RN 上一类带有凹凸项的p-Kirchhoff方程无穷多解的存在性
Infinitely Many Solutions for a Class ofp-Kirchhoff Equations with Concave-Convex Terms on RN
DOI: 10.12677/AAM.2024.136285, PDF,    科研立项经费支持
作者: 刘立华：盐城师范学院数学与统计学院，江苏 盐城
关键词: p-Kirchhoff方程；喷泉引理；对偶喷泉引理；无穷多解；p-Kirchhoff Equation； Fountain Theorem； Dual Fountain Theorem； Infinitely Many Solutions
摘要: 本文中，我们研究如下一类p-Kirchhoff椭圆方程解的存在性，其中是非负的权函数。 利用喷泉引理和对偶喷泉引理，我们得到了上述问题存在无穷多解。
Abstract: In this paper, we prove the multiplicity of solutions for the following p-Kirchhoff elliptic equation where are weight functions which may be unbounded or decaying to zero at infinity. By the methods of Fountain Theorem and Dual Fountain Theorem, we prove that above problem admits infinitely many solutions.
文章引用：刘立华. RN 上一类带有凹凸项的p-Kirchhoff方程无穷多解的存在性[J]. 应用数学进展, 2024, 13(6): 2984-2995. https://doi.org/10.12677/AAM.2024.136285

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