Classification of finite Morse index solutions for Hénon type elliptic equation \(-\Delta u = |x|^{\alpha} u_{+}^{p}\)

DOI10.1007/s00526-013-0658-9zbMath1307.35070OpenAlexW154902616WikidataQ115387417 ScholiaQ115387417MaRDI QIDQ2510362

Salem Rebhi, Chao Wang

Publication date: 1 August 2014

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-013-0658-9

zbMATH Keywords

classification of solutions

Mathematics Subject Classification ID

Degree theory for nonlinear operators (47H11) Weak solutions to PDEs (35D30) Semilinear elliptic equations (35J61) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items

Asymptotic behavior of positive solutions for quasilinear elliptic equations ⋮ Sobolev type embedding and weak solutions with a prescribed singular set ⋮ Finite Morse index solutions of weighted elliptic equations and the critical exponents ⋮ Embeddings of weighted Sobolev spaces and degenerate elliptic problems ⋮ Liouville theorems for Hénon type elliptic equation with mixed boundary conditions and finite Morse index ⋮ Existence and regularity of positive solutions of a degenerate elliptic problem ⋮ Further study of a weighted elliptic equation ⋮ Asymptotic behavior of positive solutions of the Hénon equation ⋮ Weighted fourth order elliptic problems in the unit ball ⋮ Non-existence results for a degenerate semilinear elliptic equation

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