Exact number of positive solutions for a class of semipositone problems
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Publication:1873655
DOI10.1016/S0022-247X(02)00539-5zbMath1028.34027OpenAlexW2046687838MaRDI QIDQ1873655
Publication date: 27 May 2003
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00539-5
Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Abstract bifurcation theory involving nonlinear operators (47J15)
Related Items (9)
Exact multiplicity results for a class of two-point boundary value problems ⋮ Double bifurcation diagrams and four positive solutions of nonlinear boundary value problems via time maps ⋮ Existence of positive solutions to semipositone singular Dirichlet boundary value problems ⋮ Positive solutions to nonlinear elliptic equations depending on a parameter with Dirichlet boundary conditions ⋮ Bifurcation diagrams and exact multiplicity of positive solutions of one-dimensional prescribed mean curvature equation in Minkowski space ⋮ The positive solutions of boundary value problems for a class of one-dimensional \(p\)-Laplacians ⋮ Exact structure of positive solutions for some \(p\)-Laplacian equations ⋮ Uniqueness results for the one-dimensional \(p\)-Laplacian ⋮ Exact number of positive solutions for semipositone problems
Cites Work
- Uniqueness of positive radial solutions of the Dirichlet problems \(-\Delta u=u^ p\pm u^ q\) in an annulus
- Exact multiplicity of positive solutions for a class of semilinear problem. II
- Asymptotic oscillations of continua of positive solutions of a semilinear Sturm-Liouville problem
- Evolution of positive solution curves in semipositone problems with concave nonlinearities
- A class of two-point boundary value problems
- On the infinitely many positive solutions of a supercritical elliptic problem
- Uniqueness of positive radial solutions for semilinear elliptic equations on annular domains
- An exact multiplicity theorem involving concave-convex nonlinearities and its application to stationary solutions of a singular diffusion problem
- Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities
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