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1.
Junhong Zhang 《Applicable analysis》2013,92(11):1373-1382
This article investigates fourth-order singular p-Laplacian boundary value problems (BVPs), and obtains the necessary and sufficient conditions for existence of positive solutions for fourth-order singular p-Laplacian BVPs on closed interval. 相似文献
2.
We prove some existence results for the Webster scalar curvature problem on the Heisenberg group and on the unit sphere of n+1, under the assumption of some natural symmetries of the prescribed curvatures. We use variational and perturbation techniques. Mathematics Subject Classification (2000) 35J20, 35H20, 35J60, 43A80 相似文献
3.
We prove an invariant Harnack’s inequality for operators in non-divergence form structured on Heisenberg vector fields when the coe?cient matrix is uniformly positive definite, continuous, and symplectic. The method consists in constructing appropriate barriers to obtain pointwise-to-measure estimates for supersolutions in small balls, and then invoking the axiomatic approach developed by Di Fazio, Gutiérrez, and Lanconelli to obtain Harnack’s inequality. 相似文献
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In the present paper, we aim to investigate the existence of solutions for the quasilinear boundary value problem involving fractional operators in the ψ-fractional space H([0, T],R) with asymmetric nonlinearities. 相似文献
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本文得到了一类具有小BMO系数的非散度型椭圆方程解的局部W2,p(p≥2) 正则性结果,并给出了这个结果的一个应用. 相似文献
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Omar Bazighifan 《Mathematical Methods in the Applied Sciences》2020,43(17):10276-10286
Fourth-order advanced differential equations naturally appear in models concerning physical, biological, chemical phenomena applications. The aim of this paper is to study the oscillatory properties of fourth-order advanced differential equations with p-Laplacian like operators. We obtain some oscillation criteria for the equation by the theory of comparison. The obtained results improve the well-known oscillation results in the literature. Some examples to illustrate the results are given. 相似文献
10.
Zhao Junning Liang Zhilei 《偏微分方程(英文版)》2008,21(2):134-140
In this note we consider the blow-up rate of solutions for p-Laplacian equation with nonlinear source, ut = div(|↓△u|p-2↓△u)+uq, (x, t) ∈ RN × (0, T), N ≥ 1. When q 〉 p - 1, the blow-up rate of solutions is studied. 相似文献
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Ma Dexiang 《Annals of Differential Equations》2005,21(3):373-377
By employing Mawhin's continuation theorem, the existence of solution for a p-Laplacian equation with nonlinear boundary conditions is obtained under simple assumptions. 相似文献
13.
Asymptotic behavior of the solutions of the p-Laplacian equation 总被引:1,自引:0,他引:1
ZHANG Liqin & ZHAO Junning Department of Mathematics Xiamen University Xiamen China 《中国科学A辑(英文版)》2006,49(6)
The asymptotic behavior of the solutions for p-Laplacian equations as p→∞ is studied. 相似文献
14.
本文将研究一般区域上高维p-Laplacian方程保号解的存在性:{u(x)=0,x∈ЭΩ,-div(φp(■u))=a(x)φp(u++β(x)φp(u-)+ra(x)f(u)),x∈Ω,其中Ω是RN中一个有界且在其边界上光滑的区域,N≥2,1
p-2s,a(x)∈C(Ω,(0,+∞)),u+=max{u,0},u-=-min{u,0},a{x},β(x)∈C(Ω);f∈C(R,R)对于s>0,sf(s)>0成立.当f0■(0,∞)或f∞∈(0,∞)(其中f0=|s|→0limf(s)/φp(s),f∞=|s|→+∞limf(s)/φp(s)),且r≠0属于一定区间时,可以获得上述高维p-Laplacian方程保号解的存在性.我们用全局分歧技巧和连通序列集取极限的方法获得主要结果. 相似文献
15.
本文将研究一般区域上高维p-Laplacian方程保号解的存在性:{u(x)=0,x∈ЭΩ,-div(φp(■u))=a(x)φp(u++β(x)φp(u-)+ra(x)f(u)),x∈Ω,其中Ω是RN中一个有界且在其边界上光滑的区域,N≥2,1
p-2s,a(x)∈C(Ω,(0,+∞)),u+=max{u,0},u-=-min{u,0},a{x},β(x)∈C(Ω);f∈C(R,R)对于s>0,sf(s)>0成立.当f0■(0,∞)或f∞∈(0,∞)(其中f0=|s|→0limf(s)/φp(s),f∞=|s|→+∞limf(s)/φp(s)),且r≠0属于一定区间时,可以获得上述高维p-Laplacian方程保号解的存在性.我们用全局分歧技巧和连通序列集取极限的方法获得主要结果. 相似文献
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In this paper,the author studies the boundary value problems for a p-Laplacian functional difference equation.By using a fixed point theorem in cones,sufficient conditions are established for the existence of the positive solutions. 相似文献
17.
Qi Wang Dicheng Lu 《Annals of Differential Equations》2014,(4):432-437
In this paper, we study a nonlinear Dirichlet boundary value problem for difference equations involving the p-Laplacian with two positive parameters. One result on the existence of at least three solutions for this problem is obtained using critical point theory. 相似文献
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本文研究了Cauchy问题(1.1),(1.2)的可解性及解的性质,得到了为使问题(1.1),(1.2)存在局部解、初值u0应满足的可积性及增长性的充分和必要条件.此外,还讨论了一些临界情况和解的唯一性问题. 相似文献
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Cheng He 《数学学报(英文版)》1999,15(2):153-164
By making full use of the estimates of solutions to nonstationary Stokes equations and the method discussing global stability,
we establish the global existence theorem of strong solutions for Navier-Stokes equatios in arbitrary three dimensional domain
with uniformlyC
3 boundary, under the assumption that |a|
L
2(Θ) + |f|
L
1(0,∞;L
2(Θ)) or |∇a|
L
2(Θ) + |f|
L
2(0,∞;L
2(Θ)) small or viscosityv large. Herea is a given initial velocity andf is the external force. This improves on the previous results. Moreover, the solvability of the case with nonhomogeneous boundary
conditions is also discussed.
This work is supported by foundation of Institute of Mathematics, Academia Sinica 相似文献