LAUSR.org creates dashboard-style pages of related content for over 1.5 million academic articles. Sign Up to like articles & get recommendations!

Existence of a renormalized solution to the quasilinear Riccati-type equation in Lorentz spaces

Photo by stayandroam from unsplash

Abstract In this paper, we prove the existence of a renormalized solution for the quasilinear Riccati-type equation with low integrability-measure data in Lorentz spaces. The result is established in both… Click to show full abstract

Abstract In this paper, we prove the existence of a renormalized solution for the quasilinear Riccati-type equation with low integrability-measure data in Lorentz spaces. The result is established in both regular and singular cases. Our proof is based on the gradient estimates for a solution to a class of quasilinear elliptic equations.

Keywords: riccati type; existence renormalized; solution quasilinear; quasilinear riccati; renormalized solution; type equation

Journal Title: Comptes Rendus Mathematique
Year Published: 2019

Link to full text (if available)


Share on Social Media:                               Sign Up to like & get
recommendations!

Related content

More Information              News              Social Media              Video              Recommended



                Click one of the above tabs to view related content.