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Anisotropic equations in weighted Sobolev spaces of higher order
Journal article   Peer reviewed

Anisotropic equations in weighted Sobolev spaces of higher order

M. Chrif and S. El Manouni
Ricerche di matematica, Vol.58(1), pp.1-14
01/06/2009
DOI: https://doi.org/10.1007/s11587-009-0045-1

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
We consider the strongly nonlinear boundary value problem, Au + g( x, u) = f where A is an elliptic operator of finite or infinite order. We introduce anisotropic weighted Sobolev spaces and we show under a certain sign condition of the Caratheodory function g without assuming any growth restrictions, the existence of the weak solutions.

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