共查询到20条相似文献,搜索用时 453 毫秒
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刘玉记 《数学年刊A辑(中文版)》2014,35(6):757
运用不动点定理和单调迭代方法研究半直线上Riemann-Liouville型奇异分数阶微分方程边值问题的正解的存在性.在没有上、下解存在的假设下建立了边值问题存在两个正解的结果,构造了逼近正解的迭代格式,该迭代格式便于应用. 相似文献
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一类非线性椭圆方程解的存在性 总被引:2,自引:0,他引:2
本文讨论了一类无界域上半线性椭圆方程正解的存在性,通过对一类带权索伯列夫空间的深入研究并利用集中紧性的技巧,克服了失去紧性的困难,因此得到了正解的存在性. 相似文献
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该文利用锥不动点定理讨论了奇异半正二阶脉冲Dirichlet边值问题正解的存在性. 相似文献
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研究下列半正Right F0cal边值问题单调正解的存在性其中λ>0是一个参数,n≥3,1相似文献
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本文建立了平面上一类半线性双调和方程正整解的存在性定理 ,并给出了解的有关性质 ,丰富和发展了文 [1 ]的结果 相似文献
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本文利用不同的函数变换及Banach空间压缩影象原理,证明了Rm中半线性椭园方程△u+K(|x|)up=0无限多个奇解的存在性,并且具有渐进性广rn-2u(r)→c>0(r→∞). 相似文献
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Wen-junSun 《应用数学学报(英文版)》2003,19(1):143-156
This paper deals with the existence and nonexistence of global positive solution to a semilinear reaction-diffusion system with nonlinear boundary conditions.For the heat diffusion case,the necessary and sufficient conditions on the global existence of all positive solutions are obtained.For the general fast diffusion case,we get some conditions on the global existence and nonexistence of positive solutions.The results of this paper fill the some gaps which were left in this field. 相似文献
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抽象半线性发展方程的正解及应用 总被引:12,自引:1,他引:12
本文讨论了有序Banach空间中的正算子半群的特征,把通常常微分方程及偏微分方程的上、下解方法引入到有序Banach空间中的半线性发展方程,获得了整体解与正解的存在性. 相似文献
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Jianqing Chen 《Journal of Mathematical Analysis and Applications》2005,305(1):140-157
Variational methods are used to prove the existence of multiple positive solutions for a semilinear equation with prescribed finitely many singular points. Some exact local behavior for positive solutions are also given. 相似文献
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In this paper, we consider the existence of multiple positive solutions for an inhomogeneous critical semilinear elliptic problem. We show that the problem possesses at least four positive solutions. 相似文献
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61. IntroductionConsider the semilinear elliptic problemwhere p E (1, ac) for N 2 3, and p E (l, co) for N = 1, 2, 0 S a(x) E C(R"), A > 0 is areal parameter.The existence and uniqueness of solution for such problems have been considered by mailyauthors recently (see [l--4] and references therein). In I3], T. Bartsch and Wang, Z. Q. provedthat with more genaral nolilineaxities (1.1) has at least one solution for A large under someconditions on a(x), one of which is that a--1 (0) has non… 相似文献
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A variational inequality index for γ-condensing maps is established in Hilbert spaces. New results on existence of nonzero positive solutions of variational inequalities for such maps are proved by using the theory of variational inequality index. Applications of such a theory are given to existence of nonzero positive weak solutions for semilinear second order elliptic inequalities, where previous results of variational inequalities for S-contractive maps cannot be applied. 相似文献
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Yao Qingliu 《Annals of Differential Equations》2006,22(1):87-94
By using Krasnosel'skii fixed point theorem of cone expansion-compression type, the results on the existence of one, two and three positive solutions are established for a semilinear second-order system of two-point boundary value problems. 相似文献