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Descripción
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| Let Ω be an open bounded smooth subset of R^{N}, N≥2. We introduce a new type of nonlinear elliptic problems (P) A(u)=μ(⋅,u) and <μ(⋅,u),ϕ>=∫_{∂u⁻¹({1})}ϕ(y)q(y)dH_{N-1}(y) for all ϕ∈C(Ω)∩V, where ∂u⁻¹({1})=∂{x∈Ω:u(x)=1}. (V, ‖⋅‖) is a reflexive Banach space of dual V′ and such that V↪C(Ω) with compact embedding. A is a pseudomonotone, coercive, bounded and strongly--weakly continuous operator Br from V into V′. q is a positive continuous function on Ω and H_{N-1} is the N-1 dimensional Hausdorff measure. In contrast with the usual elliptic problems, the Radon measure μ is an unknown of the problem depending on the solution u. A particular cases of this type problems can be understood as a particular case of the Bernoulli problem. We study the existence of solution and for the one dimesional case case, we will identify the measure. | |
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Internacional
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Si |
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Nombre congreso
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6th ICIAM (Internacional Congreso on Industrial and Applied Mathematics) |
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Tipo de participación
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960 |
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Lugar del congreso
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Zurich, Suiza |
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Revisores
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Si |
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ISBN o ISSN
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ISSN: 1617-7061 |
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DOI
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Fecha inicio congreso
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16/07/2007 |
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Fecha fin congreso
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20/07/2007 |
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