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
openaire +2 more sources
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 ...
openaire +2 more sources
Positive evanescent solutions of singular elliptic problems in exterior domains
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
Growth of Subsolutions of $$\Delta _p u = V|u|^{p-2}u$$ and of a General Class of Quasilinear Equations [PDF]
Luis J. Alı́as +2 more
openalex +1 more source
A Phragmén — Lindelöf principle for subsolutions of quasi — linear equations
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
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]
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
Local estimates for subsolutions and supersolutions of oblique derivative problems for general second order elliptic equations [PDF]
Gary M. Lieberman
openalex +1 more source
Monotonicity and uniqueness of traveling waves in bistable systems with delay
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
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

