Journal of Differential Equations, ISSN 0022-0396, 03/2018, Volume 264, Issue 6, pp. 4006 - 4035

This paper investigates the existence and asymptotic behavior of nodal solutions to the following gauged nonlinear Schrödinger equation where , and is the...

Nodal solutions | Gauged Schrödinger equation | Asymptotic behavior

Nodal solutions | Gauged Schrödinger equation | Asymptotic behavior

Journal Article

Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 11/2017, Volume 455, Issue 2, pp. 1559 - 1578

We study the existence and asymptotic behavior of the least energy sign-changing solutions to a gauged nonlinear Schrödinger equation where , and Combining...

Gauged Schrödinger equation | Asymptotic behavior | Least energy sign-changing solutions | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | SCALAR FIELD-EQUATIONS | NODAL SOLUTIONS | MULTIPLICITY | Gauged Schrodinger equation | POSITIVE SOLUTIONS

Gauged Schrödinger equation | Asymptotic behavior | Least energy sign-changing solutions | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | SCALAR FIELD-EQUATIONS | NODAL SOLUTIONS | MULTIPLICITY | Gauged Schrodinger equation | POSITIVE SOLUTIONS

Journal Article

Computers and Mathematics with Applications, ISSN 0898-1221, 12/2018, Volume 76, Issue 11-12, pp. 2701 - 2709

In this article, we prove the existence, stability and mass collapse behavior of standing waves for the Chern–Simons–Schrödinger model in the plane. This is a...

Standing waves | Mass collapse behavior | Gauged Schrödinger equation | Stability | MATHEMATICS, APPLIED | Gauged Schrodinger equation | Collapse | Nonlinear equations | Schrodinger equation | Defocusing | Schroedinger equation | Behavior

Standing waves | Mass collapse behavior | Gauged Schrödinger equation | Stability | MATHEMATICS, APPLIED | Gauged Schrodinger equation | Collapse | Nonlinear equations | Schrodinger equation | Defocusing | Schroedinger equation | Behavior

Journal Article

Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 6/2018, Volume 69, Issue 3, pp. 1 - 17

We study the existence, multiplicity, quantitative property and asymptotic behavior of normalized solutions for a gauged nonlinear Schrödinger equation arising...

Engineering | Primary 35J20 | Mathematical Methods in Physics | 35J60 | 35J92 | Multiplicity | Asymptotic behavior | 35Q55 | Gauged Schrödinger equation | Theoretical and Applied Mechanics | Normalized solutions | EXISTENCE | MATHEMATICS, APPLIED | PRESCRIBED NORM | Gauged Schrodinger equation | STANDING WAVES

Engineering | Primary 35J20 | Mathematical Methods in Physics | 35J60 | 35J92 | Multiplicity | Asymptotic behavior | 35Q55 | Gauged Schrödinger equation | Theoretical and Applied Mechanics | Normalized solutions | EXISTENCE | MATHEMATICS, APPLIED | PRESCRIBED NORM | Gauged Schrodinger equation | STANDING WAVES

Journal Article

Mathematical Methods in the Applied Sciences, ISSN 0170-4214, 01/2020, Volume 43, Issue 2, pp. 536 - 551

We study a class of gauged nonlinear Schrödinger equations −Δu+ωu+λ∫|x|∞h(s)su2(s)ds+h2(|x|)|x|2)u=f(u)inR2,u∈Hr1(R2), where ω,λ>0 and h(s)=∫0sr2u2(r)dr. Under...

critical exponential growth | minimal energy | gauged Schrödinger equations | ground state solution | non‐Nehari manifold

critical exponential growth | minimal energy | gauged Schrödinger equations | ground state solution | non‐Nehari manifold

Journal Article

6.
Full Text
On multiplicity and concentration of solutions for a gauged nonlinear Schrödinger equation

Applicable Analysis, ISSN 0003-6811, 2018, pp. 1 - 12

Journal Article

Proceedings of the Royal Society of Edinburgh Section A: Mathematics, ISSN 0308-2105, 2019, pp. 1 - 22

Abstract We are interested in standing waves of a modified Schrödinger equation coupled with the Chern–Simons gauge theory. By applying a constraint...

gauged Schrödinger equation | ground state solution | variational method

gauged Schrödinger equation | ground state solution | variational method

Journal Article

Journal of the European Mathematical Society, ISSN 1435-9855, 2015, Volume 17, Issue 6, pp. 1463 - 1486

This paper is motivated by a gauged Schrodinger equation in dimension 2 including the so-called Chern-Simons term. The study of radial stationary states leads...

