Fractional Sobolev embedding with radial potential

DOI10.1016/J.JDE.2022.08.030zbMath1500.35304OpenAlexW4294837468MaRDI QIDQ2087606

Yanyan Li

Publication date: 21 October 2022

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

Full work available at URL: https://doi.org/10.1016/j.jde.2022.08.030

zbMATH Keywords

critical exponentradial potentialground state solutionfractional LaplacianHardy potential

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Variational methods for second-order elliptic equations (35J20) Fractional partial differential equations (35R11)

Related Items (5)

Normalized solutions for nonlinear Kirchhoff type equations with low-order fractional Laplacian and critical exponent ⋮ Radial groundstate solution for Schrödinger equation with Yukawa type instantaneous self-interaction ⋮ Lieb's and Lions' type theorems on Heisenberg group and applications ⋮ Minimizers of fractional NLS energy functionals in \(\mathbb{R}^2\) ⋮ Asymptotic Uniqueness of Minimizers for Hartree Type Equations with Fractional Laplacian

Cites Work

• Hitchhiker's guide to the fractional Sobolev spaces
• The critical case for a Berestycki-Lions theorem
• Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential
• Existence of a ground state solution for a nonlinear scalar field equation with critical growth
• Nonlinear scalar field equations. I: Existence of a ground state
• Ground state solution to the biharmonic equation
• Symmetry breaking for an elliptic equation involving the fractional Laplacian.
• Minimax theorems
• Lions-type theorem of the fractional Laplacian and applications
• Ground state solutions for fractional scalar field equations under a general critical nonlinearity
• A note on nonlinear elliptic problems with singular potentials
• Improved Sobolev embeddings, profile decomposition, and concentration-compactness for fractional Sobolev spaces
• Elementary Proofs of Embedding Theorems for Potential Spaces of Radial Functions
• Non-local Diffusions, Drifts and Games
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
• NONLINEAR SCHRÖDINGER EQUATIONS WITH UNBOUNDED AND DECAYING RADIAL POTENTIALS
• Sharp Gagliardo–Nirenberg inequalities in fractional Coulomb–Sobolev spaces
• Ground state solution for a class of Schrödinger equations involving general critical growth term

This page was built for publication: Fractional Sobolev embedding with radial potential