Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications
From MaRDI portal
Publication:5102320
DOI10.1080/17476933.2021.1931152zbMath1498.35297arXiv1810.07597OpenAlexW3169118448MaRDI QIDQ5102320
Aldo H. S. Medeiros, Gilberto A. Pereira, Hamilton P. Bueno
Publication date: 6 September 2022
Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1810.07597
Existence problems for PDEs: global existence, local existence, non-existence (35A01) Fractional partial differential equations (35R11) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)
Related Items (2)
Results on a strongly coupled, asymptotically linear pseudo-relativistic Schrödinger system: ground state, radial symmetry and Hölder regularity ⋮ On the convergence of the fractional relativistic Schrödinger operator
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unique continuation properties for relativistic Schrödinger operators with a singular potential
- Positive solutions of asymptotically linear equations via Pohozaev manifold
- Semi-classical states for the Choquard equation
- Pohozaev identity and virial theorem for the Dirac-Coulomb operator
- A guide to the Choquard equation
- Existence of ground states for nonlinear, pseudo-relativistic Schrödinger equations
- Periodic solutions for nonlocal fractional equations
- The Pohozaev identity for the fractional Laplacian
- Relativistic Schrödinger operators: Asymptotic behavior of the eigenfunctions
- Classification of positive solitary solutions of the nonlinear Choquard equation
- A general mountain pass principle for locating and classifying critical points
- The Chandrasekhar theory of stellar collapse as the limit quantum mechanics
- Estimates of Green function for relativistic \(\alpha\)-stable process
- (Super)critical nonlocal equations with periodic boundary conditions
- Best constants for Sobolev inequalities for higher order fractional derivatives
- Minimax theorems
- Remarks about a generalized pseudo-relativistic Hartree equation
- Ground states for pseudo-relativistic Hartree equations of critical type
- The Schrödinger-Poisson equation under the effect of a nonlinear local term
- Ground states solutions for a non-linear equation involving a pseudo-relativistic Schrödinger operator
- A concave—convex elliptic problem involving the fractional Laplacian
- Semi-classical limit for Schrödinger equations with magnetic field and Hartree-type nonlinearities
- Extension Problem and Harnack's Inequality for Some Fractional Operators
- Regularity of Radial Extremal Solutions for Some Non-Local Semilinear Equations
- Mean field dynamics of boson stars
- Variational and Topological Methods for Nonlocal Fractional Periodic Equations
- Classification of Solutions for a System of Integral Equations
- Ground state of scalar field equations involving a fractional Laplacian with general nonlinearity
- Periodic solutions for a fractional asymptotically linear problem
- Asymptotic behavior of ground states of generalized pseudo-relativistic Hartree equation
- Fractional thoughts
- Ground states for the pseudo-relativistic Hartree equation with external potential
- On the Semirelativistic Hartree‐Type Equation
- An Extension Problem Related to the Fractional Laplacian
- Layer solutions in a half‐space for boundary reactions
This page was built for publication: Pohozaev-type identities for a pseudo-relativistic Schrödinger operator and applications
