Stable solutions and finite Morse index solutions of nonlinear elliptic equations with Hardy potential

DOI10.1016/J.NA.2013.04.007zbMath1287.35030arXiv1303.5149OpenAlexW2963085240MaRDI QIDQ393218

Youngae Lee, Wonjeong Jeong

Publication date: 16 January 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.5149

zbMATH Keywords

stable solutionsHardy potentialfinite Morse index solutions

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Semilinear elliptic equations (35J61) Positive solutions to PDEs (35B09) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (13)

Finite Morse index solutions of the fractional Henon-Lane-Emden equation with Hardy potential ⋮ Liouville-type theorem for Kirchhoff equations involving Grushin operators ⋮ Stable weak solutions of weighted nonlinear elliptic equations ⋮ Isolated singularities for elliptic equations with Hardy operator and source nonlinearity ⋮ Liouville theorems for the weighted Lane-Emden equation with finite Morse indices ⋮ Finite Morse index solutions of a nonlinear Schrödinger equation ⋮ On the Hénon-Lane-Emden conjecture ⋮ Liouville results for fractional elliptic equations with Hardy potential ⋮ Liouville type results for semi-stable solutions of the weighted Lane-Emden system ⋮ Liouville type theorems for stable solutions of \(p\)-Laplace equation in \(\mathbb{R}^N\) ⋮ On stable solutions to weighted quasilinear problems of Gelfand type ⋮ Liouville-type theorems and existence results for stable solutions to weighted Lane–Emden equations ⋮ Liouville type theorems for stable solutions of the weighted fractional Lane-Emden system

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