Instability of Nonnegative Solutions for a Class of Semipositone Problems
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Publication:3971643
DOI10.2307/2048487zbMath0741.35003OpenAlexW4237179117MaRDI QIDQ3971643
Ratnasingham Shivaji, Kenneth J. Brown
Publication date: 25 June 1992
Full work available at URL: https://doi.org/10.2307/2048487
Dirichlet boundary conditionNeumann conditionsemilinear elliptic boundary value problemmixed type boundary conditions
Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Stability in context of PDEs (35B35)
Related Items (12)
Uniqueness and Stability of Nonnegative Solutions for Semipositone Problems in a Ball ⋮ Instability of nonnegative solutions for a class of semilinear elliptic boundary value problems ⋮ Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball ⋮ Unnamed Item ⋮ Existence and stability for nonpositone elliptic problems ⋮ Stability properties of non-negative solutions to a non-autonomous \(p\)-Laplacian equation ⋮ Unnamed Item ⋮ Stability and Instability of Positive Solutions of Semipositone Problems ⋮ Positive solutions for infinite semipositone problems with falling zeros ⋮ On the stability properties of nonnegative solutions of semilinear problems with convex or concave nonlinearity ⋮ Unnamed Item ⋮ Liouville Type Theorems for Stable Solutions of Certain Elliptic Systems
Cites Work
- Unnamed Item
- Stability and uniqueness of positive solutions for a semi-linear elliptic boundary value problem
- Non-existence of radially symmetric non-negative solutions for a class of semi-positone problems
- Non-negative solutions for a class of non-positone problems
- Non-Negative Solutions for a Class of Radially Symmetric Non-Positone Problems
- Nonnegative solutions to a semilinear dirichlet problem in a ball are positive and radially syhhetric*
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