Abstract
We consider a class of particular Kirchhoff type problems with a right-hand side nonlinearity which exhibits an asymmetric growth at and in . Namely, it is 4-linear at and 4-superlinear at . However, it need not satisfy the Ambrosetti-Rabinowitz condition on the positive semiaxis. Some existence results for nontrivial solution are established by combining Mountain Pass Theorem and a variant version of Mountain Pass Theorem with Moser-Trudinger inequality.
Citation
Ruichang Pei. Jihui Zhang. "Nontrivial Solutions for Asymmetric Kirchhoff Type Problems." Abstr. Appl. Anal. 2014 1 - 8, 2014. https://doi.org/10.1155/2014/163645