| 一类不满足(AR)条件的p-Laplace方程的无穷多解 |
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| 引用本文： | 陈丽娟. 一类不满足(AR)条件的p-Laplace方程的无穷多解[J]. 数学的实践与认识, 2021, 0(2): 308-315 |
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| 作者姓名： | 陈丽娟 |
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| 作者单位： | 盐城工学院数理学院;河海大学理学院 |
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| 基金项目： | 江苏省高等学校自然科学研究项目(18KJB110030)。 |
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| 摘 要： | 利用变分方法,得到以下p-Laplace方程-△pu+V(x)|u|p-2u = f(x,u),x ∈RN,(1)有无穷多高能量.其中1＜p＜N,势函数V(x)是RN上无界函数,非线性项f(x,u)不满足(AR)条件.
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| 关 键 词： | 对称山路引理 p-Laplace方程 无穷多解 (AR)条件 |
Infinitely Many Solutions to a Class of p-Laplace Equation Without the Ambrosetti-Rabinowitz Condition |
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| CHEN Li-juan. Infinitely Many Solutions to a Class of p-Laplace Equation Without the Ambrosetti-Rabinowitz Condition[J]. Mathematics in Practice and Theory, 2021, 0(2): 308-315 |
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| Authors: | CHEN Li-juan |
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| Affiliation: | (School of Mathematical Science,Yancheng Institute of Technology,Yancheng 224000,China;School of Mathematical Science,Hohai University,Nanjing 211100,China) |
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| Abstract: | Using variational methods we prove the existence of infinitely many solutions to a class of p-Laplace equation:-Δpu+V(x)|u|p-2u=f(x,u),x∈RN,where 10.The nonlinearity f(x,u)doesn’t satisfy the(AR)condition. |
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| Keywords: | Symmetric mountain pass lemma p-Laplace equation infinitely many solution the Ambrosetti-Rabinowitz Condition |
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