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Multiplicity of nontrivial solutions for Kirchhoff type equations with zero mass and a critical term
Published date: 15 Oct 2022
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In this paper, a class of Kirchhoff type equations in () with zero mass and a critical term is studied. Under some appropriate conditions, the existence of multiple solutions is obtained by using variational methods and a variant of Symmetric Mountain Pass theorem. The Second Concentration Compactness lemma is used to overcome the lack of compactness in critical problem. Compared to the usual Kirchhoff-type problems, we only require the nonlinearity to satisfy the classical superquadratic condition (Ambrosetti-Rabinowitz condition).
Chongqing WEI , Anran LI . Multiplicity of nontrivial solutions for Kirchhoff type equations with zero mass and a critical term[J]. Frontiers of Mathematics in China, 2022 , 17(5) : 813 -828 . DOI: 10.1007/s11464-022-1028-8
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