MAXIMUM PRINCIPLES AROUND AN EIGENVALUE WITH CONSTANT EIGENFUNCTIONS
2008 ◽
Vol 10
(06)
◽
pp. 1243-1259
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Keyword(s):
A class of linear operators L + λI between suitable function spaces is considered, when 0 is an eigenvalue of L with constant eigenfunctions. It is proved that L + λI satisfies a strong maximum principle when λ belongs to a suitable pointed left-neighborhood of 0, and satisfies a strong uniform anti-maximum principle when λ belongs to a suitable pointed right-neighborhood of 0. Applications are given to various types of ordinary or partial differential operators with periodic or Neumann boundary conditions.
2020 ◽
Vol 28
(2)
◽
pp. 237-241
Keyword(s):
2013 ◽
Vol 265
(3)
◽
pp. 375-398
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Keyword(s):
2018 ◽
Vol 145
◽
pp. 01009
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Analyzing and visualizing a discretized semilinear elliptic problem with Neumann boundary conditions
2002 ◽
Vol 18
(3)
◽
pp. 261-279
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1987 ◽
Vol 105
(1)
◽
pp. 117-126
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2009 ◽
Vol 30
(3-4)
◽
pp. 199-213
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Keyword(s):
2009 ◽
Vol 16
(1)
◽
pp. 79-107
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Keyword(s):