含Φ-Laplace算子的拟线性椭圆型方程的无穷多解
Infinitely Many Solutions for Quasilinear Elliptic Equations with Φ-Laplacian Operator
摘要:
本文利用喷泉定理讨论了一类具有Φ-Laplacian算子的拟线性椭圆型方程Dirichlet问题，在非线性项不满足(AR)条件的情况下，得到无穷多解的存在性。
Abstract:
By using fountain theorem, we studied a class of the Dirichlet boundary value problems of quasilinear elliptic equation with Φ-Laplacian operator. Without the Ambrosetti-Rabinowitz con-dition, we obtained infinitely many weak solutions.
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