Explicit estimates for solutions of nonlinear radiation-type problems |
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Authors: | Luisa Consiglieri |
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Institution: | Independent Researcher Professor, 1600-256 Lisbon, European Union |
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Abstract: | We establish the existence of weak solutions of a nonlinear radiation-type boundary value problem for elliptic equation on divergence form with discontinuous leading coefficient. Quantitative estimates play a crucial role on the real applications. Our objective is the derivation of explicit expressions of the involved constants in the quantitative estimates, the so-called absolute or universal bounds. The dependence on the leading coefficient and on the size of the spatial domain is precise. This work shows that the expressions of those constants are not so elegant as we might expect. |
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Keywords: | Elliptic equation estimate regularity radiation-type boundary condition |
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