Liouville results for \(m\)-Laplace equations in half-space and strips with mixed boundary value conditions and finite Morse index

DOI10.1007/s10884-017-9593-3zbMath1402.35057OpenAlexW2608748877MaRDI QIDQ1994007

Belgacem Rahal, Abdellaziz Harrabi

Publication date: 6 November 2018

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-017-9593-3

zbMATH Keywords

sign-changing solutionsPohozaev identitymonotonicity formulastability outside a compact set

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Monge-Ampère equations (35J96) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (11)

Stable solutions of \(-\Delta u+\lambda u=|u|^{p-1}u\) in strips ⋮ \(L^\infty \)-norm estimates of weak solutions via their Morse indices for the \(m\)-Laplacian problems ⋮ Liouville type theorem and Morse indices of a semilinear elliptic equation with nonlocal nonlinearities ⋮ Stable solutions to double phase problems involving a nonlocal term ⋮ Some Liouville theorems for Hénon type equations in half-space with nonlinear boundary value conditions and finite Morse indices ⋮ On finite Morse index solutions of higher order fractional elliptic equations ⋮ Unnamed Item ⋮ On the classification of stable solutions of the fractional equation ⋮ Liouville results for \(m\)-Laplace equations in half-space and strips with mixed boundary value conditions and finite Morse index ⋮ Liouville results for elliptic equations in strips with finite Morse index ⋮ Nonexistence results on the space or the half space of \(-\Delta u+\lambda u = \vert u\vert ^{p-1}u \) via the Morse index

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