含非对称临界非线性项的p-Laplace方程的多解问题

On Multiple Solutions of p-Laplacian Equation with Non-Symmetric Critical Nonlinearity

本文考虑含非奇对称临界非线性项的p-Laplace方程Dirichlet问题。运用改进的集中列紧原理证明了在某些指数条件下非奇对称的临界非线性项仍能保证无穷多弱解的存在性。

In this paper, a class of Dirichlet boundary problem of p-Laplacian operators is studied. The problem involves non-odd symmetric critical nonlinearity. Existence of infinitely many solutions of this problem is obtained with improved Compactness- Concentration principle.