caa a22 4500 605461279 CHVBK 20210128100242.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s10114-015-4419-x doi (NATIONALLICENCE)springer-10.1007/s10114-015-4419-x Consiglieri Luisa 1600-256, Lisbon, European Union aut Explicit estimates for solutions of nonlinear radiation-type problems [Elektronische Daten] [Luisa Consiglieri] 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. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Elliptic equation nationallicence estimate nationallicence regularity nationallicence radiation-type boundary condition nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/7(2015-07-01), 1123-1140 1439-8516 31:7<1123 2015 31 10114 https://doi.org/10.1007/s10114-015-4419-x text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-4419-x text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Consiglieri Luisa 1600-256, Lisbon, European Union aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/7(2015-07-01), 1123-1140 1439-8516 31:7<1123 2015 31 10114