Direct methods for pseudo-relativistic Schrödinger operators (Q2048260)

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English	Direct methods for pseudo-relativistic Schrödinger operators	scientific article

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instance of

scholarly article

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title

Direct methods for pseudo-relativistic Schrödinger operators (English)

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zbMATH Open document ID

1475.35314

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DOI

10.1007/s12220-020-00492-1

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The Journal of Geometric Analysis

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publication date

5 August 2021

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full work available at URL

https://arxiv.org/abs/2002.09924

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Mathematics Subject Classification ID

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pseudo-relativistic Schrödinger operators

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epigraph

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3D boson star equations

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direct methods of moving planes

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direct sliding methods

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MaRDI profile type

MaRDI publication profile

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Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator

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Entire solutions of semilinear elliptic equations in ℝ³ and a conjecture of De Giorgi

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Inequalities for second-order elliptic equations with applications to unbounded domains. I

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Q4389752

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A concave—convex elliptic problem involving the fractional Laplacian

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Q4888858

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One-dimensional symmetry of bounded entire solutions of some elliptic equations

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Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations

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Q3485255

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On the method of moving planes and the sliding method

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Classification of nonnegative solutions to a bi-harmonic equation with Hartree type nonlinearity

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Fractional Laplacian in conformal geometry

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Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth

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Classification of solutions of some nonlinear elliptic equations

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A necessary and sufficient condition for the nirenberg problem

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Moving planes, moving spheres, and a priori estimates.

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Maximum principles for the fractional p-Laplacian and symmetry of solutions

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A direct method of moving planes for the fractional Laplacian

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Classification of solutions for an integral equation

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The Fractional Laplacian

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A direct method of moving spheres on fractional order equations

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Euler Equations, Navier-Stokes Equations and Turbulence

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Direct methods on fractional equations

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An Extension Problem Related to the Fractional Laplacian

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Nonrelativistic limit of standing waves for pseudo-relativistic nonlinear Schrödinger equations

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Positive solutions of nonlinear problems involving the square root of the Laplacian

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Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation

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The sliding methods for the fractional $p$-Laplacian

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On uniqueness of solutions of $n$-th order differential equations in conformal geometry

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Regularity and classification of solutions to static Hartree equations involving fractional Laplacians

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Classification of positive solutions to fractional order Hartree equations via a direct method of moving planes

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Q4191164

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On De Giorgi's conjecture in dimension $N\geq 9$

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Classification of nonnegative solutions to static Schrödinger-Hartree and Schrödinger-Maxwell Equations with combined nonlinearities

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Classification of Nonnegative Solutions to Static Schrödinger--Hartree--Maxwell Type Equations

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Classification of nonnegative classical solutions to third-order equations

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Hartree-Fock theory for pseudorelativistic atoms

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On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results

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Existence and non-existence results for semilinear elliptic problems in unbounded domains

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Mean field dynamics of boson stars

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Entire $s$-harmonic functions are affine

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Sharp essential self-adjointness of relativistic Schrödinger operators with a singular potential

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Unique continuation properties for relativistic Schrödinger operators with a singular potential

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Boson stars as solitary waves

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Effective dynamics for boson stars

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Blowup for nonlinear wave equations describing boson stars

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Uniqueness of Radial Solutions for the Fractional Laplacian

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On a conjecture of De Giorgi and some related problems

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On De Giorgi's conjecture in dimensions 4 and 5

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Spectral theory of the operator $(p^2+m^2)^{1/2}-Ze^2/r$

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Symmetry and asymmetry: the method of moving spheres

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Well-posedness for semi-relativistic Hartree equations of critical type

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Uniqueness of ground states for pseudorelativistic Hartree equations

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The stability of matter: from atoms to stars

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Local asymptotic symmetry of singular solutions to nonlinear elliptic equations

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Variational and Topological Methods for Nonlocal Fractional Periodic Equations

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Ground state solutions of scalar field fractional Schrödinger equations

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Multiplicity results for elliptic fractional equations with subcritical term

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Variational Methods for Nonlocal Fractional Problems

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Groundstates of nonlinear Choquard equations: existence, qualitative properties and decay asymptotics

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Regularity of flat level sets in phase transitions

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A symmetry problem in potential theory

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Regularity of the obstacle problem for a fractional power of the laplace operator

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Spectral analysis of pseudodifferential operators

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Mass concentration phenomenon for inhomogeneous fractional Hartree equations

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Mathematics(1 entry)

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