Hamack inequality for nonlinear elliptic equations with strong absorption

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:263

Article

Mohammed, Ahmed¹  Porru, Giovanni²  Vitolo, Antonio³ 

[1] Ball State Univ, Dept Math Sci, Muncie, IN 47306 USA

[2] Univ Cagliari, Dipartimento Matemat & Informat, I-09124 Cagliari, Italy

[3] Univ Salerno, Dept Civil Engn, I-84084 Salerno, Italy

关键词: Pucci external operators;    Viscosity solutions;    p-Laplace equations;    Blow-up solutions;    Hamack inequality;   

DOI  :  10.1016/j.jde.2017.07.035

来源: Elsevier

【 摘 要 】

We develop Harnack inequalities for two different types of equations. First we consider a fully nonlinear uniformly elliptic equation related to the Pucci's maximal and the minimal operators. Next we consider a quasilinear equation related to the p-Laplacian. In both cases we consider lower order terms of Keller - Osserman type. Although the equations considered are quite different, we employ a unified method to approach both problems and the results we find are similar. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free