首页 | 本学科首页   官方微博 | 高级检索  
相似文献
 共查询到20条相似文献,搜索用时 15 毫秒
1.
In this article, we establish the existence of three weak solutions for a nonlinear transmission problem involving degenerate nonlocal coefficients of p(x)–Kirchhoff–type. Our approach is of variational nature; the weak formulation takes place in suitable variable exponent Sobolev spaces.  相似文献   

2.
王术  万春林 《数学季刊》1995,10(3):97-101
GlobalExistenceofPositiveSolutionsforVolterraIntegralEquationsWangShu(王术);WanChunlin(万春林);ZhangKun(张锟)(HemanUniversity,Kaifen...  相似文献   

3.
In this paper, we study the Dirichlet problem for the nonlinear an isotropic elliptic equation where is a bounded domain, m_i(i=1, 2, …, n) are positive integers, and a_(ij)(x)(i,j=1,2,…,n) are measurable functions on Ω. The Dirichlet problem for semilinear elliptic equation, (1) with m_i=1 (i=1,2,…, n), has been studied by several people, see e.g [1] and the bibliography in [1]. The general nonlinear problem(1) seems to be studied very little.  相似文献   

4.
The Monge–Kantorovich problem (MKP) with given marginals defined on closed domains and a smooth cost function is considered. Conditions are obtained (both necessary ones and sufficient ones) for the optimality of a Monge solution generated by a smooth measure-preserving map . The proofs are based on an optimality criterion for a general MKP in terms of nonemptiness of the sets for special functions on X × X generated by c and f. Also, earlier results by the author are used when considering the above-mentioned nonemptiness conditions for the case of smooth .  相似文献   

5.
In this paper, We consider the following Dirichlet problem for quasilinearelliptic equation ( /x_i)F_i(x,Du)=-λu-p(x,u) x∈Ω(1) u| Ω=0  相似文献   

6.
Phan  Tuoc 《Potential Analysis》2020,52(3):393-425
Potential Analysis - This paper studies regularity estimates in Sobolev spaces for weak solutions of a class of degenerate and singular quasi-linear elliptic problems of the form...  相似文献   

7.
In this paper,we consider the Dirichlet problem for the quasilinear ellipticequation sum from i=1 to n D_i[a_i(x,Du)]+f(x,u)=0 in Ω, u=0 on Ω,where Ω R~n is a bounded domain. Let p_i>1(i=1,2,…,n),p~*=max p_i and let 1≤i≤n  相似文献   

8.
One considers a degenerate nondivergent second-order linear elliptic equation. In the model case, the matrix of its higher-order coefficients is diagonal and its elements are powers of the moduli of the independent variables. A sufficient condition on the power exponents is obtained which ensures interior a priori Hölder estimates of the solutions.  相似文献   

9.
Plotnikov  P. I. 《Doklady Mathematics》2020,102(3):493-496
Doklady Mathematics - A three-dimensional initial-boundary value problem for the isentropic equations of the dynamics of a viscous gas is considered. The concentration phenomenon is that, for...  相似文献   

10.
We study the Dirichlet problem of the n-dimensional complex Monge–Ampère equation det(uij) = F/|z|~(2α), where 0 α n. This equation comes from La Nave–Tian's continuity approach to the Analytic Minimal Model Program.  相似文献   

11.
Global Existence and Lifespan of Solutions to the Cauchy Problems for the Nonlinear Schrodinger EquationsGlobalExistenceandLi...  相似文献   

12.
This paper is devoted to studying the initial value problems of the nonlinear Kaup Kupershmidt equations δu/δt + α1 uδ^2u/δx^2 + βδ^3u/δx^3 + γδ^5u/δx^5 = 0, (x,t)∈ E R^2, and δu/δt + α2 δu/δx δ^2u/δx^2 + βδ^3u/δx^3 + γδ^5u/δx^5 = 0, (x, t) ∈R^2. Several important Strichartz type estimates for the fundamental solution of the corresponding linear problem are established. Then we apply such estimates to prove the local and global existence of solutions for the initial value problems of the nonlinear Kaup- Kupershmidt equations. The results show that a local solution exists if the initial function u0(x) ∈ H^s(R), and s ≥ 5/4 for the first equation and s≥301/108 for the second equation.  相似文献   

13.
ExistenceTheoremofGlobalSolutionsforMonge-AmpereEquationhoLijiang(鹿立江)(TianjinUniversityofFinanceandEconomics,Tianjin,300222)...  相似文献   

14.
Abstract cyclical monotonicity is studied for a multivalued operator F : X L, where L R X . A criterion for F to be L-cyclically monotone is obtained and connections with the notions of L-convex function and of its L-subdifferentials are established. Applications are given to the general Monge–Kantorovich problem with fixed marginals. In particular, we show that in some cases the optimal measure is unique and generated by a unique (up to the a.e. equivalence) optimal solution (measure preserving map) for the corresponding Monge problem.  相似文献   

15.
We consider the exterior Dirichlet problem for Monge–Ampère equation with prescribed asymptotic behavior. Based on earlier work by Caffarelli and the first named author, we complete the characterization of the existence and nonexistence of solutions in terms of their asymptotic behaviors.  相似文献   

16.
In this paper, the authors will apply De Giorgi-Nash-Moser iteration to establish boundary H¨older estimates for a class of degenerate elliptic equations in piecewise C2smooth domains.  相似文献   

17.
StabilityofSolutionsforaClassofQuasilinearDegenerateParabolicEquations¥ZhaoJunning(赵俊宁)(InstituteofMathematics,JilinUniversit...  相似文献   

18.
Existence of Solutions to a Singular Initial Value Problem   总被引:2,自引:0,他引:2  
Under the sign assumptions we investigate the global existence of solutions of the initial value problem x' =f(t, x, x'), x(0) = A, where the scalar function f(t, x,p) may be singular at x = A.  相似文献   

19.
TheGlobalExistenceofSolutionsforaCross-DiffusionSystem¥(娄元)(倪维明)(吴雅萍)YuanLou;Wei-MingNi(SchoolofMathematics,UniversityofMinne...  相似文献   

20.
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号