6533b827fe1ef96bd1287123
RESEARCH PRODUCT
Location of solutions for quasi-linear elliptic equations with general gradient dependence
Elisabetta TornatoreDumitru Motreanusubject
subsolution-supersolutionGradient dependenceApplied Mathematics010102 general mathematicsMathematical analysisMathematics::Analysis of PDEs$(pQuasi-linear elliptic equationq)$-laplacian01 natural sciences010101 applied mathematics(p q)-laplacian; Gradient dependence; positive solution; Quasi-linear elliptic equations; subsolution-supersolution; Applied Mathematicspositive solutionSettore MAT/05 - Analisi MatematicaQA1-939Quasi linear0101 mathematicsquasi-linear elliptic equationsMathematics(p q)-laplacianMathematicsdescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-12-01 |