A Strong Maximum Principle for a Noncooperative Elliptic System

DOI10.1137/0520023zbMath0682.35016OpenAlexW2078522295MaRDI QIDQ4731524

Guido Sweers

Publication date: 1989

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0520023

zbMATH Keywords

cooperative and noncooperative systems

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50)

Related Items

Comparison principle for non-cooperative elliptic systems ⋮ On the lifetime of a conditioned Brownian motion in the ball ⋮ On sign preservation for clotheslines, curtain rods, elastic membranes and thin plates ⋮ A hinged plate equation and iterated Dirichlet Laplace operator on domains with concave corners ⋮ Further results on maximum principles for noncooperative elliptic systems ⋮ Initial-boundary value problems for coupled systems of time-fractional diffusion equations ⋮ Positive splutions of semilinear elliptic systems ⋮ Positivity for the Navier bilaplace, an anti-eigenvalue and an expected lifetime ⋮ A comparison result for perturbed radial \(p\)-Laplacians. ⋮ Comparison Principle for Non-cooperative Elliptic Systems and Applications ⋮ Semi-linear cooperative elliptic systems involving Schr{\"o}dinger operators: Groundstate positivity or negativity ⋮ Strong positivity in \(C(\bar\Omega)\) for elliptic systems ⋮ A noncooperative elliptic system with p-Laplacians that preserves positivity ⋮ Positivity for a strongly coupled elliptic system by Green function estimates