Infinitely many solutions for polyharmonic equations of p(x)-Laplace type |
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| Authors: | Jung-Hyun Bae Jae-Myoung Kim |
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| Affiliation: | 1. Department of Mathematics, Sungkyunkwan University, Suwon, 16419 Republic of Korea;2. Department of Mathematics Education, Andong National University, Andong, 36729 Republic of Korea |
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| Abstract: | We show the existence of infinitely many weak solutions to a class of quasilinear elliptic p(x)-polyharmonic Kirchhoff equations via the mountain pass principle without the (AR) condition. Furthermore, we obtain infinitely many solutions to this equation based on the genus theory, introduced by Krasnoselskii and the abstract critical point theorem (a variant of Ljusternik-Schnirelman theory) under Cerami condition. |
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| Keywords: | abstract critical point theory genus theorem mountain pass theorem p(x)-Laplace type |
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