Results 81 to 90 of about 232 (181)

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

Electronic 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, Thomas Lewis, Nsoki Mavinga   +2 more
doaj  

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
doaj  

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, Mirjam Cvetič, Craig Lawrie, Ling Lin   +3 more
doaj   +1 more source

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 ...
openaire   +2 more sources

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
doaj   +1 more source

On subsolutions and concavity for fully nonlinear elliptic equations

Advanced Nonlinear Studies
Subsolutions and concavity play critical roles in classical solvability, especially a priori estimates, of fully nonlinear elliptic equations. Our first primary goal in this paper is to explore the possibility to weaken the concavity condition.
Guan Bo
doaj   +1 more source

Perspective Shape-from-Shading Problem: A Unified Convergence Result for Several Non-Lambertian Models. [PDF]

J Imaging, 2022
Tozza S.
europepmc   +1 more source

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
openaire   +2 more sources

A reduction method for proving the existence of solutions to elliptic equations involving the p-laplacian

Electronic Journal of Differential Equations, 2003
We introduce a reduction method for proving the existence of solutions to elliptic equations involving the p-Laplacian operator. The existence of solutions is implied by the existence of a positive essentially weak subsolution on a manifold and the ...
Mohamed Benalili, Youssef Maliki
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Compatibility of state constraints and dynamics for multiagent control systems. [PDF]

J Evol Equ, 2021
Cavagnari G, Marigonda A, Quincampoix M.
europepmc   +1 more source