Photo by theblowup from unsplash
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… Click to show full abstract
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 λ > 0 varies, is proven. Since for every admissible λ the problem has a smallest positive solution u ¯ λ , both monotonicity and continuity of the map λ ↦ u ¯ λ are studied.
Keywords:
laplacian parametric;
concave convex;
problem;
parametric concave;
dirichlet problem;
problem laplacian
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!
Journal Title: Journal of Mathematical Analysis and Applications
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!