一类四点边值问题的多个对称正解

研究了一类具p-Laplace算子的二阶四点边值问题,利用锥上的不动点定理得到该类问题对称正解的存在性,建立了所研究问题至少存在三个对称正解的充分条件.     

一类非散度型非线性退化抛物方程解的存在性(英文)

In this paper, we discuss the existence of weak solutions to the initial and boundary value problem of a class of nonlinear degenerate parabolic equations in non-divergence form. Applying the method of parabolic regularization, we prove the existence of weak solutions to the problem. By carefully analyzing the approximate solutions to the problem, we make a series of estimates to the solutions and prove the weak convergence of the approximation solution sequence. Finally we testify the existence of weak solutions to the problem.     

THE OPIAL INEQUALITY IN R~N

Where n is a bounded smooth dornain in RN, A.u = Z k(IVuIp--'e) is the p1aPlacei = 1operator, p 2 2, q E be, ff) are some given real number. By this result, we deduce the famousOpial inequality in RN.As we know, the solvabiliy of problem (1) resuIts from whether the minimumcan be achieved. If (2) is achieved, the attained function W(x) is the nontrivial solution ofproblem (1) corre8ponding to A = A1(p, q, n) and ^ = ^1(p, ql n) is the corresponding ndnimumeigenvalue. Since q i8 8maller …     

一维p-laplace方程解的存在性

在本文中 ,我们讨论了一维 p - laplace方程解的存在性 ,由非线性抉择给出了方程解存在的一个充分条件