Maximum principles for a class of first-order elliptical systems

DOI10.1016/0022-0396(77)90174-7zbMath0351.35007OpenAlexW2089919986MaRDI QIDQ1235314

Gerald N. Hile, Murray H. Protter

Publication date: 1977

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(77)90174-7

Mathematics Subject Classification ID

Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items

Problème de Dirichlet pour certains systèmes couples au premier ordre, On the definition of ellipticity for systems of partial differential equations, Maximum principles for elliptic systems, Representations of solutions of a special class of first order systems, Properties of overdetermined first order elliptic systems, Criteria for validity of the maximum modulus principle for solutions of linear strongly elliptic second order systems, Some maximum principles for nonlinear elliptic equations in divergence form with applications to capillary surfaces and to surfaces of constant mean curvature, The hilbert problem for hyperanalytic functions, Beltrami equations and generalizations in clifford analysis, A maximum principle for generalized analytic vectors, Fundamental solutions of a class of first-order linear elliptic systems

Cites Work

• A Maximum Principle for n-Metaharmonic Functions
• Strong maximum principles for weakly coupled systems of quasilinear parabolic inequalities
• Note on An Algebraic Theorem of Eddington
• On Matrices Whose Real Linear Combinations are Nonsingular
• A function‐theoretic approach to elliptic systems of equations in two variables
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