共查询到20条相似文献,搜索用时 62 毫秒
1.
In this paper, we investigate a class of Dirichlet quasilinear elliptic systems involving the(p1(x), ···, pn(x))-Laplacian. Based on the general three critical points theorem of B. Ricceri, we prove the existence of at least three weak solutions to the system. 相似文献
2.
张申贵 《高校应用数学学报(A辑)》2019,34(4)
利用变指数Sobolev空间理论和临界点理论中的Clark定理,研究一类变指数椭圆系统的边值问题.当非线性项在零点附近p--次线性增长时,得到该系统无穷多个解的存在性. 相似文献
3.
In this paper,we introduce a new iterative scheme for finding the common element of the set of solutions of an equilibrium problem,the set of solutions of variational inequalities for an α-inversely strongly monotone operator and the set of fixed points of relatively nonexpansive mappings in a real uniformly smooth and 2-uniformly convex Banach space.Some weak convergence theorems are obtained,to extend the previous work. 相似文献
4.
利用极大单调算子理论,给出了一类含p(x)-Laplacian算子的Neumann边值问题解的存在的充分条件.讨论用到了Lp(x)(Ω)和W01,p(x)(Ω)空间的理论. 相似文献
5.
The initial boundary value problem for the fourth-order wave equation utt △2u u=|t|p-1u is considered.The existence and uniqueness of global weak solutions is obtained by using the Galerkin method and the concept of stable set due to Sattinger. 相似文献
6.
陈林 《数学的实践与认识》2019,(3)
研究一类拟线性椭圆方程组■其中N≥3,1p≤q≤N,-∞a (N-p)/p,-∞b (N-q)/q, d∈(q,p~*)(p~*=(pN)/(N-p)若Np,p~*=∞若N≤p).函数V_1(x),V_2(x),F(u,v),f_1(x)及f_2(x)是满足适当条件的已知函数.运用山路引理和Ekeland变分原理证明了问题至少存在两个非平凡的弱解. 相似文献
7.
考虑了一类带有p(x)-Laplacian算子的Neumann型变分半变分不等式障碍问题,通过对位势函数作一些合理假设后,运用非光滑三个点临界点理论2,得到了此问题三个解的存在性. 相似文献
8.
首先证明了一个抽象的紧性定理,然后借此定理证明了对应于一类拟线性椭圆方程组的泛函在比Boccardo和De.Figueiredo(2002)的条件更弱的条件(文中记为弱类(AR)条件)下满足(C)条件,并利用山路引理证明了这类拟线性椭圆方程组非平凡解的存在性,最后举出两个例子验证了文中所给条件(即弱类(AR)条件)的确比Boccardo和De.Figueiredo(2002)的条件弱. 相似文献
9.
10.
《数学的实践与认识》2017,(24)
利用变分方法研究了R~N上一类带有临界非线性项的p-Kirchhoff型问题非平凡解的存在性.首先得到了该问题的能量泛函并证明了其具有山路引理的几何结构.其次给出了山路值c的一个上界并且证明了相应的(PS)_c序列是有界的.最终利用集中紧性原理及其它相关知识证明了能量泛函满足(PS)_c条件,从而表明了能量泛函存在非零的临界点,即证明了该问题至少存在一个非平凡解. 相似文献
11.
By establishing the corresponding variational framework, and using the critical points theorem, we give the existence of multiple solutions for a fractional difference boundary value problem with p-Laplacian operator. Under some suitable assumptions we obtain the existence of a positive parameter such that the problem admits at least three solutions. Some examples are presented to illustrate the main results. 相似文献
12.
13.
研究了一含临界指数的p(x)-Laplace方程的Dirichlet边值问题,运用推广的集中紧致性原理,并结合山路引理得到了该问题非平凡弱解的存在性结果. 相似文献
14.
研究了分数阶p-Laplacian Kirchhoff方程,运用变分法和截断函数理论,证明了在一定条件下具有消失Kirchhoff项的分数阶p-Laplacian问题正解的存在性和多重性. 相似文献
15.
Shapour Heidarkhani Massimiliano Ferrara Amjad Salari Giuseppe Caristi 《复变函数与椭圆型方程》2016,61(11):1494-1516
This paper deals with the existence of solutions for a class of p(x)-biharmonic equations with Navier boundary conditions. The approach is based on variational methods and critical point theory. Indeed, we investigate the existence of two solutions for the problem under some algebraic conditions with the classical Ambrosetti–Rabinowitz condition on the nonlinear term. Moreover, by combining two algebraic conditions on the nonlinear term which guarantee the existence of two solutions, applying the mountain pass theorem given by Pucci and Serrin we establish the existence of the third solution for the problem. 相似文献
16.
运用变分方法和临界点理论研究2n阶差分方程边值问题非平凡解的存在性,推广和完善了近期的一些结果. 相似文献
17.
Shapour Heidarkhani Ghasem A. Afrouzi Shahin Moradi Giuseppe Caristi 《Journal of Difference Equations and Applications》2017,23(9):1491-1507
In this paper, we are concerned with the existence of at least three distinct solutions for a perturbed anisotropic discrete Dirichlet problem. The approach is based on variational methods. We also provide two examples in order to illustrate the results. 相似文献
18.
19.
20.
运用锥拉伸压缩原理,讨论了一类具有p-Laplacian算子型的非线性奇异边值问题正解的存在性,并对所得结果给出了一些应用和例子.
相似文献