Existence and a priori estimate for elliptic problems with subquadratic gradient dependent termsReport as inadecuate




Existence and a priori estimate for elliptic problems with subquadratic gradient dependent terms - Download this document for free, or read online. Document in PDF available to download.

1 Centre Universitaire de Bourges 2 LJLL - Laboratoire Jacques-Louis Lions 3 Dipartimento di Matematica

Abstract : In this Note we prove an a priori estimate and the existence of a solution for a class of nonlinear elliptic problems whose model is - divAxDu + α0 u = γ|Du|q + fx, when 1 < q < 2 and f∈LmΩ for some suitable m. The main interest of the result lies in the a priori estimate, the complete proof of which is given in the Note.





Author: Nathalie Grenon - François Murat - Alessio Porreta -

Source: https://hal.archives-ouvertes.fr/



DOWNLOAD PDF




Related documents