X
Search Filters
Format Format
Subjects Subjects
Subjects Subjects
X
Sort by Item Count (A-Z)
Filter by Count
mathematics, applied (39) 39
mathematics (33) 33
hartree-type nonlinearity (13) 13
existence (12) 12
positive solutions (11) 11
hartree type nonlinearity (9) 9
hartree-type nonlinearities (9) 9
scattering (9) 9
mathematics, general (8) 8
nonlinearity (8) 8
schrodinger-equations (8) 8
uniqueness (8) 8
ground state solution (7) 7
multiplicity (7) 7
35j60 (6) 6
choquard equation (6) 6
global well-posedness (6) 6
ground state (6) 6
variational methods (6) 6
35j20 (5) 5
bound-states (5) 5
hartree-type equation (5) 5
mathematical analysis (5) 5
35q55 (4) 4
analysis (4) 4
cauchy-problem (4) 4
concentration (4) 4
magnetic-field (4) 4
nonlinear schrodinger-equations (4) 4
schroedinger equation (4) 4
concentration-compactness principle (3) 3
dirac equation (3) 3
equations (3) 3
fractional schrodinger equation (3) 3
fractional schrödinger equation (3) 3
global existence (3) 3
limit (3) 3
mathematical methods in physics (3) 3
modified wave-operators (3) 3
nonlinear equations (3) 3
nontrivial solutions (3) 3
physics, mathematical (3) 3
radial symmetry (3) 3
regularity (3) 3
schrodinger-poisson system (3) 3
small data scattering (3) 3
sobolev (3) 3
standing waves (3) 3
system (3) 3
variational method (3) 3
35b09 (2) 2
35b25 (2) 2
35b38 (2) 2
35b40 (2) 2
asymptotic properties (2) 2
behavior (2) 2
blow-up (2) 2
blowup (2) 2
calculus (2) 2
concentration behavior (2) 2
concentration phenomena (2) 2
dirichlet boundary-conditions (2) 2
electromagnetic-fields (2) 2
engineering (2) 2
finite time blowup (2) 2
formulas (2) 2
fractional laplacians (2) 2
ground-state solutions (2) 2
hartree type (2) 2
high-energy solutions (2) 2
inverse scattering (2) 2
kirchhoff equation (2) 2
kirchhoff equations (2) 2
kirchhoff-type equation (2) 2
kirchhoff-type system (2) 2
laplacian (2) 2
line (2) 2
liouville type theorem (2) 2
long-range scattering (2) 2
multiple positive solutions (2) 2
nodal solutions (2) 2
nonlinear choquard equation (2) 2
nonlinear schrodinger equation (2) 2
nonlinear schrodinger-equation (2) 2
nonlinear schrödinger equation (2) 2
operators (2) 2
physics, multidisciplinary (2) 2
r-n (2) 2
reconstruction (2) 2
semirelativistic hartree type equations (2) 2
sign-changing potential (2) 2
sobolev space (2) 2
space dimension (2) 2
spaces (2) 2
stability (2) 2
strichartz estimates (2) 2
symmetry (2) 2
symmetry operators (2) 2
systems (2) 2
theoretical and applied mechanics (2) 2
more...
Language Language
Publication Date Publication Date
Click on a bar to filter by decade
Slide to change publication date range


Nonlinear Analysis, ISSN 0362-546X, 05/2017, Volume 155, pp. 52 - 64
In this paper we consider the nonlinear fractional logarithmic Schrödinger equation. By using a compactness method, we construct a unique global solution of... 
Standing waves | Fractional logarithmic Schrödinger equation | Stability | MATHEMATICS | MATHEMATICS, APPLIED | HARTREE TYPE NONLINEARITY | Fractional logarithmic Schrodinger equation | FUNCTIONALS
Journal Article
Funkcialaj Ekvacioj, ISSN 0532-8721, 2013, Volume 56, Issue 2, pp. 193 - 224
We study the Cauchy problem for the fractional Schrödinger equation i∂tu = (m2−Δ)α/2u + F(u) in R1+n, where n ≥ 1, m ≥ 0, 1 < α < 2, and F stands for the... 
