Positive entire stable solutions of inhomogeneous semilinear elliptic equations

DOI10.1016/j.na.2011.07.022zbMath1229.35077OpenAlexW2000638402MaRDI QIDQ642566

Kijung Lee, Soohyun Bae

Publication date: 27 October 2011

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2011.07.022

zbMATH Keywords

stabilityasymptotic behaviorinhomogeneous semilinear elliptic equationspositive entire solutionsweak asymptotic stability

Mathematics Subject Classification ID

Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Entire solutions to PDEs (35B08)

Related Items (2)

Existence of positive entire solutions of semilinear elliptic equations ⋮ Unnamed Item

Cites Work

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• A note on bounded positive entire solutions of semilinear elliptic equations
• On the stability of the positive steady states for a nonhomogeneous semilinear Cauchy problem
• Positive entire solutions of semilinear elliptic equations with quadratically vanishing coefficient
• Positive entire solutions of inhomogeneous semilinear elliptic equations with supercritical exponent
• Infinite multiplicity of positive entire solutions for a semilinear elliptic equation
• Infinite multiplicity and separation structure of positive solutions for a semilinear elliptic equation in \(\mathbb R^n\)
• On the stability and instability of positive steady states of a semilinear heat equation in ℝn
• On the Cauchy Problem for Reaction-Diffusion Equations
• On positive entire solutions of the elliptic equation Δu + K(x)u^p = 0 and its applications to Riemannian geometry
• Existence and infinite multiplicity for an inhomogeneous semilinear elliptic equation on \(\mathbb R^n\)

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