On positive entire solutions of indefinite semilinear elliptic equations

DOI10.1016/j.jde.2009.06.007zbMath1176.35075OpenAlexW1973521016MaRDI QIDQ833299

Soohyun Bae

Publication date: 12 August 2009

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

Full work available at URL: https://doi.org/10.1016/j.jde.2009.06.007

zbMATH Keywords

semilinear elliptic equationspartial separationcontinuum of solutionsslow decaypositive entire solutions

Mathematics Subject Classification ID

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

Related Items (4)

Yamabe type equations with a sign-changing nonlinearity, and the prescribed curvature problem ⋮ On a diffusion model with absorption and production ⋮ Entire solutions of superlinear problems with indefinite weights and Hardy potentials ⋮ Infinite multiplicity of stable entire solutions for a semilinear elliptic equation with exponential nonlinearity

Cites Work

• 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
• On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Asymptotic behavior of positive solutions of equation \(\Delta{} u+K(x)u^ p=0\) in \(\mathbb{R}{}^ n\)
• Positive entire solutions of the equation \(\Delta{}u+f(x,u)=0\)
• 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 \(\mathbb R^n\)
• 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
• 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 \(\mathbb R^n\)

This page was built for publication: On positive entire solutions of indefinite semilinear elliptic equations