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Title:
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Positive solutions of nonlinear problems involving the square root of the Laplacian
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Author:
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Cabré, Xavier; Tan, Jinggang
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Other authors:
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Centre de Recerca Matemàtica |
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Resum:
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We consider nonlinear elliptic problems involving a nonlocal operator: the square root of the Laplacian in a bounded domain with zero Dirichlet boundary conditions. For positive solutions to problems with power
nonlinearities, we establish existence and regularity results, as well as a priori
estimates of Gidas-Spruck type. In addition, among other results, we prove a symmetry theorem of Gidas-Ni-Nirenberg type. |
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Publication date:
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2009-05 |
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Subject (UDC):
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517 - Anàlisi |
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Subject(s):
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Equacions diferencials parcials
Funcions harmòniques |
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Rights:
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Aquest document està subjecte a una llicència d'ús de Creative Commons, amb la qual es permet copiar, distribuir i comunicar públicament l'obra sempre que se'n citin l'autor original, la universitat i el centre i no se'n faci cap ús comercial ni obra derivada, tal com queda estipulat en la llicència d'ús (http://creativecommons.org/licenses/by-nc-nd/2.5/es/) |
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Document type:
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Preprint |
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