Abstract
Concerning the obstacle-problem-like equation \(\Delta u = \frac{{\lambda _ + }} {2}\chi \left\{ {u > 0} \right\} - \frac{{\lambda _ - }} {2}\chi \left\{ {u < 0} \right\} \), where λ+> 0 and λ-> 0, we give a complete characterization of all global two-phase solutions with quadratic growth both at 0 and infinity.
H. Shahgholian was partially supported by the Swedish Research Council. N. Uraltseva was supported by the Russian foundation of fundamental research. G. Weiss was partially supported by a Grant-in-Aid for Scientific Research, Ministry of Education. Japan
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© 2004 Springer-Verlag Wien
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Shahgholian, H., Uraltseva, N., Weiss, G.S. (2004). Global Solutions of an Obstacle-Problem-Like Equation with Two Phases. In: Jüngel, A., Manasevich, R., Markowich, P.A., Shahgholian, H. (eds) Nonlinear Differential Equation Models. Springer, Vienna. https://doi.org/10.1007/978-3-7091-0609-9_4
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DOI: https://doi.org/10.1007/978-3-7091-0609-9_4
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