A Liouville-Type Theorem for the Lane–Emden Equation in a Half-space

DOI10.1093/imrn/rnaa392zbMath1491.35089arXiv2003.11466OpenAlexW3136522014MaRDI QIDQ5082295

Boyan Sirakov, Philippe Souplet, Louis Dupaigne

Publication date: 16 June 2022

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11466

zbMATH Keywords

nonexistence resultDirichlet problem in a half-spacegeneral convex nonlinearities

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Semilinear elliptic equations (35J61) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (5)

Supercritical problems via a fixed point argument on the cone of monotonic functions ⋮ The Gelfand problem on annular domains of double revolution with monotonicity ⋮ A nonlinear elliptic problem involving the gradient on a half space ⋮ An elliptic problem involving large advection ⋮ Liouville-type theorems for the Lane-Emden equation in the half-space and cones

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