Results 71 to 80 of about 179 (164)
A New Approach to the Rayleigh-Taylor Instability. [PDF]
Gebhard B, Kolumbán JJ, Székelyhidi L.
europepmc +1 more source
In this article, we study the $\omega$-diffusion equation on a graph with Dirichlet boundary conditions $$\displaylines{ u_t(x,t)=\Delta_{\omega}u(x,t)+e^{\beta t}u^{p}(x,t), \quad (x,t)\in S\times(0,\infty), \cr u(x,t)=0, \quad (x,t)\in \partial S ...
Weican Zhou, Miaomiao Chen, Wenjun Liu
doaj
Asymptotic paths for subsolutions of quasilinear elliptic equations [PDF]
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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Solving the Large-Scale TSP Problem in 1 h: Santa Claus Challenge 2020. [PDF]
Mariescu-Istodor R, Fränti P.
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Let be a divergence form operator with Lipschitz continuous coefficients in a domain , and let be a continuous weak solution of in . In this paper, we show that if satisfies a suitable differential inequality, then is a subsolution of away from ...
Salsa Sandro, Ferrari Fausto
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Kołodziej's subsolution theorem for unbounded pseudoconvex domains
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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Subsolution theorem for the complex Hessian equation
We prove the subsolution theorem for the complex Hessian equations in a smoothly bounded strongly $m$-pseudoconvex domain, $1 < m < n$, in $\bC^n$.
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On a greedy approach for genome scaffolding. [PDF]
Davot T +4 more
europepmc +1 more source
Existence of large solutions for a semilinear elliptic problem via explosive sub- supersolutions
We consider the boundary blow-up nonlinear elliptic problems $Delta upmlambda | abla u|^q=k(x)g(u)$ in a bounded domain with boundary condition $u|_{partial Omega}=+infty$, where $qin [0, 2]$ and $lambdageq0$. Under suitable growth assumptions on $k$
Zhijun Zhang
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A subsolution-supersolution method for quasilinear systems
Summary: Assuming that a system of quasilinear equations of gradient type admits a strict supersolution and a strict subsolution, we show that it also admits a positive solution.
Dimitrios A. Kandilakis +1 more
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