On superlinear p(x)-Laplacian equations in RN
On superlinear p(x)-Laplacian equations in RN
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DOI：
10.1016/j.na.2010.06.033
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发表时间：
2010-10-15
影响因子：
1.4
通讯作者：
Liu, Shibo
中科院分区：
文献类型：
--
作者：
Alves, Claudianor O.;Liu, Shibo
我们考虑R-N中的p（x）-Laplacian方程。非线性是超线性的，但不满足Ambrosetti-Rabinowitz型条件。我们得到了方程的基态，改进了Fan [X.L. Fan，p（x）-Laplacian方程在R-N中的周期数据和非周期扰动，J. Math. Anal. 341（2008）103-119]。我们还建立了变指数空间的Bartsch-Wang型紧嵌入定理。然后，证明了奇非线性方程的多重性结果。(C)2010爱思唯尔有限公司保留所有权利。
We consider the p(x)-Laplacian equations in R-N. The nonlinearity is superlinear but does not satisfy the Ambrosetti-Rabinowitz type condition. We obtain ground states of the equations, improving a recent result of Fan [X.L. Fan, p(x)-Laplacian equations in R-N with periodic data and nonperiodic perturbations, J. Math. Anal. Appl. 341 (2008) 103-119]. We also establish a Bartsch-Wang type compact embedding theorem for variable exponent spaces. Then, a multiplicity result for the equations is proved for odd nonlinearity. (C) 2010 Elsevier Ltd. All rights reserved.