Positive solutions for a concave semipositone Dirichlet problem

DOI10.1016/S0362-546X(96)00189-7zbMath0910.34034MaRDI QIDQ4208378

Alfonso Castro, Ratnasingham Shivaji

Publication date: 8 April 1999

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

uniquenessradial solutionssemipositonePohozaev identity

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for ordinary differential equations (34B15)

Related Items (15)

Diffusive logistic equation with constant yield harvesting, I: Steady States ⋮ Multiple positive solutions for eigenvalue problems of hemivariational inequalities ⋮ 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 ⋮ 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 ⋮ Existence results for classes of infinite semipositone problems ⋮ Existence of positive radial solutions for a semipositone elliptic equation ⋮ Asymptotic oscillations of global solution branches for nonlinear problems ⋮ INHOMOGENEOUS PERIODIC PARABOLIC PROBLEMS WITH INDEFINITE DATA ⋮ Exact multiplicity for degenerate two-point boundary value problems with \(p\)-convex nonlinearity

Cites Work

• Unnamed Item
• Existence results for classes of sublinear semipositone problems
• Nonnegative solutions to a semilinear dirichlet problem in a ball are positive and radially syhhetric^*
• Uniqueness of stable and unstable positive solutions for semipositone problems
• Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball

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