On nonlocal Hénon type problems with the fractional Laplacian

DOI10.1016/j.na.2020.112190zbMath1458.35456OpenAlexW3104927801MaRDI QIDQ1995025

Yanyan Li

Publication date: 18 February 2021

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2020.112190

zbMATH Keywords

existence of positive solutionsvariational methodNehari manifoldfractional Laplacian

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Other special methods applied to PDEs (35A25) Fractional partial differential equations (35R11) Quasilinear elliptic equations with (p)-Laplacian (35J92) Liouville theorems and Phragmén-Lindelöf theorems in context of PDEs (35B53)

Related Items (4)

Fractional interpolation inequality and radially symmetric ground states ⋮ Extremals to new Gagliardo-Nirenberg inequality and ground states ⋮ Existence of ground states of fractional Schrödinger equations ⋮ Nehari manifold and fractional Dirichlet boundary value problem

Cites Work

• A direct method of moving planes for the fractional Laplacian
• Classification of positive solitary solutions of the nonlinear Choquard equation
• Nonlinear ground state representations and sharp Hardy inequalities
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Spectral theory of the operator \((p^2+m^2)^{1/2}-Ze^2/r\)
• Ground states of a nonlinear drifting Schrödinger equation
• On the Poisson equation of \(p\)-Laplacian and the nonlinear Hardy-type problems
• Radial symmetry and monotonicity for an integral equation
• On the Hénon equation: asymptotic profile of ground states. II
• Boundedness of solutions to Ginzburg–Landau fractional Laplacian equation
• Remarks on the inhomogeneous fractional nonlinear Schrödinger equation
• NON-RADIAL GROUND STATES FOR THE HÉNON EQUATION
• Regularity theory for fully nonlinear integro-differential equations
• ON NONLOCAL NONLINEAR ELLIPTIC PROBLEMS WITH THE FRACTIONAL LAPLACIAN
• SOBOLEV INEQUALITIES WITH SYMMETRY

This page was built for publication: On nonlocal Hénon type problems with the fractional Laplacian