On the solvability of a variational inequality problem and application to a problem of two membranes
2001 ◽
Vol 25
(9)
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pp. 603-608
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Keyword(s):
The purpose of this work is to give a continuous convex function, for which we can characterize the subdifferential, in order to reformulate a variational inequality problem: findu=(u1,u2)∈Ksuch that for allv=(v1,v2)∈K,∫Ω∇u1∇(v1−u1)+∫Ω∇u2∇(v2−u2)+(f,v−u)≥0as a system of independent equations, wherefbelongs toL2(Ω)×L2(Ω)andK={v∈H01(Ω)×H01(Ω):v1≥v2 a.e. inΩ}.
2001 ◽
Vol 25
(4)
◽
pp. 273-287
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2015 ◽
Vol 25
(4)
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pp. 2120-2142
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Keyword(s):
2019 ◽
Vol 7
(2)
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pp. 15
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2010 ◽
Vol 216
(12)
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pp. 3439-3449
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1991 ◽
Vol 158
(1)
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pp. 139-160
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1994 ◽
Vol 28
(4)
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pp. 93-97
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