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Dead cores and bursts for p-Laplacian elliptic equations with weights

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  • In this paper we consider p-Laplace elliptic equations with weights on domains of $\mathbb{R}^n$, which include several prototypes, and we show that there exist a dead core solution having a burst within the core. This result is obtained by using an existence theorem for ground states having compact support, proved in [4] by the authors, together with qualitative properties and an existence theorem for dead core solutions contained in a recent work of Pucci and Serrin, see [10].
    Mathematics Subject Classification: Primary, 35 J 15, Secondary, 35 J 70.

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