Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4611074 | Journal of Differential Equations | 2010 | 25 Pages |
Abstract
In this paper we deal with a nonlinear elliptic problem, whose model is{−Δu=B|Du|2u+finΩ,u=0on∂Ω, where B>0B>0 and f⩾0f⩾0 belongs to a Lebesgue space. We prove the existence of positive solutions in suitable Sobolev spaces (depending on f and B).
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
David Arcoya, Lucio Boccardo, Tommaso Leonori, Alessio Porretta,