Multiple sign‐changing solutions for a class of quasilinear elliptic equations |
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| Authors: | Xiumei He Xian Wu |
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| Affiliation: | 1. Department of Mathematics, Kunming University, Kunming, Yunnan, China;2. Department of Mathematics, Yunnan Normal University, Kunming, Yunnan, China |
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| Abstract: | In this paper, we study the following quasilinear Schrödinger equations: ![]() where Ω is a bounded smooth domain of  ,  . Under some suitable conditions, we prove that this equation has three solutions of mountain pass type: one positive, one negative, and sign‐changing. Furthermore, if g is odd with respect to its second variable, this problem has infinitely many sign‐changing solutions. Copyright © 2016 John Wiley & Sons, Ltd. |
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| Keywords: | quasilinear elliptic equations critical point theorem sign‐changing solutions |
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. Under some suitable conditions, we prove that this equation has three solutions of mountain pass type: one positive, one negative, and sign‐changing. Furthermore, if g is odd with respect to its second variable, this problem has infinitely many sign‐changing solutions. Copyright © 2016 John Wiley & Sons, Ltd.