共查询到20条相似文献,搜索用时 15 毫秒
1.
系数变号时经典Emden方程的两点边值问题的正解 总被引:3,自引:0,他引:3
姚庆六 《应用泛函分析学报》2001,3(2):107-111
建立了边值问题w″ k(t)w^α=0,w(0)=w(1)=0的一个正解存在定理,其中允许k(t)的[0,1]上改变符号。 相似文献
2.
3.
This paper deals with a class of porous medium equation
with homogeneous Dirichlet boundary conditions. The blow-up criteria is established by using the method of energy under the suitable condition on the function f(u). 相似文献
ut = Δum + f(u)
4.
Gabriele Bonanno 《Journal of Mathematical Analysis and Applications》2004,299(2):600-614
In this paper multiple critical points theorems, where the Palais-Smale condition on the functional is not requested, are presented. As an application, multiple solutions for a quasilinear two point boundary value problem involving the one-dimensional p-Laplacian are obtained. 相似文献
5.
By using fixed point theorem, we study the following equation g(u′′(t))+a(t)f(u)=0 subject to boundary conditions, where g(v)=|v|p−2v with p>1; the existence of at least three positive solutions is proved. 相似文献
6.
Ahmed Mohammed 《Journal of Mathematical Analysis and Applications》2009,352(1):234-140
For a given bounded domain Ω in Rn with C1,? boundary for some 0<?<1, and a possibly singular nonlinearity f on Ω×(0,∞), we give sufficient conditions on f so that the p-Laplace equation −Δpu=f(x,u) admits a solution . On the basis of a comparison principle we will give a sufficient condition under which such a problem admits a unique solution. 相似文献
7.
In this paper, the authors study the equation ut=div(|Du|p−2Du)+|u|q−1u−λl|Du| in RN with p>2. We first prove that for 1?l?p−1, the solution exists at least for a short time; then for , the existence and nonexistence of global (in time) solutions are studied in various situations. 相似文献
8.
Qiu Yi DAI Li Hui PENG 《数学学报(英文版)》2006,22(2):485-496
Let Ω be a bounded or unbounded domain in R^n. The initial-boundary value problem for the porous medium and plasma equation with singular terms is considered in this paper. Criteria for the appearance of quenching phenomenon and the existence of global classical solution to the above problem are established. Also, the life span of the quenching solution is estimated or evaluated for some domains. 相似文献
9.
Ahmed Mohammed 《Journal of Mathematical Analysis and Applications》2007,325(1):480-489
We prove boundary asymptotics to solutions of weighted p-Laplacian equations that take infinite value on the boundary of a bounded domain. Uniqueness of such solutions would then follow as a consequence. Our results extend previously known results by allowing weights that are unbounded in the domain. 相似文献
10.
In the paper, we obtain the existence of positive solutions and establish a corresponding iterative scheme for the following third-order generalized right-focal boundary value problem with p-Laplacian operator:
11.
We study the vector p-Laplacian
We prove that there exists a sequence (u
n
) of solutions of (*) such that u
n
is a critical point of ϕ and another sequence (u
n
*
) of solutions of (*) such that u
n
*
is a local minimum point of ϕ, where ϕ is a functional defined below.
The research is supported by NNSF of China (10301033). 相似文献
12.
We prove the Strong Maximum Principle (SMP) under suitable assumptions for a class of quasilinear parabolic problems with the p -Laplacian, p>1, on bounded cylindrical domains of RN+1, with nonnegative initial–boundary conditions and λ≤0, and we give some counterexamples to the SMP if some of our assumptions are violated. We show that the Hopf Maximum Principle holds for 1<p<2, and give a counterexample to it for p>2. Also the Weak Maximum Principle for λ≤λ1 is established. 相似文献
∂tu−Δpu−λ|u|p−2u≥0,
13.
Using the critical point theory in combination with periodic approximations, we establish sufficient conditions on the existence of homoclinic solutions for higher-order periodic difference equations with p-Laplacian. Our results provide rather weaker conditions to guarantee the existence of homoclinic solutions and considerably improve some existing ones even for some special cases. 相似文献
14.
We consider the porous medium equation on manifolds with conical singularities and show existence, uniqueness, and maximal Lp-regularity of a short-time solution. In particular, we obtain information on the short time asymptotics of the solution near the conical point. Our method is based on bounded imaginary powers results for cone differential operators on Mellin–Sobolev spaces and R-sectoriality perturbation techniques. 相似文献
15.
In this paper, nonlinear two point boundary value problems with p-Laplacian operators subject to Dirichlet boundary condition and nonlinear boundary conditions are studied. We show the existence of three positive solutions by the five functionals fixed point theorem. 相似文献
16.
In this paper, we afford some sufficient conditions to guarantee the existence of multiple positive solutions for the nonlinear m-point boundary value problem for the one-dimensional p-Laplacian
17.
In this paper, the authors study the existence of periodic solutions to a p-Laplacian Rayleigh differential equation with a delay as follows:
(φp(y′(t)))′+f(y′(t))+g(y(t−τ(t)))=e(t), 相似文献
18.
The authors study the existence of solution to p-Laplacian equation with nonlinear forcing term under optimal assumptions on the initial data, which are assumed to be measures. The existence of local solution is obtained. 相似文献
19.
In this paper we consider a p-Laplacian equation with the homogeneous Dirichlet boundary condition. We establish a blow-up result for certain solution
with positive initial energy.
This work was supported by the National Natural Science Foundation of China 10771032, and the Natural Science Foundation of
Jiangsu province BK2006088. 相似文献
20.
In this paper, the authors discuss the global existence and blow-up of the solution to an evolution p-Laplace system with nonlinear sources and nonlinear boundary condition. The authors first establish the local existence of solutions, then give a necessary and sufficient condition on the global existence of the positive solution. 相似文献