Results 21 to 30 of about 114,824 (268)
This paper is devoted to study the existence, nonexistence, and multiplicity of positive solutions for the nth-order nonlocal boundary value problem with impulse effects. The arguments are based upon fixed point theorems in a cone.
Meiqiang Feng +2 more
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L ∞ $L^{\infty }$ decay estimates of solutions of nonlinear parabolic equation
In this paper, we are interested in L ∞ $L^{\infty }$ decay estimates of weak solutions for the doubly nonlinear parabolic equation and the degenerate evolution m-Laplacian equation not in the divergence form. By a modified Moser’s technique we obtain L ∞
Hui Wang, Caisheng Chen
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On the boundary-value problem of a spheroid [PDF]
The surface charge density of a charged spheroid is obtained in exact, closed form using a Green’s function expansion in spherical coordinates. The possibility is thus established of solving boundary-value problems analytically using coordinates that do not correspond to boundary shapes.
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In this paper, we discuss the nonlinear boundary problem for first-order impulsive semilinear differential inclusions. We establish existence results by using Martelli’s fixed point theorem with upper and lower solutions method.
Yan Luo
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Blowup Analysis for a Semilinear Parabolic System with Nonlocal Boundary Condition
This paper deals with the properties of positive solutions to a semilinear parabolic system with nonlocal boundary condition. We first give the criteria for finite time blowup or global existence, which shows the important influence of nonlocal boundary.
Zhaoyin Xiang, Yulan Wang
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Existence of nonconstant periodic solutions for p(t) $p(t)$-Laplacian Hamiltonian system
The purpose of this paper is to consider the existence of periodic solutions for the p(t) $p(t)$-Laplacian Hamiltonian system. Some results are obtained by using the least action principle and the minimax methods.
Yuanfang Ru, Fanglei Wang
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Entire Bounded Solutions for a Class of Quasilinear Elliptic Equations
We consider the problem −div(|∇u|p−2∇u)=a(x)(um+λun), x∈â„ÂN, N≥3, where ...
Zuodong Yang, Bing Xu
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Infected individuals often obtain or lose immunity after recovery in medical studies. To solve the problem, this paper proposes a stochastic SIRS epidemic model with a general incidence rate and partial immunity. Through an appropriate Lyapunov function,
Tao Chen, Zhiming Li
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Boundary value problems on manifolds with fibered boundary [PDF]
AbstractWe define a class of boundary value problems on manifolds with fibered boundary. This class is in a certain sense a deformation between the classical boundary value problems and the Atiyah–Patodi–Singer problems in subspaces (it contains both as special cases).
Savin, Anton, Sternin, Boris
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This article concerns the Hamiltonian elliptic system: {−Δφ+V(x)φ=Gψ(x,φ,ψ)in RN,−Δψ+V(x)ψ=Gφ(x,φ,ψ)in RN,φ,ψ∈H1(RN). $$ \textstyle\begin{cases} -\Delta \varphi +V(x)\varphi =G_{\psi }(x,\varphi ,\psi ) & \mbox{in } \mathbb {R}^{N}, \\ -\Delta \psi +V(x)\
Yubo He, Dongdong Qin, Dongdong Chen
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