共查询到20条相似文献,搜索用时 15 毫秒
1.
Qi Wang Dicheng Lu 《Annals of Differential Equations》2014,(4):432-437
In this paper, we study a nonlinear Dirichlet boundary value problem for difference equations involving the p-Laplacian with two positive parameters. One result on the existence of at least three solutions for this problem is obtained using critical point theory. 相似文献
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We study the existence of positive solutions to boundary value problems for one- dimensional p-Laplacian under some conditions about the first eigenvalues correspon- ding to the relevant operators by the fixed point theory. The main difficulties are the computation of fixed point index and the subadditivity for positively 1-homogeneous operator. 相似文献
4.
Bo Sun 《Annals of Differential Equations》2012,(3):327-331
In this paper,we apply a fixed point theorem to verify the existence of multiple positive solutions to a p-Laplacian boundary value problem.Sufficient conditions are established which guarantee the existence of multiple positive solutions to the problem. 相似文献
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In this paper,we consider a multi-point boundary value problem. We obtain suffcient conditions ensuring the existence of at least three positive solutions to the boundary value problem. 相似文献
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Lixin Zhang Bo Sun Chunfeng Xing .Dept.of Basic Courses Beijing Union University Beijing ;. 《Annals of Differential Equations》2012,(3):368-372
In this paper,we study the existence of solutions to a third-order three-point boundary value problem.By imposing certain restrictions on the nonlinear term,we prove the existence of at least one solution to the boundary value problem by the method of lower and upper solutions.We are interested in the construction of lower and upper solutions. 相似文献
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In the present paper, we consider the problem ■ where β1, β2 > 0 and β1 + β2 < 1, and ? is a convex domain in Rn. The existence, uniqueness,regularity and (2-β2)/(1-β1-β2)-concavity of the positive solutions of the problem(0.1) are proven. 相似文献
8.
Bo Sun Aijun Yang 《Annals of Differential Equations》2011,(2):201-206
We apply a fixed point theorem to verify the existence of at least three positive solutions to a multi-point boundary value problem with p-Laplacian. Existence criteria which ensure the existence of triple positive solutions are established. 相似文献
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《Annals of Differential Equations》2010,(4):484-493
In this paper, we consider a multipoint boundary value problem for one-dimensional p-Laplacian. Using a fixed point theorem due to Bai and Ge, we study the existence of at least three positive solutions to the boundary value problem. In this problem, the nonlinear term explicitly involves a first-order derivative, which is different from some previous ones. 相似文献
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《Annals of Differential Equations》2012,(2):153-156
In this paper, we are concerned with the existence of nontrivial solutions to a 2m-order nonlinear periodic boundary value problem. By the infinite dimensional Morse theory, under some conditions on nonlinear term, we obtain that there exist at least two nontrivial solutions. 相似文献
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《Annals of Differential Equations》2012,(2):146-152
In this paper, we are concerned with the existence and nonexistence of positive solutions to a three-point boundary value problems. By Krasnoselskii’s fixed point theorem in Banach space, we obtain sufficient conditions for the existence and non-existence of positive solutions to the above three-point boundary value problems. 相似文献
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In this paper, we study a singular third-order three-point boundary value problem. By using a fixed-point theorem of cone expansion-compression type, we establish results on the existence of at least one, at least two, and $n$ positive solutions to the boundary value problem. Finally we give an example. 相似文献
13.
Shujun Jiang 《Annals of Differential Equations》2013,(1):25-33
In this paper, we consider a second-order periodic boundary value problem. By the topological degree theory and fixed point index theory, we prove the existence of positive solutions which gives the relationship between the first positive eigenvalue of the associated eigenvalue problem and the behavior of the nonlinear term of the system. 相似文献
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Bo Sun Lixin Zhang 《Annals of Differential Equations》2011,(4):490-494
In this paper,we consider the existence of symmetric solutions to a nonlinear second order multi-point boundary value problem,and establish corresponding iterative schemes based on the monotone iterative method. 相似文献
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Dan Li Yansheng He Chengmin Hou 《Annals of Differential Equations》2014,(3):301-311
By establishing the corresponding variational framework, and using critical point theory, we give the existence of multiple solutions to a fractional difference boundary value problem with parameter. Under some suitable assumptions we obtain some results which ensure the existence of well precise interval of parameter for which the problem admits multiple solutions. 相似文献
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We consider the quantum Navier-Stokes equations for the viscous, compressible, heat conducting fluids on the three-dimensional torus T3. The model is based on a system which is derived by Jungel, Matthes and Milisic [15]. We made some adjustment about the relation of the viscosities of quantum terms. The viscosities and the heat conductivity coefficient are allowed to depend on the density, and may vanish on the vacuum. By several levels of approximation we prove the global-in-time existence of weak solutions for the large initial data. 相似文献
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In this paper,we are concerned with the existence of positive solutions to an m-point boundary value problem with p-Laplacian of nonlinear fractional differential equation.By means of Krasnosel'skii fixed-point theorem on a convex cone and Leggett-Williams fixed-point theorem,the existence results of solutions are obtained. 相似文献
18.
共振情况下m点p-Laplacian算子边值问题解的存在性 总被引:4,自引:0,他引:4
本文研究了在共振情况下m点P-Laplacian算子边值问题解的存在性问题.在非线性项f(t,u,v)有界的条件下,根据Mawhin的连续定理和m点P-Laplacian算子的边值问题的上下解理论,得出共振问题解的存在的结论. 相似文献
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In this paper, using the property of the corresponding Green’s function and fixed point index theory, some sufficient conditions for the multiplicity and nonexistence of positive solutions to a class of nonlinear fractional boundary value problem are obtained. Three examples are given to show the effectiveness of our results. 相似文献
20.
The existence and multiplicity of positive solutions to a periodic boundary value problem for nonlinear third-order ordinary differential equation are established, based on the zero point theorem concerning cone expansion and compression of order type. Our main approach is different from the previous papers on the existence of multiple positive solutions to the similar problem. 相似文献