Existence and separation of positive radial solutions for semilinear elliptic equations

DOI10.1016/j.jde.2014.05.042zbMath1298.35079OpenAlexW2090282958MaRDI QIDQ2249238

Soohyun Bae, Yūki Naito

Publication date: 10 July 2014

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2014.05.042

zbMATH Keywords

semilinear elliptic equationssingular solutionseparationentire solutionpartial separationasymptotic behavior.

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Critical exponents in context of PDEs (35B33) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09)

Related Items (6)

Separation structure of radial solutions for semilinear elliptic equations with exponential nonlinearity ⋮ A critical exponent for Hénon type equation on the hyperbolic space ⋮ A critical exponent of Joseph-lundgren type for an Hénon equation on the hyperbolic space ⋮ Unnamed Item ⋮ Separation phenomena of radial solutions to the Lane-Emden equation on non-compact Riemannian manifolds ⋮ Entire solutions with asymptotic self-similarity for elliptic equations with exponential nonlinearity

Cites Work

• Unnamed Item
• Unnamed Item
• On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Sturmian theory for ordinary differential equations
• Classification of the structure of positive radial solutions to \(\Delta u+K(| x|)u^ p=0\) in \(\mathbb{R}^ n\)
• Separation structure of positive radial solutions of a semilinear elliptic equation in \(\mathbf R^n\)
• Separation property of solutions for a semilinear elliptic equation
• Infinite multiplicity of positive entire solutions for a semilinear elliptic equation
• On a class of semilinear elliptic equations in \(\mathbb{R}^n\)
• Infinite multiplicity and separation structure of positive solutions for a semilinear elliptic equation in \(\mathbb R^n\)
• On the elliptic equation \(\Delta u + Ku^p = 0\) in \(\mathbb{R}^n\)
• Quasilinear Dirichlet problems driven by positive sources
• Semilinear elliptic equations of Matukuma-type and related topics
• On the stability and instability of positive steady states of a semilinear heat equation in ℝn
• On the Cauchy Problem for Reaction-Diffusion Equations
• Further study on a nonlinear heat equation

This page was built for publication: Existence and separation of positive radial solutions for semilinear elliptic equations