| 带非奇扰动项的(2,p)-Laplace方程无穷多解的存在性 |
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| 引用本文： | 梁占平,解利霞,李福义.带非奇扰动项的(2,p)-Laplace方程无穷多解的存在性[J].中国科学:数学,2021(3):439-456. |
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| 作者姓名： | 梁占平 解利霞 李福义 |
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| 作者单位： | 山西大学数学科学学院 |
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| 基金项目： | 国家自然科学基金(批准号:11571209和11671239)资助项目。 |
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| 摘 要： | 本文研究带非奇扰动项的(2,p)-Laplace方程{u=0,-△u-△pu=a(x)|u|q-2u+f(x,u)x∈ЭΩ,x∈Ω,其中ΩСRN是有界光滑区域,1
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| 关 键 词： | (2 p)-Laplace方程 非奇扰动项 变分方法 无穷多解 |
Existence of infinitely many solutions to(2, p)-Laplacian equations with non-odd perturbation terms |
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| Zhanping Liang,Lixia Xie,Fuyi Li.Existence of infinitely many solutions to(2, p)-Laplacian equations with non-odd perturbation terms[J].Scientia Sinica Mathemation,2021(3):439-456. |
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| Authors: | Zhanping Liang Lixia Xie Fuyi Li |
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| Abstract: | In this paper, the(2, p)-Laplacian equations with non-odd perturbation terms {u=0,-△u-△pu=a(x)|u|q-2u+f(x,u)x∈ЭΩ,x∈Ω are considered, where ΩСRN is a smooth bounded domain, 1 < q < 2 < p < N, a ∈ C(Ω) is allowed to change sign, and f may not be odd in u. Using the variational method, we obtain the existence of infinitely many solutions to the above equations. |
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| Keywords: | (2 p)-Laplacian equations non-odd perturbation terms variational method infinitely many solutions |
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