共查询到20条相似文献,搜索用时 13 毫秒
1.
A. Henrot G. A. Philippin 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2003,254(1):784-796
This paper deals with some classical boundary value problems defined in the ring-shaped region
W\[`(B(R0))] ì \BbbRN\Omega \backslash\overline{B(R_0)} \subset \Bbb{R}^N, where
B(R
0)
is the N-ball of radius
R
0
centered at the origin and contained in .
The authors investigate how the geometry of
is affected
by some overdertermined data. In particular they show that
must be nearly spherical if the overdetermined data are
nearly constants. 相似文献
2.
Vicenţiu Rădulescu 《Archiv der Mathematik》2005,84(6):538-550
We consider the nonlinear Sturm-Liouville problem –u = f(u) + h in (0, 1), u(0) = u(1) = 0, where h L2(0,1) and f is a positive convex nonlinearity with superlinear growth at infinity. Our main result establishes that the above boundary value problem admits a finite number of solutions but it cannot have infinitely many solutions.Received: 8 July 2004 相似文献
3.
4.
In this paper, a class of boundary value problems associated with high-order partial functional differential equations with distributed deviating arguments is investigated. Some oscillation criteria of solutions to the problem are developed. Our approach is to reduce the multi-dimensional oscillation problem to a one-dimensional oscillation one by employing some integral means of solutions and introducing some parameter functions. One illustrative example is considered. 相似文献
5.
Anna Dall'Acqua 《Journal of Differential Equations》2004,205(2):466-487
Pointwise estimates are derived for the kernels associated to the polyharmonic Dirichlet problem on bounded smooth domains. As a consequence, one obtains optimal weighted Lp-Lq-regularity estimates for weights involving the distance function. 相似文献
6.
7.
Monica Marras Stella Vernier-Piro 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2005,56(6):942-956
The authors study a class of initial boundary value problems associated with parabolic quasilinear equations: by introducing
special auxiliary functions, upper and lower solutions are obtained, which turn out to be sharp in the sense that they coincide
with the solution in particular situations.
To Larry Payne on the occasion of his 80th birthday.
Received: February 3, 2004; revised: April 26, 2004
Partially supported by University of Cagliari 相似文献
8.
We prove existence and uniqueness of positive solutions for the boundary value problem
(rN−1φ(u′))′=−λrN−1f(u),u′(0)=u(1)=0, 相似文献
9.
We use a method recently devised by Bolle to establish the existence of an infinite number of solutions for various non-homogeneous
boundary value problems. In particular, we consider second order systems, Hamiltonian systems as well as semi-linear partial
differential equations. The non-homogeneity can originate in the equation but also from the boundary conditions. The results
are more satisfactory than those obtained by the standard “Perturbation from Symmetry” method that was developed – in various forms – in the early eighties by Bahri–Berestycki, Struwe and Rabinowitz.
Received: 13 August 1998 / Revised version: 6 July 1999 相似文献
10.
L. E. Payne G. A. Philippin A. Safoui 《Zeitschrift für Angewandte Mathematik und Physik (ZAMP)》2006,57(5):750-765
In this paper, we establish continuous dependence inequalities for the solutions u(x, t) of a class of nonlinear parabolic initial-boundary value problems and their gradients when the data are subject to variations.
Dedicated to Joseph Hersch on the occasion of his 80th birthday
(Received: February 24, 2005; revised: March 14, 2005) 相似文献
11.
The goal of this paper is to study the asymptotic behavior of the solution of the quasilinear parabolic boundary value problems defined on cylindrical domains when one or several directions go to infinity. We show that the dimension of the space can be reduced and the rate of convergence is analyzed. The evolution p-Laplacian equations and the generalized heat problems are considered. 相似文献
12.
In this paper, we establish some new nonlinear integral inequalities of the Gronwall–Bellman–Ou-Iang-type in two variables. These on the one hand generalizes and on the other hand furnish a handy tool for the study of qualitative as well as quantitative properties of solutions of differential equations. We illustrate this by applying our new results to certain boundary value problem. 相似文献
13.
14.
Smaïl Djebali 《Nonlinear Analysis: Theory, Methods & Applications》2010,73(3):660-672
The goal of this paper is to discuss the continuous dependence of solutions on functional parameters for the following semilinear elliptic partial differential equation: , for x∈Ωr0?{x∈Rn,n≥3,‖x‖>r0} and v∈V, where V stands for some functional space. Our approach covers the case when f may change sign and admits general growth. As an additional result, the characterization of the radius r0 for which our problem possesses at least one positive evanescent solution in the exterior domain Ωr0 is described and numerically illustrated. Our approach relies on the subsolution and supersolution method and on a lemma due to Noussair and Swanson. 相似文献
15.
The four basic stationary boundary value problems of elasticity for the Lamé equation in a bounded domain of 3 are under consideration. Their solutions are represented in the form of a power series with non-positive degrees of the parameter =1/(1–2), depending on the Poisson ratio . The coefficients of the series are solutions of the stationary linearized non-homogeneous Stokes boundary value problems. It is proved that the series converges for any values of outside of the minimal interval with the center at the origin and of radiusr1, which contains all of the Cosserat eigenvalues.Dedicated to Prof. I.Gohberg on the occasion of his 70th birthday 相似文献
16.
Using a recent result of Ricceri [10] we prove a multiplicity result for a class of quasilinear eigenvalue problems with nonlinear
boundary conditions on an unbounded domain. Our paper completes previous results obtained by Carstea and Rădulescu [4], Chabrowski
[1], [2], Kandilakis and Lyberopoulos [6] and Pflüger [7].
Received: 17 April 2007 相似文献
17.
Boundary value problems for second order elliptic differential equations and systems in a polyhedral domain are considered. The authors prove Schauder estimates and obtain regularity assertions for the solutions. 相似文献
18.
Jian-Wen Sun Wan-Tong LiFei-Ying Yang 《Nonlinear Analysis: Theory, Methods & Applications》2011,74(11):3501-3509
This paper is concerned with an inhomogeneous nonlocal dispersal equation. We study the limit of the re-scaled problem of this nonlocal operator and prove that the solutions of the re-scaled equation converge to a solution of the Fokker-Planck equation uniformly. We then analyze the nonlocal dispersal equation of an inhomogeneous diffusion kernel and find that the heterogeneity in the classical diffusion term coincides with the inhomogeneous kernel when the scaling parameter goes to zero. 相似文献
19.
Existence of solutions for a class of singular quasilinear elliptic resonance problems 总被引:1,自引:0,他引:1
The paper concerns a resonance problem for a class of singular quasilinear elliptic equations in weighted Sobolev spaces. The equation set studied is one of the most useful sets of Navier-Stokes equations; these describe the motion of viscous fluid substances such as liquids, gases and so on. By using Galerkin-type techniques, the Brouwer fixed point theorem, and a new weighted compact Sobolev-type embedding theorem established by Shapiro, we show the existence of a nontrivial solution. 相似文献