Some estimates and maximum principles for weakly coupled systems of elliptic PDE

DOI10.1016/j.na.2008.12.026zbMath1173.35391OpenAlexW2093230588MaRDI QIDQ1017739

Boyan Sirakov

Publication date: 12 May 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.12.026

zbMATH Keywords

maximum principlesnon-divergence formHarnak type estimatesweakly coupled system of PDE

Mathematics Subject Classification ID

Related Items (14)

On the rate of convergence of solutions in free boundary problems via penalization ⋮ A symmetry result for cooperative elliptic systems with singularities ⋮ On the monotonicity property of the generalized eigenvalue for weakly-coupled cooperative elliptic systems ⋮ Periodic homogenization of a class of weakly coupled systems of linear PDEs ⋮ Symmetry and rigidity for the hinged composite plate problem ⋮ Monotone difference schemes for weakly coupled elliptic and parabolic systems ⋮ The weak maximum principle for a class of strongly coupled elliptic differential systems ⋮ Symmetry results of large solutions for semilinear cooperative elliptic systems ⋮ Adaptation in a heterogeneous environment I: persistence versus extinction ⋮ A maximum principle for some nonlinear cooperative elliptic PDE systems with mixed boundary conditions ⋮ Normalized solutions to the mixed dispersion nonlinear Schrödinger equation in the mass critical and supercritical regime ⋮ Sectional symmetry of solutions of elliptic systems in cylindrical domains ⋮ On ergodic control problem for viscous Hamilton-Jacobi equations for weakly coupled elliptic systems ⋮ Ergodic risk-sensitive control for regime-switching diffusions

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