Year: 2017
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 1 : pp. 46–58
Abstract
In this work, we will prove the existence of bounded solutions in W1,p0(Ω)∩L∞(Ω) for nonlinear elliptic equations − div(a(x,u,∇u))+g(x,u,∇u)+H(x,∇u)=f, where a, g and H are Carathéodory functions which satisfy some conditions, and the right hand side f belongs to W−1,q(Ω).
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2017.v33.n1.5
Analysis in Theory and Applications, Vol. 33 (2017), Iss. 1 : pp. 46–58
Published online: 2017-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 13
Keywords: L∞-estimate nonlinear elliptic equations rearrangement Sobolev spaces.
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