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arXiv · 1810.12230

A priori estimates for elliptic equations with reaction terms involving the function and its gradient

Marie-Françoise Bidaut-Véron·Marta Garcia-Huidobro·Laurent Veron
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Abstract

We study local and global properties of solutions of --$Δ$u = u p + M ||u| q in a domain $Ω$ of R N , in the range min{p, q} > 1 and M $\in$ R. We prove a priori estimates and existence or non-existence of ground states.

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Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Veron. 2019-07-26. A priori estimates for elliptic equations with reaction terms involving the function and its gradient. https://arxiv.org/abs/1810.12230

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