Two Nontrivial Solutions for the Nonhomogenous Fourth Order Kirchhoff Equation
Ling Ding
Hubei University of Arts and Science, ChinaLin Li
Chongqing Technology and Business University, China
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Abstract
In this paper, we consider the following nonhomogenous fourth order Kirchhoff equation
where , constants , , , and . Under more relaxed assumptions on the nonlinear term that are much weaker than those in L. Xu and H. Chen, using some new proof techniques especially the verification of the boundedness of Palais–Smale sequence, a new result is obtained.
Cite this article
Ling Ding, Lin Li, Two Nontrivial Solutions for the Nonhomogenous Fourth Order Kirchhoff Equation. Z. Anal. Anwend. 36 (2017), no. 2, pp. 191–207
DOI 10.4171/ZAA/1585