On ground states of superlinear p-Laplacian equations in RN
On ground states of superlinear p-Laplacian equations in RN
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DOI：
10.1016/j.jmaa.2009.09.016
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发表时间：
2010-01-01
影响因子：
1.3
通讯作者：
Liu, Shibo
中科院分区：
文献类型：
--
作者：
Liu, Shibo
我们考虑RN中具有周期势或有界势阱的超线性p-拉普拉斯方程。在不假设Ambrosetti-Rabinowitz型条件和函数t bar右箭头f（x, t）竖条t竖条（p-1）单调性的情况下，证明了基态的存在性。即使在p = 2的情况下，我们的结果也扩展了Li， Wang和Zeng [Ann]最近的结果。庞加莱研究所。非线性23(2006)829-837]。(C) 2009爱思唯尔公司版权所有。
We consider superlinear p-Laplacian equations in RN with a potential which is periodic or has a bounded potential well. Without assuming the Ambrosetti-Rabinowitz type condition and the monotonicity of the function t bar right arrow f(x, t)vertical bar t vertical bar(p-1), we prove the existence of ground states. Even for the case p = 2, our results extend the recent results of Li, Wang and Zeng [ Ann. Inst. H. Poincare Anal. Non Lineaire 23 ( 2006) 829-837]. (C) 2009 Elsevier Inc. All rights reserved.