6533b7d6fe1ef96bd12665b8
RESEARCH PRODUCT
Systems of quasilinear elliptic equations with dependence on the gradient via subsolution-supersolution method
Dumitru MotreanuCalogero VetroFrancesca Vetrosubject
System of elliptic equationDirichlet problemApplied Mathematics010102 general mathematicsMathematical analysisMathematics::Analysis of PDEsSystem of linear equations01 natural sciences(pq)-Laplacian010101 applied mathematicsSubsolution-supersolution and gradient dependenceSettore MAT/05 - Analisi MatematicaHomogeneousDiscrete Mathematics and CombinatoricsRectangle0101 mathematicsLaplace operatorAnalysisDirichlet problemMathematicsdescription
For the homogeneous Dirichlet problem involving a system of equations driven by \begin{document}$(p,q)$\end{document} -Laplacian operators and general gradient dependence we prove the existence of solutions in the ordered rectangle determined by a subsolution-supersolution. This extends the preceding results based on the method of subsolution-supersolution for systems of elliptic equations. Positive and negative solutions are obtained.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2017-01-01 | Discrete & Continuous Dynamical Systems - S |