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Qualitative properties of blow-up solutions to some semilinear elliptic systems in non-convex domains |
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| Abstract: | In this paper we study qualitative properties of boundary blow-up solutions to some semilinear elliptic cooperative systems in bounded non-convex domains. In particular, by a careful adaptation of the celebrated moving plane procedure of Alexandrov–Serrin, we deduce symmetry and monotonicity results for blow-up solutions for this class of systems. |
| Keywords: | Cooperative elliptic systems Boundary blow-up Large solutions Symmetry of solutions Radial symmetry Moving plane method |
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