Fractional Schrödinger equation | Strichartz estimates | Finite time blowup | Hartree type nonlinearity | Fractional schrödinger equation | MATHEMATICS | MATHEMATICS, APPLIED | Fractional Schrodinger equation
Journal Article
Advanced Nonlinear Studies, ISSN 1536-1365, 2019, Volume 19, Issue 4, pp. 779 - 795
In this paper, we consider the Kirchhoff equation with Hartree-type nonlinearity {-(epsilon(2) a + epsilon b integral(R3)vertical bar del u vertical bar(2) dx... 
Concentration | Hartree-type Nonlinearity | Kirchhoff Equation | Variational Methods | Multiplicity | SCHRODINGER-EQUATIONS | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | BOUND-STATES | REGULARITY | POSITIVE SOLUTIONS
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 2007, Volume 66, Issue 8, pp. 1770 - 1781
We study the inverse scattering problem for the nonlinear Schrödinger equation and for the nonlinear Klein–Gordon equation with the generalized Hartree type... 
Inverse scattering | Hartree type nonlinearity | Scattering | CUBIC CONVOLUTION NONLINEARITY | MATHEMATICS | WAVE | MATHEMATICS, APPLIED | scattering | RECONSTRUCTION | LINE | inverse scattering | CAUCHY-PROBLEM | UNIQUENESS
Journal Article
Applied Mathematics Letters, ISSN 0893-9659, 07/2018, Volume 81, pp. 21 - 26
In this paper, we study the following Schrödinger equation −Δu+Vλ(x)u+μϕ|u|p−2u=f(x,u)+β(x)|u|ν−2u, in R3,(−Δ)α2ϕ=μ|u|p, in R3,where μ≥0 is a parameter,... 
Hartree-type nonlinearity | Variational methods | Schrödinger equations | Sign-changing potential | MATHEMATICS, APPLIED | POISSON SYSTEMS | Schrodinger equations
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 04/2017, Volume 448, Issue 1, pp. 60 - 80
In this paper, we discuss the existence and the concentration of sign-changing solutions to a class of Kirchhoff-type systems with Hartree-type nonlinearity in... 
Hartree-type nonlinearity | Sign-changing solution | Kirchhoff-type system | Concentration | MATHEMATICS, APPLIED | MULTIPLICITY | GROUND-STATE | POSITIVE SOLUTIONS | NONTRIVIAL SOLUTIONS | EQUATIONS | HIGH-ENERGY SOLUTIONS | SCHRODINGER-POISSON SYSTEM | MATHEMATICS | R-N | R-3
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 05/2019, Volume 473, Issue 1, pp. 587 - 608
In this paper we study the Kirchhoff equation with Hartree-type nonlinearities−(a+b∫R3|∇u|2)Δu+V(x)u=(Iα⁎|u|p)|u|p−2uin R3, where a,b>0, V:R3→R is a potential... 
Ground state | Kirchhoff equation | Hartree-type nonlinearities | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | CHOQUARD-EQUATIONS | NODAL SOLUTIONS | DECAY | BEHAVIOR
Journal Article
Nonlinear Analysis, ISSN 0362-546X, 04/2014, Volume 99, pp. 35 - 48
We consider the following Kirchhoff-type equation in R3−(a+b∫R3|∇u|2dx)Δu+(1+μg(x))u=(1|x|α∗|u|p)|u|p−2u, where a>0, b≥0 are constants, α∈(0,3), p∈(2,6−α), μ>0... 
