共查询到20条相似文献,搜索用时 0 毫秒
1.
In this paper, some new existence theorems of weak solutions for a class of semilinear elliptic systems are obtained by means of the local linking theorem and the saddle point theorem. 相似文献
2.
Chen Huang 《Journal of Mathematical Analysis and Applications》2022,505(2):125496
This paper considers the following general form of quasilinear elliptic equation with a small perturbation: where is a bounded domain with smooth boundary and small enough. We assume the main term in the equation to have a mountain pass structure but do not suppose any conditions for the perturbation term . Then we prove the equation possesses a positive solution, a negative solution and a sign-changing solution. Moreover, we are able to obtain the asymptotic behavior of these solutions as . 相似文献
3.
4.
5.
6.
7.
Guanggang Liu Shaoyun Shi Yucheng Wei 《Mathematical Methods in the Applied Sciences》2013,36(12):1533-1542
In this paper, we obtain a multiplicity result for a class of asymptotically linear noncooperative elliptic systems by using saddle point reduction technique and two abstract critical point theorems. Copyright © 2012 John Wiley & Sons, Ltd. 相似文献
8.
In this paper we study the multiplicity of nontrivial solutions of semilinear elliptic boundary value problems which may be double resonance near infinity between two consecutive eigenvalues of −Δ with zero Dirichlet boundary data. The methods we use here are Morse theory, minimax methods and bifurcation theory. 相似文献
9.
Using a variational approach, we investigate a class of degenerate semilinear elliptic systems with measurable, unbounded nonnegative weights, where the domain is bounded or unbounded. Some existence results are obtained. 相似文献
10.
在R~N上研究一类拟线性椭圆型方程,借助不光滑泛函的临界点理论和山路引理.得到该问题具有无穷多个弱解. 相似文献
11.
HanZhaoxiu 《分析论及其应用》2003,19(2):145-152
By considering the properties of f(t,u,v)/u v, g(t,u,v)/u v, we show the multiplicity of at least two positive solutions of the elliptic system. 相似文献
12.
13.
Chuanzhi Bai 《Journal of Applied Analysis & Computation》2016,6(4):1064-1072
In this paper, by using the Morse theory, we obtain the existence of nontrivial weak solutions of quasilinear elliptic systems with Hardy potential. 相似文献
14.
N. Hirano 《Journal of Mathematical Analysis and Applications》2005,311(2):545-566
In this paper, we consider the existence of infinitely many solutions of noncooperative elliptic systems perturbed from odd cases. 相似文献
15.
Addolorata Salvatore 《Journal of Mathematical Analysis and Applications》2010,366(2):506-515
We study an elliptic system equivalent to a fourth order elliptic equation. By using variational and perturbative methods, we prove the existence of infinitely many solutions both in the symmetric and in the non-symmetric case. 相似文献
16.
17.
This paper is concerned with a class of semilinear elliptic Dirichlet problems approximating degenerate equations. The aim is to prove the existence of at least 4k?1 nontrivial solutions when the degeneration set consists of k distinct connected components 相似文献
18.
Existence and Multiplicity of solutions for a quasilinear elliptic system on unbounded domains involving nonlinear boundary conditions 下载免费PDF全文
Somayeh Khademloo Ghasem Alizadeh Afrouzi Jiafa Xu 《Journal of Applied Analysis & Computation》2020,10(3):1094-1106
We prove two existence results for the nonlinear elliptic boundary value system involving $p$-Laplacian over an unbounded domain in $R^N$ with noncompact boundary. The proofs are based on variational methods applied to weighted spaces. 相似文献
19.
Igor Boglaev 《Numerical Methods for Partial Differential Equations》2012,28(2):621-640
This article deals with numerical solutions of a general class of coupled nonlinear elliptic equations. Using the method of upper and lower solutions, monotone sequences are constructed for difference schemes which approximate coupled systems of nonlinear elliptic equations. This monotone convergence leads to existence‐uniqueness theorems for solutions to problems with reaction functions of quasi‐monotone nondecreasing, quasi‐monotone nonincreasing and mixed quasi‐monotone types. A monotone domain decomposition algorithm which combines the monotone approach and an iterative domain decomposition method based on the Schwarz alternating, is proposed. An application to a reaction‐diffusion model in chemical engineering is given. © 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 621–640, 2012 相似文献
20.
Jesse D. Peterson Aihua W. Wood 《Journal of Mathematical Analysis and Applications》2011,384(2):284-292
We present the existence of entire large positive radial solutions for the non-monotonic system Δu=p(|x|)g(v), Δv=q(|x|)f(u) on Rn where n?3. The functions f and g satisfy a Keller-Osserman type condition while nonnegative functions p and q are required to satisfy the decay conditions and . Further, p and q are such that min(p,q) does not have compact support. 相似文献