Variational methods | Chern-Simons theory | Gauged Schrödinger equations | Concentration compactness | variational methods | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | concentration compactness | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | Gauged Schrodinger equations

Variational methods | Chern-Simons theory | Gauged Schrödinger equations | Concentration compactness | variational methods | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | WAVES | concentration compactness | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | Gauged Schrodinger equations

Journal Article

Applied Mathematics Letters, ISSN 0893-9659, 02/2019, Volume 88, pp. 21 - 27

This paper is concerned with a gauged nonlinear Schrödinger equation Under some suitable conditions on the nonlinearity , we obtain two new existence results...

Infinitely many solutions | Gauged Schrödinger equation | Superlinear | Variational methods | SYSTEM | MATHEMATICS, APPLIED | Gauged Schrodinger equation | STANDING WAVES

Infinitely many solutions | Gauged Schrödinger equation | Superlinear | Variational methods | SYSTEM | MATHEMATICS, APPLIED | Gauged Schrodinger equation | STANDING WAVES

Journal Article

JOURNAL OF DIFFERENTIAL EQUATIONS, ISSN 0022-0396, 03/2018, Volume 264, Issue 6, pp. 4006 - 4035

This paper investigates the existence and asymptotic behavior of nodal solutions to the following gauged nonlinear Schrodinger equation {-Delta u+omega...

Nodal solutions | EXISTENCE | MATHEMATICS | SCALAR FIELD-EQUATIONS | Gauged Schrodinger equation | Asymptotic behavior

Nodal solutions | EXISTENCE | MATHEMATICS | SCALAR FIELD-EQUATIONS | Gauged Schrodinger equation | Asymptotic behavior

Journal Article

Communications in Contemporary Mathematics, ISSN 0219-1997, 08/2016, Volume 18, Issue 4, p. 1550074

This paper is motivated by a gauged Schrödinger equation in dimension 2. We are concerned with radial stationary states under the presence of a vortex at the...

Variational methods | Chern-Simons theory | Gauged Schrödinger equations | Concentration compactness | variational methods | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | concentration compactness | Gauged Schrodinger equations

Variational methods | Chern-Simons theory | Gauged Schrödinger equations | Concentration compactness | variational methods | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | concentration compactness | Gauged Schrodinger equations

Journal Article

NONLINEARITY, ISSN 0951-7715, 08/2019, Volume 32, Issue 8, pp. 3082 - 3111

We are concerned with sign-changing solutions of the following gauged nonlinear Schrodinger equation in dimension two including the so-called Chern-Simons term...

MATHEMATICS, APPLIED | SCALAR FIELD-EQUATIONS | NODAL SOLUTIONS | sign-changing solutions | invariant sets of descending flow | PHYSICS, MATHEMATICAL | gauged Schrodinger equations

MATHEMATICS, APPLIED | SCALAR FIELD-EQUATIONS | NODAL SOLUTIONS | sign-changing solutions | invariant sets of descending flow | PHYSICS, MATHEMATICAL | gauged Schrodinger equations

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 09/2008, Volume 2008, Issue 9, pp. 030 - 30

We develop a Hamiltonian picture for a family of models of nonrelativistic AdS/CFT duality. The Schrodinger group is realized via the conformal quantum...

1/N expansion | AdS-CFT correspondence | GAUGED EXTENDED SUPERGRAVITY | EXTENSIONS | FIELD-THEORY | SCHRODINGER-EQUATION | CHERN-SIMONS | STRING THEORY | CONFORMAL-INVARIANCE | SYMMETRY | QUANTUM-MECHANICS | TRANSFORMATIONS | PHYSICS, PARTICLES & FIELDS

1/N expansion | AdS-CFT correspondence | GAUGED EXTENDED SUPERGRAVITY | EXTENSIONS | FIELD-THEORY | SCHRODINGER-EQUATION | CHERN-SIMONS | STRING THEORY | CONFORMAL-INVARIANCE | SYMMETRY | QUANTUM-MECHANICS | TRANSFORMATIONS | PHYSICS, PARTICLES & FIELDS

Journal Article

Reports on Mathematical Physics, ISSN 0034-4877, 2001, Volume 48, Issue 1, pp. 115 - 121

In the present contribution we consider a class of Schrödinger equations containing complex nonlinearities, describing systems with conserved norm ψ and...

gauge Schrödinger equations | nonlinear Schrödinger equation | 03.65.-w | Nonlinear Schrödinger equation | 11.15.-q | Gauge Schrödinger equations | nonlinear Schrodinger equation | PHYSICS, MATHEMATICAL | gauged Schrodinger equations

gauge Schrödinger equations | nonlinear Schrödinger equation | 03.65.-w | Nonlinear Schrödinger equation | 11.15.-q | Gauge Schrödinger equations | nonlinear Schrodinger equation | PHYSICS, MATHEMATICAL | gauged Schrodinger equations

Journal Article

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN 1550-7998, 09/2008, Volume 78, Issue 6

A class of thick branes in the background of sine-Gordon kinks with a scalar potential V(phi) = p(1 + cos2 phi/q) was constructed by R. Koley and S. Kar...

