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Payne, L. E.; Philippin, G. A.

On some maximum principles involving harmonic functions and their derivatives. (English) Zbl 0402.35014

SIAM J. Math. Anal. 10, 96-104 (1979).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0402.35014

Cited in 2 Reviews
Cited in 17 Documents

MSC:

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

Keywords:

Maximum Principle; Harmonic Functions; Green’s Function; Force Field; Electrostatics; Laplace Operator
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