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

Abstract : We study local and global properties of solutions of −∆u = u p + M ||u| q in a domain Ω of R N , in the range min{p, q} > 1 and M ∈ R. We prove a priori estimates and existence or non-existence of ground states.
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Submitted on : Tuesday, July 9, 2019 - 12:05:33 PM
Last modification on : Tuesday, August 13, 2019 - 2:30:11 PM

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  • HAL Id : hal-01906697, version 2
  • ARXIV : 1810.12230

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Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Veron. A priori estimates for elliptic equations with reaction terms involving the function and its gradient. Mathematische Annalen, Springer Verlag, In press. ⟨hal-01906697v2⟩

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