共查询到20条相似文献,搜索用时 171 毫秒
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有阻尼混合气体的导热过程由下列方程给出其中,λ=ρCD/K,D是扩散系数,ρ、C、K分别是密度、比热和热导率,u、v是温度和浓度,f(u)v是反应速度. 在—∞相似文献
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采用非线性分析的方法 ,在任意带光滑边界的区域内 ,研究一类带交错扩散影响的拟线性抛物系统 ,证明了解的整体存在性 . 相似文献
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徐玉兰 《高校应用数学学报(A辑)》2006,21(1):49-60
在研究拟线性弦振动方程带第三类边值问题的精确边界能控性时,出现了拟线性双曲组一类非局部混合初边值问题.论文先证明该类非局部混合问题局部C^1解的存在惟一性,并考察其存在高度的性质,进而利用一致先验估计证明半整体C^1解的存在惟一性,并以此为基础研究相应问题的精确边界能控性,最后为便于应用,将论文的结论写成了可化约方程组的情形。 相似文献
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The paper studies the existence,the exponential decay and the nonexistence of global solution for a class of quasilinear parabolic equations. 相似文献
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研究了带跳跃非线性项的p-Laplacian方程结点解的存在性.如果该问题的非线性项跨越其对应齐次问题的Fucik谱,我们证明了该问题至少存在一个结点解. 相似文献
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这篇文章主要利用常微分技术讨论了一个二阶拟线性椭圆方程Lpu≡div(|Du|^p-2Du)=f(x,u),x∈R^N的整体解的不存在性.我们只考虑2≤p〈N的情況并且在假设f(x,u)关于第二个变量u没有单调性的情况下得到整体解的不存在性结果. 相似文献
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In this paper,we study the multiple positive solutions of integral boundary value problems for a class of p-Laplacian differential equations involving the Caputo fractional derivative.Using a fixed point theorem due to Avery and Peterson,we obtain the existence of at least three positive decreasing solutions of the nonlocal boundary value problems. We give an example to illustrate our results. 相似文献
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The Existence of Three Positive Solutions for $p$-Laplacian Difference Equation with Delay 下载免费PDF全文
Linjun Wang & Chengchun Gong 《数学研究通讯:英文版》2012,28(4):337-348
In this paper, we study the multiplicity of positive solutions for a class
of $p$-Laplacian difference equations with delay. We propose sufficient conditions for
the existence of at least three positive solutions and we also provide two numerical
examples to illustrate the theoretical results. 相似文献
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In this paper we give a necessary and sufficient condition for the existence of positive solutions for the one-dimensional singular p-Laplacian differential equation. The methods used to show existence rely on upper-lower solutions method and compactness techniques, while the methods used to prove nonexistence are based on monotone techniques and scaling arguments. 相似文献
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In this paper, the existence of positive solutions of the following third-order three-point boundary value problem with $p$-Laplacian
\begin{equation*}
\begin{gathered}
\ \ \left\{ \begin{array}{l}\displaystyle(\phi_{p}(u''(t)))''+f(t,u(t))=0,\ t\in
(0,1),\u(0)=\alpha u(\eta), u(1)=\alpha u(\eta), u''(0)=0,\end{array}
\right.
\end{gathered}
\end{equation*}
is studied, where $\phi_{p}(s)=|s|^{p-2}s$, $p>1$. By using the fixed point index method, we establish sufficient conditions for the existence of at least one or at least two positive solutions for the above boundary value problem. The main result is demonstrated by providing an example as an application. 相似文献
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This paper deals with the existence of three positive solutions for a class of nonlinear singular three-point boundary value problem with p-Laplacian. By means of a fixed point theorem duo to Leggett and Williams, sufficient condition for the existence of at least three positive solutions to the nonlinear singular three-point boundary value problem is established 相似文献
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Ruyun Ma 《Journal of Mathematical Analysis and Applications》2006,319(2):424-434
We study the existence of nodal solutions of the fourth-order two-point boundary value problem
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In this paper, we consider the existence of positive solutions for the singular fourthorder four point boundary value problem with p-Laplacian operator. By using the fixed point theorem of cone expansion and compression, the existence of multiple positive solutions is obtained. 相似文献
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Thomas Bartsch Anna Maria Micheletti Angela Pistoia 《Calculus of Variations and Partial Differential Equations》2006,26(3):265-282
We study the existence of sign changing solutions to the slightly subcritical problem
where ω is a smooth bounded domain in ℝ
N
, N ≥ 3, p = (N + 2)/(N − 2) and ɛ > 0. We prove that, for ɛ small enough, there exist N pairs of solutions which change sign exactly once. Moreover, the nodal surface of these solutions intersects the boundary of ω, provided some suitable conditions are satisfied.The second and the third authors are supported by M.U.R.S.T. project “Metodi variazionali e topologici nello studio di fenomeni non lineari”
Mathematics Subject Classification (2000) 35J20, 35J65 相似文献
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综合利用锥上的不动点指数理论和上下解方法,讨论了一类含两个参数的p- Laplacian算子系统奇异边值问题正解的存在性、非存在性和多解性,得到了一条由参数决定的连续曲线,它决定了解的分布情况,从而获得了新的结论. 相似文献
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Feng Quan Li 《数学学报(英文版)》2002,18(1):119-128
In this paper, an existence result of entropy solutions to some parabolic problems is established. The data belongs to L
1 and no growth assumption is made on the lower-order term in divergence form.
Received June 10, 1999, Revised November 1, 1999, Accepted February 5, 2001 相似文献