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On the two-phase me...
On the two-phase membrane problem with coefficients below the Lipschitz threshold
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- Lindgren, Erik (författare)
- KTH,Matematik (Avd.)
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- Shahgholian, Henrik (författare)
- KTH,Matematik (Avd.)
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- Edquist, Anders (författare)
- KTH,Matematik (Avd.)
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KTH Matematik (Avd) (creator_code:org_t)
- European Mathematical Society - EMS - Publishing House GmbH, 2009
- 2009
- Engelska.
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Ingår i: Annales de l'Institut Henri Poincare. Analyse non linéar. - : European Mathematical Society - EMS - Publishing House GmbH. - 0294-1449 .- 1873-1430. ; 26:6, s. 2359-2372
- Relaterad länk:
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http://dx.doi.org/10...
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visa fler...
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https://doi.org/10.1...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We study the regularity of the two-phase membrane problem, with coefficients below the Lipschitz threshold. For the Lipschitz coefficient case one can apply a monotonicity formula to prove the C-1,C-1-regularity of the solution and that the free boundary is, near the so-called branching points, the union of two C-1-graphs. In our case, the same monotonicity formula does not apply in the same way. In the absence of a monotonicity formula, we use a specific scaling argument combined with the classification of certain global solutions to obtain C-1,C-1-estimates. Then we exploit some stability properties with respect to the coefficients to prove that the free boundary is the union of two Reifenberg vanishing sets near so-called branching points.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- FREE-BOUNDARY PROBLEMS; OBSTACLE-PROBLEM; DIFFERENTIAL EQUATIONS; 2 PHASES; REGULARITY
- MATHEMATICS
- MATEMATIK
Publikations- och innehållstyp
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- art (ämneskategori)
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