共查询到20条相似文献,搜索用时 46 毫秒
1.
Songzhe Lian Chunling Cao Hongjun Yuan 《Journal of Mathematical Analysis and Applications》2008,342(1):27-38
The authors of this paper study the Dirichlet problem of the following equation
ut−div(|u|ν(x,t)∇u)=f−|u|p(x,t)−1u. 相似文献
2.
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
3.
In this paper, we investigate the behavior of the positive solution of the following Cauchy problem
ut−div(|∇um|p−2∇um)=uq 相似文献
4.
In this paper, one-dimensional (1D) nonlinear Schrödinger equation
iut−uxx+mu+4|u|u=0 相似文献
5.
Bo Liang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(11):3815-3828
The paper first study the steady-state thin film type equation
∇⋅(un|∇Δu|q−2∇Δu)−δumΔu=f(x,u) 相似文献
6.
Jaime Angulo Pava 《Journal of Differential Equations》2007,235(1):1-30
This work is concerned with stability properties of periodic traveling waves solutions of the focusing Schrödinger equation
iut+uxx+2|u|u=0 相似文献
7.
Volker Ziegler 《Journal of Number Theory》2006,120(2):303-325
We consider the relative Thue inequalities
|X4−t2X2Y2+s2Y4|?2|t|−2|s|−2, 相似文献
8.
This paper is concerned with the standing wave for a class of nonlinear Schrödinger equations
iφt+Δφ−2|x|φ+μ|φ|p−1φ+γ|φ|q−1φ=0, 相似文献
9.
Than Sint Khin 《Journal of Mathematical Analysis and Applications》2009,354(1):220-228
We consider propagation property for anisotropic diffusion equation with convection in 2 dimension,
t∂(um)−x1∂(|x1∂u|p1−1x1∂u)−x2∂(|x2∂u|p2−1x2∂u)+uα−1x1∂u=0, 相似文献
10.
Ricardo Enguiça 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(9):2968-2979
We start by studying the existence of positive solutions for the differential equation
u″=a(x)u−g(u), 相似文献
11.
Yasuhito Miyamoto 《Journal of Mathematical Analysis and Applications》2009,357(1):89-97
We give two sufficient conditions for a branch consisting of non-trivial solutions of an abstract equation in a Banach space not to have a (secondary) bifurcation point when the equation has a certain symmetry. When the nonlinearity f is of Allen-Cahn type (for instance f(u)=u−u3), we apply these results to an unbounded branch consisting of non-radially symmetric solutions of the Neumann problem on a disk D⊂R2
12.
Benoit Pausader 《Journal of Functional Analysis》2009,256(8):2473-3402
Fourth-order Schrödinger equations have been introduced by Karpman and Shagalov to take into account the role of small fourth-order dispersion terms in the propagation of intense laser beams in a bulk medium with Kerr nonlinearity. In this paper we investigate the cubic defocusing fourth-order Schrödinger equation
it∂u+Δ2u+2|u|u=0 相似文献
13.
Jörg Härterich 《Journal of Mathematical Analysis and Applications》2005,307(2):395-414
This paper deals with the singular limit for
L?u:=ut−Fx(u,?ux)−?−1g(u)=0, 相似文献
14.
We study generalized solutions of the nonlinear wave equation
utt−uss=au+−bu−+p(s,t,u), 相似文献
15.
G.A. Afrouzi 《Journal of Mathematical Analysis and Applications》2005,303(1):342-349
In this paper we shall study the following variant of the logistic equation with diffusion:
−du″(x)=g(x)u(x)−u2(x) 相似文献
16.
Zuodong Yang 《Journal of Mathematical Analysis and Applications》2003,288(2):768-783
We show the existence of entire explosive positive radial solutions for quasilinear elliptic systems div(|∇u|m−2∇u)=p(|x|)g(v), div(|∇v|n−2∇v)=q(|x|)f(u) on , where f and g are positive and non-decreasing functions on (0,∞) satisfying the Keller-Osserman condition. 相似文献
17.
Claudio Bonanno Pietro d'Avenia Marco Ghimenti Marco Squassina 《Journal of Mathematical Analysis and Applications》2014
We investigate the soliton dynamics for a class of nonlinear Schrödinger equations with a non-local nonlinear term. In particular, we consider what we call generalized Choquard equation where the nonlinear term is (|x|θ−N?|u|p)|u|p−2u. This problem is particularly interesting because the ground state solutions are not known to be unique or non-degenerate. 相似文献
18.
Let Ω be a bounded domain in R2, u+=u if u?0, u+=0 if u<0, u−=u+−u. In this paper we study the existence of solutions to the following problem arising in the study of a simple model of a confined plasma
19.
In this paper, we study the nonexistence and longtime behavior of weak solution for the degenerate parabolic equation ? t u n = u m div(|?u m | p?2?u m ) + γ|?u m | p + β u n with zero boundary condition. Blow-up time is derived when the blow-up does occur. 相似文献
20.
The existence of a -global attractor is proved for the p-Laplacian equation ut−div(|∇u|p−2∇u)+f(u)=g on a bounded domain Ω⊂Rn(n?3) with Dirichlet boundary condition, where p?2. The nonlinear term f is supposed to satisfy the polynomial growth condition of arbitrary order c1q|u|−k?f(u)u?c2q|u|+k and f′(u)?−l, where q?2 is arbitrary. There is no other restriction on p and q. The asymptotic compactness of the corresponding semigroup is proved by using a new a priori estimate method, called asymptotic a priori estimate. 相似文献