Existence of positive entire solutions of some semilinear elliptic equations

DOI10.1016/0022-0396(92)90110-9zbMath0781.35022OpenAlexW1990586575MaRDI QIDQ1188220

Jann-Long Chern, Kuo-Shung Cheng

Publication date: 13 August 1992

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

Full work available at URL: https://doi.org/10.1016/0022-0396(92)90110-9

zbMATH Keywords

existence of positive solutionsentire solutionEmden-Fowler equations

Mathematics Subject Classification ID

Degenerate elliptic equations (35J70) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

On the blow-up and positive entire solutions of semilinear elliptic equations ⋮ The structure of radial solutions for elliptic equations arising from the spherical Onsager vortex ⋮ Nodal solutions for supercritical Laplace equations ⋮ Existence of nodal fast-decay solutions to Δu+K(|x|)|u|p−1u = 0 IN Rn ⋮ On the equation \(\Delta u+K(x)u^{{{n+2}\over{n-2}}\pm\varepsilon^ 2}=0\) in \(\mathbb{R}^ n\) ⋮ On the semilinear elliptic equations \(\Delta u + {\beta\over{(1 + |x|)^{\mu}}} u^p - {\gamma\over {(1 + |x|)^{\nu}}} u^q = 0\) in \(\mathbb{R}^n\) ⋮ Uniqueness of finite total curvatures and the structure of radial solutions for nonlinear elliptic equations ⋮ Structure of the sets of regular and singular radial solutions for a semilinear elliptic equation ⋮ The scalar curvature equation on \(\mathbb R^N\) ⋮ Multiplicity of ground states for the scalar curvature equation ⋮ On the solution structures of the semilinear elliptic equations on ℝn ⋮ Classification of the structure of positive radial solutions to \(\Delta u+K(| x|)u^ p=0\) in \(\mathbb{R}^ n\) ⋮ Multiplicity of radial ground states for the scalar curvature equation without reciprocal symmetry

Cites Work

• On bounded entire solutions of semilinear elliptic equations
• On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• On the Elliptic Equations Δu = K(x)u σ and Δu = K(x)e 2u
• Semilinear elliptic equations of Matukuma-type and related topics
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