On a superlinear elliptic p-Laplacian equation
On a superlinear elliptic p-Laplacian equation
复制标题
DOI：
10.1016/j.jde.2003.08.001
复制
发表时间：
2004-03
影响因子：
2.4
通讯作者：
T. Bartsch;Zhaoli Liu
中科院分区：
文献类型：
--
作者：
T. Bartsch;Zhaoli Liu
本文证明了p-Laplacian方程[式：见正文]在有界区域Ω <$RN上的四个解的存在性，条件是非线性项f是超线性和次临界的，且方程有一对上下解.除了正解和负解的存在性外，还证明了变号解的存在性。给出了一种新的方法来获得p-Laplacian方程解的存在性和节点性质。
We prove the existence of four solutions for the p-Laplacian equation [Formula: see text] on a bounded domain Ω⊂ RNwith smooth boundary ∂Ω provided that the nonlinearity f is superlinear and subcritical and that the equation has a pair of subsolution and supersolution. In addition to the existence of a positive and a negative solution, the existence of a sign changing solution is proved. We present a new approach to obtain existence and nodal properties of solutions of p-Laplacian equations.