具偏差变元的Rayleigh型p-Laplacian方程的周期解

研究了一类具偏差变元的Rayleigh型p-Laplacian方程（φp（x′（t）））′＋f（t,x′（t））＋g（t,x（t-τ（t）））=e（t）的周期解问题.利用拓扑度理论和一个先验估计,获得了一些新的结果,同时也改进并推广了已有文献中的一些结果.     

一类Lienard型p-Laplacian方程周期解的存在唯一性

利用重合度理论和一些分析技巧,研究了一类Lienard型p-Laplacian方程(φ_p(x^((n-1))(t)))'+f(t,x(t),x((n-1))(t)))'+f(t,x(t),x^((n-1))(t))+(?)gk(t,x(t),x(t-τ_k(t))=e(t)获得其存在周期解的充分条件,并给出了在p≥2,n=2,f(t,u,v)=h(t,v)情形下存在唯一周期解的充分条件.所用方法与已有文献不同,结果是新的且与时滞τ_k(t)有关.     

一维 p-Laplacian方程的两点奇异边值问题正解的存在性

该文讨论了如下一维 p-Laplacian 方程-(|u'(t)|^p-2u'(t))'=a(t)f(u(t)), t∈(0,1) u(0)=u(1)=0 的两点奇异边值问题正解的存在性,其中f可能在t=0,1都有奇点.     

由p-Laplacian算子导出的半变分不等式的特征值问题

研究了一类具有非光滑局部Lipschitz位势(半变分不等式)的非线性特征值问题其中1相似文献   

奇异非线性p-Laplacian算子方程正解的存在性

通过应用范数形式的锥拉伸与压缩不动点定理，一类含有一维P—Laplacian算子的奇异非线性四点边值问题的正解的存在性被考查，尽管非线性项含有未知函数的一阶导数。     

一类椭圆型方程的多重解

利用极小极大方法获得了一类Dirichlet问题多重解的存在性结果.     

Multiple Solutions for a Fractional p-Laplacian Equation with Concave Nonlinearities

We investigate a fractional $p$-Laplacian equation with right-hand-side nonlinearity which exhibits $(p-1)$-sublinear term of the form $\lambda |u|^{q-2},\, q

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一类含有p-Laplacian算子的微分方程正解的确切个数

利用打靶法给出了一类含有p-Laplacian算子的微分方程的正解的确切个数。     

Positive solutions for a p-Laplacian type system of impulsive fractional boundary value problem

In this paper, the aim is to discuss a class of p-Laplacian type fractional Dirichlet"s boundary value problem involving impulsive impacts. Based on the approaches of variational method and the properties of fractional derivatives on the reflexive Banach spaces, the existence results of positive solutions for our equations are established. Two examples are given at the end of each main result.     

p-Laplace型非线性泛函差分方程正解的存在性

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Existence and Properties of Radial Solutions of a Sub-linear Elliptic Equation

A non lipschitzian nonlinear elliptic equation is reviewed and results of existence, uniqueness, positivity and classification are proved using direct methods derived from the equation.     

Maximum Principle and Existence of Weak Solutions for Nonlinear System Involving Singular p-Laplacian Operators

In this work we give necessary and sufficient conditions to have a maximum principle for nonlinear system involving singular (p,q)-Laplacian operators on bounded domain Ω of Rⁿ and then we prove the existence of positive weak solutions for the same system by using the Browder theorem method.     

On the Cauchy Problem of Evolution p-Laplacian Equation with Nonlinear Gradient Term

The authors study the existence of solution to p-Laplacian equation with non-linear forcing term under optimal assumptions on the initial data,which are assumed to be measures.The existence of local solution is obtained.     

Stationary Solutions for a Generalized Kadomtsev-Petviashvili Equation in Bounded Domain

In this work, we are mainly concerned with the existence of stationary solutions for a generalized Kadomtsev-Petviashvili equation in bounded domain of Rn. We utilize variational method and critical point theory to establish our main results.     

Asymptotic Behavior of Nodal Solutions for Semilinear Elliptic Equationsin R~n

§１．　ＩｎｔｒｏｄｕｃｔｉｏｎＲｅｃｅｎｔｌｙ，ｔｈｅｓｅｍｉｌｉｎｅａｒｅｌｌｉｐｔｉｃｅｑｕａｔｉｏｎｓ△ｕ＋ｆ（ｕ）＝０（１．１）ｕ（ｘ）→０ａｓ｜ｘ｜→∞（１．２）ｉｎＲｎｗｅｒｅｃｏｎｓｉｄｅｒｅｄｗｉｄｅｌｙ（ｓｅｅ［１］－［７］）．Ｉｎｔｈｅｎｉｃｅｐａｐｅｒｓ［１］ａｎｄ［２］，ｉｔｗａｓｐｒｏｖｅｄｔｈａｔａｎｙｐｏｓｉｔｉｖｅｓｏｌｕｔｉｏｎｏｆ（１．１）ｍｕｓｔｂｅｒａｄｉａｌｉｎｃａｓｅｆ（ｕ）∈Ｃ１＋δ（δ＞０）．Ｔｈｅｒｅｆｏｒｅ，ａｎｙｐｏｓｉｔｉｖｅｓｏｌｕｔｉ…     

含非对称临界非线性项的p-Laplace方程的多解问题

本文考虑含非奇对称临界非线性项的p-Laplace方程Dirichlet问题。运用改进的集中列紧原理证明了在某些指数条件下非奇对称的临界非线性项仍能保证无穷多弱解的存在性。     

具有多个偏差变元的Rayleigh型p-Laplacian泛函微分方程的周期解

利用重合度理论中的延拓定理和不等式分析技巧,获得了一类具有多个偏差变元的Rayleigh型p-Laplacian泛函微分方程的周期解存在性的充分条件,推广和改进了已有文献的相关结果.     

具p-Laplace算子型泛函差分方程的正解

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具有p-Laplace算子的中立型泛函微分方程周期解

利用重合度延拓定理和分析技巧,讨论了一类具有p-Laplace算子的分布时滞中立型泛函微分方程的周期解问题,得到了其存在周期解的充分性结论,并且该结果是新的.