Results 81 to 90 of about 412 (197)

Kołodziej's subsolution theorem for unbounded pseudoconvex domains

open access: yes, 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
openaire   +2 more sources

Asymptotic paths for subsolutions of quasilinear elliptic equations [PDF]

open access: yesManuscripta 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 ...
openaire   +2 more sources

Positive evanescent solutions of singular elliptic problems in exterior domains

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2016
We investigate the existence of positive solutions for the following class of nonlinear elliptic problems \[\operatorname{div}(a(\|x\|)\nabla u(x))+f(x,u(x))-(u(x))^{-\alpha}\|\nabla u(x)\|^{\beta}+g(\|x\|)x\cdot\nabla u(x)=0,\] where $x\in\mathbb{R}^{n}$
Aleksandra Orpel
doaj   +1 more source

A Phragmén — Lindelöf principle for subsolutions of quasi — linear equations

open access: yesmanuscripta mathematica, 1981
Quasi — linear elliptic equations of homogeneous type are studied in this paper. The equation satisfies uniform ellipticity and growth conditions. A Phragmen — Lindelof principle is proved by a combined technique of Ladyženskaya-Ural'ceva and Moser.
openaire   +2 more sources

Existence of maximal and minimal weak solutions and finite difference approximations for elliptic systems with nonlinear boundary conditions

open access: yesElectronic Journal of Differential Equations
We establish the existence of maximal and minimal weak solutions between ordered pairs of weak sub- and super-solutions for a coupled system of elliptic equations with quasimonotone nonlinearities on the boundary.
Shalmali Bandyopadhyay   +2 more
doaj  

ANALYSIS OF STRUCTURAL CHANGES OF THE BALANCE SHEET ECOLOGICAL-ECONOMIC MODELS OF THE “INPUT-OUTPUT” TYPE [PDF]

open access: yesJournal of Mechanics of Continua and Mathematical Sciences
The purpose of the research is to develop methods, algorithms, and computational procedures of analysis, and solution (subsolution) of problems during changes at the stages of ecological and economic modelling of processes.
V. Kudin, A. Onyshchenko, E. Rostomian
doaj   +1 more source

Monotonicity and uniqueness of traveling waves in bistable systems with delay

open access: yesElectronic Journal of Differential Equations, 2014
This article establishes the monotonicity, uniqueness and Liapunov stability of traveling waves for bistable systems with delay. We use an elementary super-subsolution comparison method and a moving plane technique.
Yun-Rui Yang, Nai-Wei Liu
doaj  

Traveling waves in lattice differential equations with distributed maturation delay

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2013
In this paper we derive a lattice model with infinite distributed delay to describe the growth of a single-species population in a 2D patchy environment with infinite number of patches connected locally by diffusion and global interaction.
Hui-Ling Niu, Zhi-Cheng Wang
doaj   +1 more source

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