Kirchhoff-type equation | Hartree-type nonlinearity | Variational methods | Ground state solution | SCHRODINGER-EQUATIONS | EXISTENCE | MATHEMATICS, APPLIED | MULTIPLICITY | POSITIVE SOLUTIONS | NONTRIVIAL SOLUTIONS | MATHEMATICS | R-N | MAGNETIC-FIELD | Mathematical analysis | Nonlinearity | Manifolds | Texts | Ground state | Constants
Journal Article
by Cao, DM and Dai, W
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, ISSN 0308-2105, 08/2019, Volume 149, Issue 4, pp. 979 - 994
Journal Article
Applicable Analysis, ISSN 0003-6811, 01/2018, Volume 97, Issue 2, pp. 255 - 273
Journal Article
Zeitschrift für angewandte Mathematik und Physik, ISSN 0044-2275, 12/2018, Volume 69, Issue 6, pp. 1 - 20
Journal Article
Mediterranean Journal of Mathematics, ISSN 1660-5446, 6/2018, Volume 15, Issue 3, pp. 1 - 17
This paper is concerned with the following Kirchhoff-type equations: $$\begin{aligned} \left\{ \begin{array}{ll} \displaystyle -\big (a+b\int _{\mathbb... 
35B38 | Variational methods | 35J60 | Hartree-type nonlinearity | Mathematics, general | Symmetric mountain pass theorem | Mathematics | Kirchhoff equations | Sign-changing potential | EXISTENCE | MATHEMATICS, APPLIED | MULTIPLE SOLUTIONS | SCHRODINGER-POISSON SYSTEMS | NONTRIVIAL SOLUTIONS | GROUND-STATE SOLUTIONS | MATHEMATICS | ENERGY SOLUTIONS
Journal Article
Discrete and Continuous Dynamical Systems - Series S, ISSN 1937-1632, 12/2016, Volume 9, Issue 6, pp. 1613 - 1628
In this paper, we first give a sharp variational characterization to the smallest positive constant C-VGN in the following Variant Gagliardo-Nirenberg... 
Variant Gagliardo-Nirenberg interpolation inequality | Minimal action solution | Hartree type nonlinearity | Sharp variational characterization | EXISTENCE | MATHEMATICS, APPLIED | minimal action solution | STABILITY | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | STANDING WAVES | sharp variational characterization
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 2/2017, Volume 182, Issue 2, pp. 335 - 358
We consider the following singularly perturbed nonlocal elliptic problem $$\begin{aligned} -\left( \varepsilon ^{2}a+\varepsilon b\displaystyle \int _{\mathbb... 
Kirchhoff-type equation | Ground state solution | 35B25 | 35J60 | Hartree-type nonlinearity | Mathematics, general | Mathematics | Variational method | 35B40 | Concentration phenomena | SCHRODINGER-EQUATIONS | MATHEMATICS | KIRCHHOFF-TYPE EQUATIONS | POSITIVE SOLUTIONS | CHOQUARD EQUATION | HARTREE-TYPE NONLINEARITIES
Journal Article
Results in Mathematics, ISSN 1422-6383, 3/2019, Volume 74, Issue 1, pp. 1 - 26
In this paper, we consider the following nonlinear problem of Kirchhoff-type with Hartree-type nonlinearities: $$\begin{aligned} \left\{ \begin{array}{ll}... 
35J20 | positive solution | Pohožaev identity | 35J60 | ground state solution | Hartree-type nonlinearity | Mathematics, general | Mathematics | Kirchhoff equations | EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | MULTIPLICITY | STATE SOLUTIONS | POSITIVE SOLUTIONS | HIGH-ENERGY SOLUTIONS | Pohoaev identity
Journal Article
Applicable Analysis, ISSN 0003-6811, 12/2017, Volume 96, Issue 16, pp. 2846 - 2851
This paper deals with the Cauchy problem of the nonlinear Schrödinger equation with Combined Nonlinearities. By using the generalized Gagliardo-Nirenberg... 
35Q55 | sharp criteria | global existence | Hartree-type | Nonlinear Schrödinger equation | blow-up solution | MATHEMATICS, APPLIED | Nonlinear Schrodinger equation | CAUCHY-PROBLEM | BLOW-UP | Formulas (mathematics) | Schroedinger equation | Cauchy problem
Journal Article
Journal of Mathematical Analysis and Applications, ISSN 0022-247X, 08/2018, Volume 464, Issue 1, pp. 402 - 420
Journal Article
Lecture Notes in Engineering and Computer Science, ISSN 2078-0958, 2015, Volume 2, pp. 811 - 814
Conference Proceeding
No results were found for your search.

Cannot display more than 1000 results, please narrow the terms of your search.