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On a Dirichlet problem with $(p,q)$-Laplacian and parametric concave-convex nonlinearity
- Publication Year :
- 2018
-
Abstract
- A homogeneous Dirichlet problem with $(p,q)$-Laplace differential operator and reaction given by a parametric $p$-convex term plus a $q$-concave one is investigated. A bifurcation-type result, describing changes in the set of positive solutions as the parameter $\lambda>0$ varies, is proven. Since for every admissible $\lambda$ the problem has a smallest positive solution $\bar u_{\lambda}$, both monotonicity and continuity of the map $ \lambda \mapsto \bar u_{\lambda}$ are studied.<br />Comment: 12 pages, comments are welcome
- Subjects :
- Mathematics - Analysis of PDEs
35J20, 35J60
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1812.08055
- Document Type :
- Working Paper