Positive solutions to the sublinear Lane-Emden equation are isolated

DOI10.1080/03605302.2021.1920613zbMath1482.35150arXiv1911.09163OpenAlexW3164734620MaRDI QIDQ5012775

Guido De Philippis, Giovanni Franzina, Lorenzo Brasco

Publication date: 25 November 2021

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.09163

zbMATH Keywords

first eigenvalueLane-Emden equationconstrained critical pointscone condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Variational methods for eigenvalues of operators (49R05) Semilinear elliptic equations (35J61) Integro-partial differential equations (35R09)

Related Items (4)

The location of hot spots and other extremal points ⋮ Large time behavior of signed fractional porous media equations on bounded domains ⋮ Long-time behavior for the porous medium equation with small initial energy ⋮ A non-local semilinear eigenvalue problem

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