations

中文关键词:  环绕理论  Adams型不等式  次临界多项式增长  次临界指数增长

英文关键词:Linking theorem  Adams-type inequality  subcritical polynomial growth  subcritical exponential growth

中文摘要:

      运用环绕理论和对称型山路理论对一类具有次临界多项式增长和次临界指数增长的$p$-Laplacian方程建立一个非平凡解(无穷多个非平凡解)的存在性结果.

英文摘要:

      The main purpose of this paper is to establish the existence results of one nontrivial solution (infinitely many nontrivial solutions) for a class of $p$-Laplacian equation with subcritical polynomial growth and subcritical exponential growth by using a linking theorem and the symmetric mountain pass theorem.