On Some Maximum Principles Involving Harmonic Functions and Their Derivatives

DOI10.1137/0510012zbMath0402.35014OpenAlexW2035724419MaRDI QIDQ4186713

G. A. Philippin, Lawrence E. Payne

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1137/0510012

zbMATH Keywords

Green's FunctionMaximum PrincipleHarmonic FunctionsLaplace OperatorElectrostaticsForce Field

Mathematics Subject Classification ID

Maximum principles in context of PDEs (35B50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Second-order elliptic equations (35J15) Potentials and capacities, extremal length and related notions in higher dimensions (31B15)

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