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该文研究了以下高阶Yamabe型方程Lm,pu - g|u|p-2 u = λ f|u|α-2 u在有限图上的非平凡正解的存在性,其中Lm,p是一个2m阶差分算子,它是一种p次(-Δ)m算子更一般化,α≥p≥2,g>0和f >0是定义在G的所有顶点上的实函数,m≥1是一个整数. 相似文献
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刘春根 《数学物理学报(B辑英文版)》1996,(1)
TWO-DIMENSIONALSINGULARINTEGRALEQUATIONSOFTHEHYPERCOMPLEXFUNCTIONS(刘春根)¥LiuChangen(Dept.ofMathNankaiUniv.,Tianjin50071,China.... 相似文献
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本文通过Gelerkin逼近方法,在没有任何凸的条件下,研究了次二次Hamil-ton系统的k对偶Morse指标理论.作为应用,在本文研究了R2n中的凸超曲面上的闭特征的稳定性,证明了在一个较宽松的夹条件下,这类超曲面上至少有一条椭圆闭特征. 相似文献
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Photo-isomerization and anti-oxidation of carotenoids have been studied for many years be-cause of their diverse roles in photobiology, photochemistry and photomedicine[1—6]. The experi-mental works revealed that the changes in the geometry between S0 (the ground state) and T1 (the first triplet state) states are very important for the two processes. Meanwhile, theoretical studies have also been carried out to investigate these processes. The polyenes have usually been used as the models for… 相似文献
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In this article, we study the existence of nontrivial solutions for a class of asymptotically linear Hamiltonian systems with Lagrangian boundary conditions by the Galerkin approximation methods and the L-index theory developed by the first author. 相似文献
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Some theorems are obtained for the existence of nontrivial solutions of Hamiltonian systems with Lagrangian boundary conditions by the minimax methods. 相似文献
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本文应用凸锥上的一个不动点定理,讨论了一类含p-Laplacian算子的三阶非齐次边值问题多重正解的存在性,得到了这类边值问题至少存在三个正解的充分条件,并给出了一个实例. 相似文献
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应用凸锥上的一个不动点定理,讨论了一类一维p-拉普拉斯四点边值问题在非线性项f依赖于未知函数的一阶导数的情况下拟对称正解的多重性,得到了这类边值问题存在多个拟对称正解的充分条件. 相似文献