LOCALIZATION | ASTRONOMY & ASTROPHYSICS | STRING-LIKE DEFECT | ZERO-MODES | HIERARCHY PROBLEM | DOMAIN-WALLS | COSMOLOGICAL CONSTANT PROBLEM | RANDALL-SUNDRUM MODEL | GRAVITY | GAUGED SUPERGRAVITY | N=1 SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

LOCALIZATION | ASTRONOMY & ASTROPHYSICS | STRING-LIKE DEFECT | ZERO-MODES | HIERARCHY PROBLEM | DOMAIN-WALLS | COSMOLOGICAL CONSTANT PROBLEM | RANDALL-SUNDRUM MODEL | GRAVITY | GAUGED SUPERGRAVITY | N=1 SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 10/2011, Volume 2011, Issue 10, pp. 1 - 34

We discuss the systematics of obtaining the Callan-Symanzik equation within the framework of the gauge/gravity dualities. We present a completely general...

Gauge-gravity correspondence | AdS-CFT Correspondence | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | INVARIANCE | ADS/CFT | FIELD THEORY | RENORMALIZATION-GROUP EQUATION | GAUGED SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Gauge-gravity correspondence | AdS-CFT Correspondence | Quantum Physics | Renormalization Group | Quantum Field Theories, String Theory | Classical and Quantum Gravitation, Relativity Theory | Physics | 1/N Expansion | Elementary Particles, Quantum Field Theory | INVARIANCE | ADS/CFT | FIELD THEORY | RENORMALIZATION-GROUP EQUATION | GAUGED SUPERGRAVITY | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Comptes Rendus Mathematique, ISSN 1631-073X, 10/2018, Volume 356, Issue 10, pp. 988 - 1029

This paper considers boundary value problems for a class of singular elliptic operators that appear naturally in the study of asymptotically anti-de Sitter...

ADS | MATHEMATICS | GAUGED EXTENDED SUPERGRAVITY | QUASI-NORMAL MODES | SPACES | RESOLVENT | STABILITY | CURVATURE | BLACK-HOLES | MASSIVE WAVE-EQUATION

ADS | MATHEMATICS | GAUGED EXTENDED SUPERGRAVITY | QUASI-NORMAL MODES | SPACES | RESOLVENT | STABILITY | CURVATURE | BLACK-HOLES | MASSIVE WAVE-EQUATION

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 05/2006, Volume 23, Issue 10, pp. 3607 - 3618

In this paper, we study the recently discovered family of higher dimensional Kerr-AdS black holes with an extra NUT-like parameter. We show that the inverse...

FIELDS | PHYSICS, MULTIDISCIPLINARY | SEPARABILITY | DE-SITTER METRICS | GAUGED SUPERGRAVITY

FIELDS | PHYSICS, MULTIDISCIPLINARY | SEPARABILITY | DE-SITTER METRICS | GAUGED SUPERGRAVITY

Journal Article

Classical and Quantum Gravity, ISSN 0264-9381, 12/2006, Volume 23, Issue 23, pp. 6829 - 6844

In this paper, we show that some five-dimensional rotating black hole solutions of both gauged and ungauged supergravity, with independent rotation parameters...

DIMENSIONS | PHYSICS, MULTIDISCIPLINARY | DE-SITTER METRICS | GAUGED SUPERGRAVITY

DIMENSIONS | PHYSICS, MULTIDISCIPLINARY | DE-SITTER METRICS | GAUGED SUPERGRAVITY

Journal Article

Physics Letters B, ISSN 0370-2693, 01/2004, Volume 578, Issue 1-2, pp. 210 - 214

By carefully analyzing the radial part of the wave-equation for a scalar field in AdS , we show that for a particular range of boundary conditions on the...

GAUGED EXTENDED SUPERGRAVITY | ADS/CFT | PHYSICS, MULTIDISCIPLINARY | SYMMETRY-BREAKING | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

GAUGED EXTENDED SUPERGRAVITY | ADS/CFT | PHYSICS, MULTIDISCIPLINARY | SYMMETRY-BREAKING | Physics - High Energy Physics - Theory | High Energy Physics - Theory | Physics

Journal Article

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