Multiplicity of positive solutions for the generalized Hénon equation with fractional Laplacian

DOI10.1007/s10958-021-05678-8zbMath1485.35134OpenAlexW4205531598MaRDI QIDQ2667857

A. P. Shcheglova

Publication date: 2 March 2022

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05678-8

zbMATH Keywords

existencefractional Laplaciangeneralized Hénon equation

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11)

Cites Work

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• On Fractional Laplacians
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• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• Multiplicity of Solutions to a Boundary-Value Problem with Nonlinear Neumann Condition
• On solutions to the Dirichlet problem for an equation with 𝑝-Laplacian in a spherical layer
• Weighted Sobolev-type embedding theorems for functions with symmetries

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