On the elliptic equation \(\Delta u + Ku^p = 0\) in \(\mathbb{R}^n\)

DOI10.3934/DCDS.2013.33.555zbMath1446.35041OpenAlexW2329670073MaRDI QIDQ1946310

Soohyun Bae

Publication date: 19 April 2013

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2013.33.555

zbMATH Keywords

positive solutionsingular solutionsemilinear elliptic equationphase-plane analysisslow decayfast decayasymptotically self-similar solutionDelaunay-Fowler-type solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Phase plane analysis, limit cycles for nonlinear problems in mechanics (70K05) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Self-similar solutions to PDEs (35C06)

Related Items (3)

Asymptotic behavior of positive solutions for quasilinear elliptic equations ⋮ Existence and separation of positive radial solutions for semilinear elliptic equations ⋮ Entire solutions with asymptotic self-similarity for elliptic equations with exponential nonlinearity

This page was built for publication: On the elliptic equation \(\Delta u + Ku^p = 0\) in \(\mathbb{R}^n\)