Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615470 | Journal of Mathematical Analysis and Applications | 2015 | 15 Pages |
Abstract
In this paper we prove existence, uniqueness, and regularity results for solutions of nonlinear elliptic equations in which the differential operator has logarithmic growth with respect to the gradient. The solution will belong to the Sobolev space W01,1(Ω), to the Orlicz–Sobolev space generated by the function tlog(1+|t|)tlog(1+|t|), but not to any Sobolev space W01,p(Ω), with p>1p>1.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Lucio Boccardo, Luigi Orsina,