Nontrivial Solutions for Asymmetric Kirchhoff Type Problems

We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth at +∞ and −∞ in ℝN(N=2,3). Namely, it is 4-linear at −∞ and 4-superlinear at +∞. However, it need not satisfy the Ambrosetti-Rabinowitz condition on the positive semiaxi...

Full description

Bibliographic Details
Main Authors: Ruichang Pei, Jihui Zhang
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/163645