Stability and Instability of Positive Solutions of Semipositone Problems

DOI10.2307/2159625zbMath0767.35009OpenAlexW4250560716MaRDI QIDQ3991938

Achilles Tertikas

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159625

zbMATH Keywords

linearized stabilitypositonesubsupersolutions

Mathematics Subject Classification ID

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

Related Items (9)

Instability of nonnegative solutions for a class of semilinear elliptic boundary value problems ⋮ Unnamed Item ⋮ Stability properties of non-negative solutions to a non-autonomous \(p\)-Laplacian equation ⋮ Unnamed Item ⋮ Parabolic approach to nonlinear elliptic eigenvalue 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

• Geometric theory of semilinear parabolic equations
• Quasilinear Dirichlet problems driven by positive sources
• Instability of Nonnegative Solutions for a Class of Semipositone Problems
• On the nonlinear equations Δ𝑢+𝑒^{𝑢}=0 and ∂𝑣/∂𝑡=Δ𝑣+𝑒^{𝑣}

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