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1.
Existence of solution for a singular critical elliptic equation 总被引:1,自引:0,他引:1
In this paper, a singular semilinear elliptic problem involving the critical Sobolev exponent is studied by variational method, the existence of a solution is proved under certain conditions. The Hardy inequality is used and plays an important role in the discussion. 相似文献
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By using critical point theory, the existence of heteroclinic solutions for a second-order difference equation involving the mean curvature operator is obtained, and the values of solutions at and are more general than existing results in the literature. An example is presented to demonstrate the applicability of our main results. 相似文献
4.
Mohamed Ben Ayed 《Journal of Functional Analysis》2010,258(9):3165-3194
In this article we consider the following fourth order mean field equation on smooth domain Ω?R4:
5.
Omar K. Jaradat Ahmad Al-Omari Shaher Momani 《Nonlinear Analysis: Theory, Methods & Applications》2008
In this paper we will study the existence and uniqueness of mild solution for the semilinear initial value problem of non-integer order:
where, α∈(0,1] and f(t,u(t),Gu(t),Su(t)) is a given function. 相似文献
u(α)(t)=Au(t)+f(t,u(t),Gu(t),Su(t)),
6.
Ahmed Salem 《Journal of Applied Analysis & Computation》2020,10(6):2557-2574
Recently, Khalili and Yadollahzadeh [ Y. Khalili and M. Yadollahzadeh, Existence results for a new class of nonlinear Langevin equations of fractional orders, Iranian J. Sci. Tech., Trans. A: Sci., 2019, 43(5), 2335–2342] have investigated the uniqueness and existence of solution $u(t),~t\in[0,1]$ for a class of nonlocal boundary conditions to fractional Langevin equation. The authors used the boundary condition $u"(0)=0$ by incorrect method. In the current contribution, we show the correct method for using this condition and study the existence and uniqueness of solution for the same class of equation in slightly different form with anti-periodic and nonlocal integral boundary conditions as well as the boundary condition $u"(0)=0$. An exemplar is provided to illustrate our results. 相似文献
7.
Liming Gao 《Applied mathematics and computation》2010,216(5):1592-3956
Applying the critical point theorem, we establish existence and multiple solutions for a second-order difference boundary value problem and show the explicit intervals of λ such that the equation has at least 2N distinct solutions. 相似文献
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Zhou Wen-Shu 《Journal of Mathematical Analysis and Applications》2008,346(1):107-119
In this paper we study existence and multiplicity of weak solutions of the homogenous Dirichlet problem for a singular semilinear elliptic equation with a quadratic gradient term. The proofs for the main results are based on a priori estimates of solutions of approximate problems. 相似文献
10.
Chang-Shou Lin 《Journal of Differential Equations》2006,229(1):172-185
We consider on a two-dimensional flat torus T the following equation
11.
We consider the existence, both locally and globally in time, and the blow-up of solutions for the Cauchy problem of the generalized damped multidimensional Boussinesq equation. 相似文献
12.
In this article, we discuss the blow-up problem of entire solutions of a class of second-order quasilinear elliptic equation Δ p u ≡ div(|?u| p?2?u) = ρ(x)f(u), x ∈ R N . No monotonicity condition is assumed upon f(u). Our method used to get the existence of the solution is based on sub-and supersolutions techniques. 相似文献
13.
Marcello Lucia 《Calculus of Variations and Partial Differential Equations》2006,26(3):313-330
We consider the equation
If Ω is of class C
2, we show that this problem has a non-trivial solution u
λ for each λ ∊ (8 π, λ*). The value λ* depends on the domain and is bounded from below by 2 j
0
2 π, where j
0 is the first zero of the Bessel function of the first kind of order zero (λ*≥ 2 j
0
2 π > 8 π). Moreover, the family of solution u
λ blows-up as λ → 8 π. 相似文献
14.
We are interested in computing the nonnegative solution of a nonsymmetric algebraic Riccati equation arising in transport theory. The coefficient matrices of this equation have two parameters c and α. There have been some iterative methods presented by Lu in [13] and Bai et al. in [2] to solve the minimal positive solution for or . While the equation has a unique nonnegative solution when c=1 and α=0, all the methods presented by Lu and Bai cannot be used to find the nonnegative solution. To cope with this problem, a shifted technique is used in this paper to transform the original Riccati equation into a new one so that all the methods can be effectively employed to solve the nonnegative solution. Numerical experiments are given to illustrate the results. 相似文献
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广义Liénard方程非平凡周期解的存在性 总被引:2,自引:0,他引:2
本文讨论广义Linard方程x f(x)φ(x)x g(x)η(x)=0非平凡周期解的存在性,所获结果推广并改进了一些现有的关于Linard方程周期解的存在性定理。 相似文献
17.
Sandra Fital 《Journal of Mathematical Analysis and Applications》2006,318(2):648-657
We consider the initial value problem for a nonsymmetric matrix Riccati differential equation, where the four coefficient matrices form an M-matrix. We show that for a wide range of initial values the Riccati differential equation has a global solution X(t) on [0,∞) and X(t) converges to the stable equilibrium solution as t goes to infinity. 相似文献
18.
Gianni Gilardi 《Journal of Mathematical Analysis and Applications》2007,333(2):839-862
We consider a doubly nonlinear Volterra equation involving a nonsmooth kernel and two possibly degenerate monotone operators. By exploiting an implicit time-discretization procedure, we obtain the existence of a global strong solution and extend to the nonlocal in time situation some former results by Colli [P. Colli, On some doubly nonlinear evolution equations in Banach spaces, Japan J. Indust. Appl. Math. 9 (2) (1992) 181-203]. 相似文献
19.
临界非齐次双调和方程的多解存在性 总被引:5,自引:0,他引:5
该文讨论了下列边值问题Δ2 u =λu |u|p- 1u μf (x) ,x∈Ω ,μ >0 ;u| Ω =0 , u n Ω =0 .的多解存在性和非存在性 .其中 :Ω RN是有界光滑区域 ,N≥ 5,λ∈ R1,P =N 4N - 4,f(x)是Ω中的非负不恒为零的连续函数 ,Δ2 =ΔΔ表示 N维双调和算子 . 相似文献
20.
文中得到半线性椭圆型方程的爆破问题解的存在性,其中或者是Rn中的有界区域,C3,C4,C5,C6是正常数,并且C5,C3(0,1). 相似文献