QUASILINEAR EQUATIONS WITH DISCONTINUOUS COEFFICIENTS

Maria Alessandra Ragusa

Title	QUASILINEAR EQUATIONS WITH DISCONTINUOUS COEFFICIENTS
Publication Type	Journal Article
Year of Publication	2005
Authors	Ragusa, MAlessandra
Volume	9
Issue	3
Start Page	337
Pagination	6
Date Published	2005
ISSN	1083-2564
AMS	31B10, 32A37, 35K20, 43A15, 46E35
Abstract	In this paper, using Aleksandrov-Pucci maximum principle, we prove an ${ L^∞ }$ a priori estimate and also uniqueness for weak solution ${u}$ of a Dirichlet problem associated to quasilinear strictly elliptic equations with Charatheodory’s coefficients. The results obtained are first step in the study of weak solvability of boundary value problems for quasilinear elliptic equations.
URL	http://www.acadsol.eu/en/articles/9/3/4.pdf
Refereed Designation	Refereed
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