Blow-Up and Global Existence for a Degenerate Parabolic System with Nonlocal Sources
Discrete Dynamics in Nature and Society, 2012 This paper investigates the blow-up and global existence of nonnegative solutions for a class of nonlocal degenerate parabolic system. By using the super- and subsolution techniques, the critical exponent of the system is determined. That is, if Pc=p1q1−(
Ling Zhengqiu, Wang Zejia
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Importance sampling for Markovian tandem queues using subsolutions: exploring the possibilities [PDF]
, 2021 Anne Buijsrogge +2 more
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When rational sections become cyclic — Gauge enhancement in F-theory via Mordell-Weil torsion
Journal of High Energy Physics, 2018 We explore novel gauge enhancements from abelian to non-simply-connected gauge groups in F-theory. To this end we consider complex structure deformations of elliptic fibrations with a Mordell-Weil group of rank one and identify the conditions under which
Florent Baume +3 more
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A New Approach to the Rayleigh-Taylor Instability. [PDF]
Arch Ration Mech Anal, 2021 Gebhard B, Kolumbán JJ, Székelyhidi L.
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The Chirka–Lindelöf and Fatou theorems for $\overline\partial_J$-subsolutions
Revista Matemática Iberoamericana, 2020 This paper studies boundary properties of bounded functions with bounded \overline\partial_J differential on strictly pseudoconvex domains in an almost complex manifold.
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Existence and nonexistence results for quasilinear semipositone Dirichlet problems
Electronic Journal of Differential Equations, 2009 We use the sub/supersolution method to analyze a semipositone Dirichlet problem for the p-Laplacian. To find a positive solution, we therefore focus on a related problem that produces positive subsolutions.
Matthew Rudd
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The Obstacle Problem for the A-Harmonic Equation
Journal of Inequalities and Applications, 2010 Firstly, we define an order for differential forms. Secondly, we also define the supersolution and subsolution of the A-harmonic equation and the obstacle problems for differential forms which satisfy the A-harmonic equation, and we obtain the relations ...
Zhenhua Cao, Gejun Bao, Haijing Zhu
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The existence of positive solution for singular Kirchhoff equation with two parameters
Boundary Value Problems, 2019 In this paper, we consider the singular Kirchhoff equation with two parameters {−a(∫Ω|∇u(x)|2dx)△u(x)+K(x)g(u)=λf(x,u)+μh(x)in Ω,u>0in Ω,u=0on ∂Ω. $$\textstyle\begin{cases} -a ( \int_{\varOmega}|\nabla u(x)|^{2}\,dx )\triangle u(x)+K(x)g(u)=\lambda f(x,u)
Ke Di, Baoqiang Yan
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Asymptotic paths for subsolutions of quasilinear elliptic equations [PDF]
Manuscripta Mathematica, 1988 Let A: \({\mathbb{R}}^ n\times {\mathbb{R}}^ n\to {\mathbb{R}}^ n\) be a Carathéodory function satisfying the following assumptions for some numbers ...
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Kołodziej's subsolution theorem for unbounded pseudoconvex domains
, 2012 The main result of the paper under review is the following theorem: Let \(\Omega\subset{\mathbb C}^n\) be a possibly unbounded pseudoconvex domain and \(u\in\mathcal D(\Omega)\) be such that the smallest maximal plurisubharmonic majorant \(\widetilde u\) of \(u\) exists. If \(\mu\) is a positive Radon measure on \(\Omega\) such that \(\mu\leq(dd^cu)^n\)
Åhag, Per, Czyż, Rafał
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