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.
Motreanu, D., Tornatore, E. (2017). Location of solutions for quasi-linear elliptic equations with general gradient dependence. ELECTRONIC JOURNAL ON THE QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2017(87), 1-10 [10.14232/ejqtde.2017.1.87].
Location of solutions for quasi-linear elliptic equations with general gradient dependence
Motreanu, Dumitru;Tornatore, Elisabetta
2017-01-01
Abstract
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.
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