Positive solution curves of semipositone problems with concave nonlinearities

DOI10.1017/S0308210500026809zbMath0884.35040OpenAlexW2156863802MaRDI QIDQ4361916

Alfonso Castro, Ratnasingham Shivaji, Sudhasree Gadam

Publication date: 2 April 1998

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0308210500026809

zbMATH Keywords

large solutionsgeometry of branches of positive solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Stability in context of PDEs (35B35)

Related Items (16)

Positive solutions for a class of semipositone Neumann problems ⋮ Exact multiplicity of positive solutions of a semipositone problem with concave-convex nonlinearity ⋮ Positive solutions of semi-positone nonlinear operator equations in Banach spaces with lattice structure ⋮ Singular quasilinear elliptic problems on unbounded domains ⋮ A variational approach to superlinear semipositone elliptic problems ⋮ Uniqueness of nonnegative solutions for semipositone problems on exterior domains ⋮ Uniqueness of positive radial solutions for a class of semipositone problems on the exterior of a ball ⋮ Global structure of positive solution sets of nonlinear operator equations ⋮ Evolution of positive solution curves in semipositone problems with concave nonlinearities ⋮ Existence of positive solution to Schrödinger-type semipositone problems with mixed nonlinear boundary conditions ⋮ Unbounded connected component of the positive solution set of nonlinear operator equation and its applications ⋮ Positive solutions for infinite semipositone problems with falling zeros ⋮ On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity ⋮ Monotone approximations of unstable solutions. ⋮ Asymptotic oscillations of global solution branches for nonlinear problems ⋮ Exact multiplicity for degenerate two-point boundary value problems with \(p\)-convex nonlinearity

Cites Work

• Existence results for classes of sublinear semipositone problems
• Branches of radial solutions for semipositone problems
• Bifurcation from simple eigenvalues
• Uniqueness of stable and unstable positive solutions for semipositone problems
• Positive solutions for a class of nonpositone problems with concave nonlinearities

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