Location of solutions for quasi-linear elliptic equations with general gradient dependence

Electronic Journal of Qualitative Theory of Differential Equations

Dumitru Motreanu¹  Elisabetta Tornatore² 

[1] Département de Mathématiques, Université de Perpignan, Perpignan, France;University of Palermo, Palermo, Italy;

关键词: quasi-linear elliptic equations;    gradient dependence;    $(p;    q)$-laplacian;    subsolution-supersolution;    positive solution;   

DOI  :  10.14232/ejqtde.2017.1.87

来源: DOAJ

【 摘 要 】

Existence and location of solutions to a Dirichlet problem driven by $(p,q)$-Laplacian and containing a (convection) term fully depending on the solution and its gradient are established through the method of subsolution-supersolution. Here we substantially improve the growth condition used in preceding works. The abstract theorem is applied to get a new result for existence of positive solutions with a priori estimates.

【 授权许可】

Unknown