A priori estimates for elliptic equations with reaction terms involving the function and its gradient - Archive ouverte HAL Access content directly
Journal Articles Mathematische Annalen Year : 2018

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

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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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Dates and versions

hal-01906697 , version 1 (27-10-2018)
hal-01906697 , version 2 (09-07-2019)

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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, 2018, 378, pp.13-56. ⟨10.1007/s00208-019-01872-x⟩. ⟨hal-01906697v2⟩
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