arXiv Analytics

Sign in

arXiv:1810.12230 [math.AP]AbstractReferencesReviewsResources

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

Marie-Françoise Bidaut-Véron, Marta Garcia-Huidobro, Laurent Veron

Published 2018-10-29Version 1

We study local and global properties of solutions of --$\Delta$u = u p + M ||u| q in a domain $\Omega$ 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.

Categories: math.AP
Subjects: 35J62
Related articles: Most relevant | Search more
arXiv:1709.05537 [math.AP] (Published 2017-09-16)
A priori estimates for some elliptic equations involving the $p$-Laplacian
arXiv:1711.00879 [math.AP] (Published 2017-11-02)
Weighted a priori estimates for elliptic equations
arXiv:1904.08856 [math.AP] (Published 2019-04-18)
Geometric regularity for elliptic equations in double-divergence form

Links

Toolbox