共查询到20条相似文献,搜索用时 0 毫秒
1.
In this paper, we study the existence and nonexistence of multiple positive solutions for the inhomogeneous Neumann boundary value problem
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Albo Carlos Cavalheiro 《Applications of Mathematics》2006,51(6):619-628
In the paper we study the equation L
u
= f, where L is a degenerate elliptic operator, with Neumann boundary condition in a bounded open set μ. We prove existence and uniqueness
of solutions in the space H(μ) for the Neumann problem. 相似文献
4.
Pasquale Candito 《Rendiconti del Circolo Matematico di Palermo》2006,55(1):43-52
We use critical point theory to establish the existence of at least two solutions to a nonlinear Neumann problem involving
the one-dimensional p-Laplacian without assuming asymptotic conditions at infinity on the nonlinearity. 相似文献
5.
Francesca Faraci 《Journal of Mathematical Analysis and Applications》2003,277(1):180-189
In this paper, we establish some multiplicity results for the following Neumann problem:
6.
In this paper we study the shape of least-energy solutions to the quasilinear problem εmΔmu−um−1+f(u)=0 with homogeneous Neumann boundary condition. We use an intrinsic variation method to show that as ε→0+, the global maximum point Pε of least-energy solutions goes to a point on the boundary ∂Ω at the rate of o(ε) and this point on the boundary approaches to a point where the mean curvature of ∂Ω achieves its maximum. We also give a complete proof of exponential decay of least-energy solutions. 相似文献
7.
Giovanni Anello 《Mathematische Nachrichten》2007,280(16):1755-1764
In this paper we establish an existence theorem of strong solutions to a perturbed Neumann problem of the type In particular, our solutions take their values in a fixed real interval. This latter fact allows us to state a multiplicity result assuming on f an oscillating behavior. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
8.
Norimichi Hirano 《Journal of Mathematical Analysis and Applications》2006,314(1):210-218
The multiplicity of solutions for semilinear elliptic equations with exponential growth nonlinearities is treated. The approach to the problem is a variational method. 相似文献
9.
Gabriele Bonanno Giuseppina D'Aguì 《Journal of Mathematical Analysis and Applications》2009,358(2):223-637
The aim of this paper is to establish the existence of an unbounded sequence of weak solutions to a Neumann problem for elliptic equations involving the p-Laplacian. 相似文献
10.
In this paper, we study the mixed initial-boundary value problem of Neumann type for the nonlinear elastic wave equation outside a domain. The local existence of solutions to this problem is proved by iteration. To get this result, we prove the existence of solutions for the second order linear hyperbolic system with variable coefficients (in Sobolev spaces) outside of a domain by using linear evolution operators and integro-differential equations. 相似文献
11.
In this paper, we will analyze the blow-up behavior of solution sequences satisfying a conformal invariant equation defined on a compact 2-dimensional surface (M,g) with boundary. We will provide some accurate point-wise estimates for the profile of these sequences. 相似文献
12.
Chun-Lei Tang 《Journal of Mathematical Analysis and Applications》2003,288(2):660-670
The existence and multiplicity results are obtained for solutions of Neumann problem for semilinear elliptic equations by the least action principle and the minimax methods respectively. 相似文献
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Biagio Ricceri 《Proceedings of the American Mathematical Society》2006,134(4):1117-1124
Here is a particular case of the main result of this paper: Let be a bounded domain, with a boundary of class , and let be two continuous functions, , with 0$">, , with n$">. If
and if the set of all global minima of the function has at least connected components, then, for each 0$"> small enough, the Neumann problem
admits at least strong solutions in .
and if the set of all global minima of the function has at least connected components, then, for each 0$"> small enough, the Neumann problem
admits at least strong solutions in .
15.
Dagmar Medková 《Czechoslovak Mathematical Journal》2007,57(4):1107-1139
The solution of the weak Neumann problem for the Laplace equation with a distribution as a boundary condition is studied on
a general open set G in the Euclidean space. It is shown that the solution of the problem is the sum of a constant and the Newtonian potential
corresponding to a distribution with finite energy supported on ∂G. If we look for a solution of the problem in this form we get a bounded linear operator. Under mild assumptions on G a necessary and sufficient condition for the solvability of the problem is given and the solution is constructed.
The research was supported by the Academy of Sciences of the Czech Republic, Institutional Research Plan No. AV0Z10190503. 相似文献
16.
Massimo Grossi 《Proceedings of the American Mathematical Society》2000,128(6):1665-1672
We prove that the least-energy solution of the problem
where is a ball, and if , if , is unique (up to rotation) if is small enough.
17.
The authors propose a “modified” Nyström method to approximate the solution of a boundary integral equation connected with the exterior Neumann problem for Laplace's equation on planar domains with corners. They prove the convergence and the stability of the method and show some numerical tests. 相似文献
18.
Fuyi Li Yanbiao Zhang Yuhua Li 《Journal of Mathematical Analysis and Applications》2008,344(1):417-428
In this paper, we consider the fourth-order Neumann boundary value problem u(4)(t)−2u″(t)+u(t)=f(t,u(t)) for all t∈[0,1] and subject to u′(0)=u′(1)=u?(0)=u?(1)=0. Using the fixed point index and the critical group, we establish the existence theorem of solutions that guarantees the problem has at least one positive solution and two sign-changing solutions under certain conditions. 相似文献
19.
A. B. Al’shin M. A. Istomina 《Computational Mathematics and Mathematical Physics》2006,46(7):1207-1215
The dynamic potential constructed in this paper is used to analyze the existence of a classical solution to the Neumann problem for a Sobolev equation. 相似文献
20.
Jan Chabrowski 《Ricerche di matematica》2007,56(2):297-319
We consider the semilinear Neumann problem involving the critical Sobolev exponent with an indefinite weight function and
a concave purturbation. We prove the existence of two distinct solutions.
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