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OALib Journal期刊
ISSN: 2333-9721
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非线性~$p(x)$-Kirchhoff~方程在动态边界条件下的非全局存在性~
Keywords: p(x)$-Kirchhoff~方程组,非全局存在性,非线性源项和外力项
Abstract:
考虑在动态边界条件下,非线性~$p$($x$)-Kirchhoff~方程组解的非全局存在性,该方程组带有非线性外力项~$Q$~和非线性源项$~f$.通过研究方程组解的自然能量,证明在初始能量小于一个临界值时,方程组解的非全局存在性.并将带有拟线性齐次~$p$-拉普拉斯算子的~$p$-Kirchhoff~方程组推广到~$p(x)$-Kirchhoff~方程组,该方程组近年被用来模拟很多现象.
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