Quasi-linear elliptic equations with superlinear convection

2024/07/21 by da Silva, Genival
#35A01 #35B65 #35J15 #35J92 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2407.15194

Abstract

We discuss the existence and regularity of solutions to a quasi-linear elliptic equation involving a Leray-Lions operator and a convection term with superlinear growth. In particular, equations involving the p-Laplacian are covered. This paper generalizes some of the results in Boccardo et al. (2024).

Related

• Elliptic problems with superlinear convection terms
• Quasilinear Dirichlet systems with competing operators and convection
• Regular solutions for nonlinear elliptic equations, with convective terms, in Orlicz spaces
• Singular quasilinear convective systems involving variable exponents
• Singular quasilinear convective elliptic systems in R^N