Singular solutions of the elliptic equation \(\Delta u- u+u^ p =0\)

DOI10.1007/BF01765635zbMath0810.35028OpenAlexW2087666731MaRDI QIDQ1342826

Yingfei Yi, Russell A. Johnson, Xing-Bin Pan

Publication date: 6 February 1995

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01765635

zbMATH Keywords

semilinear elliptic equationinfinitely many singular solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear elliptic equations (35J60)

Related Items (10)

On a diffusion model with absorption and production ⋮ Ground states for the planar NLSE with a point defect as minimizers of the constrained energy ⋮ Positive solutions for semilinear elliptic equations with singular forcing terms ⋮ Singular solutions for semilinear elliptic equations with general supercritical growth ⋮ Fundamental properties and asymptotic shapes of the singular and classical radial solutions for supercritical semilinear elliptic equations ⋮ A biography of Russell A. Johnson ⋮ On the Classification of Standing Wave Solutions for the Schrödinger Equation ⋮ Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials ⋮ Well posedness of the nonlinear Schrödinger equation with isolated singularities ⋮ Multiplicity of radial ground states for the scalar curvature equation without reciprocal symmetry

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