Document Type
Article
Publication Date
5-1-2020
Abstract
We characterize the existence of solutions to the quasilinear Riccati-type equation [EQUATION PRESENTED] with a distributional or measure datum . Here divA(x) is a quasilinear elliptic operator modeled after the p-Laplacian (p > 1), and is a bounded domain whose boundary is sufficiently flat (in the sense of Reifenberg). For distributional data, we assume that p > 1 and q > p. For measure data, we assume that they are compactly supported in, p > 3n.2 2n-1 , and q is in the sub-linear range p -1 > q > 1.We also assume more regularity conditions on A and on δωω in this case.
Publication Source (Journal or Book title)
Advanced Nonlinear Studies
First Page
373
Last Page
384
Recommended Citation
Nguyen, Q., & Phuc, N. (2020). Quasilinear Riccati-Type Equations with Oscillatory and Singular Data. Advanced Nonlinear Studies, 20 (2), 373-384. https://doi.org/10.1515/ans-2020-2079