Existence results for some nonuniformly elliptic equations with irregular data

Authors
Giachetti, D Porzio, MM
Citation
D. Giachetti et Mm. Porzio, Existence results for some nonuniformly elliptic equations with irregular data, J MATH ANAL, 257(1), 2001, pp. 100-130
Citations number
9
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN journal
0022247X → ACNP
Volume
257
Issue
1
Year of publication
2001
Pages
100 - 130
Database
ISI
SICI code
0022-247X(20010501)257:1<100:ERFSNE>2.0.ZU;2-B
Abstract
In this paper we prove the existence of solutions of some nonlinear ellipti c equations with degenerate coercivity of the type { (= 0), (-div(Du/(1 + \u\)0)) (= -div(F),) (in Omega)(on partial derivativ e Omega) when the datum F belongs to the space L'(Ohm) where r less than or equal to 2 and theta epsilon (0, 1). (C) 2001 Academic Press.