The Existence Result for a Class of p-Kirchhoff-Type Problem with a Multilinear Growth Nonlinearity
Keyword(s):
In this paper, we firstly discuss the existence of the least energy sign-changing solutions for a class of p-Kirchhoff-type problems with a (2p-1)-linear growth nonlinearity. The quantitative deformation lemma and Non-Nehari manifold method are used in the paper to prove the main results. Remarkably, we use a new method to verify that Mb≠∅. The main results of our paper are the existence of the least energy sign-changing solution and its corresponding energy doubling property. Moreover, we also give the convergence property of the least energy sign-changing solution as the parameter b↘0.
Keyword(s):
2006 ◽
Vol 317
(2)
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pp. 456-463
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