Solutions of fractional Laplacian equations and their Morse indices

DOI10.1016/j.jde.2015.09.010zbMath1330.35512OpenAlexW1642012915MaRDI QIDQ888225

Xiaohui Yu

Publication date: 4 November 2015

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

Full work available at URL: https://doi.org/10.1016/j.jde.2015.09.010

zbMATH Keywords

Liouville type theoremMorse indexblow upfractional Laplacian

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Fractional partial differential equations (35R11)

Related Items (8)

Liouville theorem for elliptic equations with mixed boundary value conditions and finite Morse indices ⋮ Liouville theorem for some elliptic equations with weights and finite Morse indices ⋮ Liouville theorem for Choquard equation with finite Morse indices ⋮ Existence and regularity of solutions for a class of fractional Laplacian problems ⋮ Solvability of some two-point fractional boundary value problems under barrier strip conditions ⋮ Classification of finite Morse index solutions for Robin boundary value problems ⋮ Existence for fractional Dirichlet boundary value problem under barrier strip conditions ⋮ 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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