Concavity properties of solutions to Robin problems
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作者:
Crasta, Graziano
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Sapienza Univ Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 5, I-00185 Rome, ItalySapienza Univ Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 5, I-00185 Rome, Italy
Crasta, Graziano
[1
]
Fragala, Ilaria
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Dipartimento Matemat, Piazza Leonardo da VInci 32, I-20133 Milan, ItalySapienza Univ Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 5, I-00185 Rome, Italy
Fragala, Ilaria
[2
]
机构:
[1] Sapienza Univ Roma, Dipartimento Matemat G Castelnuovo, Ple A Moro 5, I-00185 Rome, Italy
[2] Dipartimento Matemat, Piazza Leonardo da VInci 32, I-20133 Milan, Italy
We prove that the Robin ground state and the Robin torsion function are respectively log-concave and 1/2-concave on an uniformly convex domain Omega subset of R-N of class (Cm), with [m - N/2] >= 4, provided the Robin parameter exceeds a critical threshold. Such threshold depends on N, m, and on the geometry of Omega, precisely on the diameter and on the boundary curvatures up to order m.
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Univ British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, CanadaUniv British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
Chau, Albert
Weinkove, Ben
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Northwestern Univ, Dept Math, Evanston, IL 60208 USAUniv British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
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Laboratoire de Mathématiques Raphaёl Salem, CNRS, UMR 6085, Université de Rouen,Avenue de l'UniversitéLaboratoire de Mathématiques Raphaёl Salem, CNRS, UMR 6085, Université de Rouen,Avenue de l'Université
Olivier GUIB
Alip OROPEZA
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Laboratoire de Mathématiques Raphaёl Salem, CNRS, UMR 6085, Université de Rouen,Avenue de l'Université
University of the Philippines Diliman, Institute of MathematicsLaboratoire de Mathématiques Raphaёl Salem, CNRS, UMR 6085, Université de Rouen,Avenue de l'Université
机构:
Univ Rouen, CNRS, UMR 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, FranceUniv Rouen, CNRS, UMR 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, France
Guibe, Olivier
Oropeza, Alip
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h-index: 0
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Univ Rouen, CNRS, UMR 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, France
Univ Philippines Diliman, Inst Math, Quezon City 1101, PhilippinesUniv Rouen, CNRS, UMR 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, France
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Univ Tokyo, Grad Sch Math Sci, 3-8-1 Komaba,Meguro Ku, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, 3-8-1 Komaba,Meguro Ku, Tokyo 1538914, Japan
机构:
Univ British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, CanadaUniv British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
Chau, Albert
Weinkove, Ben
论文数: 0引用数: 0
h-index: 0
机构:
Northwestern Univ, Dept Math, Evanston, IL 60208 USAUniv British Columbia, Dept Math, 1984 Math Rd, Vancouver, BC V6T 1Z2, Canada
机构:
Laboratoire de Mathématiques Raphaёl Salem, CNRS, UMR 6085, Université de Rouen,Avenue de l'UniversitéLaboratoire de Mathématiques Raphaёl Salem, CNRS, UMR 6085, Université de Rouen,Avenue de l'Université
Olivier GUIB
Alip OROPEZA
论文数: 0引用数: 0
h-index: 0
机构:
Laboratoire de Mathématiques Raphaёl Salem, CNRS, UMR 6085, Université de Rouen,Avenue de l'Université
University of the Philippines Diliman, Institute of MathematicsLaboratoire de Mathématiques Raphaёl Salem, CNRS, UMR 6085, Université de Rouen,Avenue de l'Université
机构:
Univ Rouen, CNRS, UMR 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, FranceUniv Rouen, CNRS, UMR 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, France
Guibe, Olivier
Oropeza, Alip
论文数: 0引用数: 0
h-index: 0
机构:
Univ Rouen, CNRS, UMR 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, France
Univ Philippines Diliman, Inst Math, Quezon City 1101, PhilippinesUniv Rouen, CNRS, UMR 6085, Lab Math Raphael Salem, Ave Univ,BP 12, F-76801 St Etienne Du Rouvray, France
机构:
Univ Tokyo, Grad Sch Math Sci, 3-8-1 Komaba,Meguro Ku, Tokyo 1538914, JapanUniv Tokyo, Grad Sch Math Sci, 3-8-1 Komaba,Meguro Ku, Tokyo 1538914, Japan