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Journal of Functional Analysis, ISSN 0022-1236, 12/2015, Volume 269, Issue 11, pp. 3500 - 3527
In this paper, we study the existence and asymptotic behavior of nodal solutions to the following Kirchhoff... 
Nodal solutions | Nonlocal term | Kirchhoff-type equations
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 Schrödinger... 
Nodal solutions | Gauged Schrödinger equation | Asymptotic behavior
Journal Article
Advanced Nonlinear Studies, ISSN 1536-1365, 2014, Volume 14, Issue 2, pp. 483 - 510
Journal Article
Archive for Rational Mechanics and Analysis, ISSN 0003-9527, 4/2013, Volume 208, Issue 1, pp. 305 - 339
We consider the following nonlinear Schrödinger system in $${\mathbb{R}^3}$$ $$\left\{\begin{array}{ll}-\Delta u + P(|x|)u = \mu u^{2}u + \beta v^2u,\quad x... 
Mechanics | Physics, general | Fluid- and Aerodynamics | Statistical Physics, Dynamical Systems and Complexity | Theoretical, Mathematical and Computational Physics | Physics | PHASE-SEPARATION | R-N | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | MECHANICS | BOUND-STATES | SOLITARY WAVES | EQUATIONS | GROUND-STATES | Bose-Einstein condensates
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 11/2019, Volume 371, Issue 11, p. 7559
We consider the following nonlinear Schrödinger system with mixed couplings in \mathbb{R}^3: \displaystyle -\Delta u_i + \lambda _i... 
Journal Article
JOURNAL OF FUNCTIONAL ANALYSIS, ISSN 0022-1236, 12/2015, Volume 269, Issue 11, pp. 3500 - 3527
In this paper, we study the existence and asymptotic behavior of nodal solutions to the following Kirchhoff problem -(a+b integral(3)(R)vertical bar del u... 
Nodal solutions | MATHEMATICS | SIGN-CHANGING SOLUTIONS | Kirchhoff-type equations | SCALAR FIELD-EQUATIONS | Non local term
Journal Article
Communications in Contemporary Mathematics, ISSN 0219-1997, 02/2020, Volume 22, Issue 1, p. 1850074
We consider the existence and concentration of positive solutions to a singularly perturbed doubly nonlocal elliptic equation − 2 a + b ∫ ℝ 3 | ∇ u | 2 d x Δ u... 
Hartree-type nonlinearity | Nonlocal elliptic problem | concentration phenomena | penalization method | single-peak solution | MATHEMATICS, APPLIED | NONLINEAR SCHRODINGER-EQUATIONS | POSITIVE SOLUTIONS | BEHAVIOR | FIELD | STANDING WAVES | MATHEMATICS | BOUND-STATES
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 03/2018, Volume 264, Issue 6, pp. 4006 - 4035
Journal Article
Annali di Matematica Pura ed Applicata (1923 -), ISSN 0373-3114, 8/2018, Volume 197, Issue 4, pp. 1227 - 1246
This paper deals with the following supercritical Hénon-type equation $$\begin{aligned} {\left\{ \begin{array}{ll} -\Delta u=|x|^\alpha |u|^{p_\alpha... 
35J40 | Secondary 35J05 | Lyapunov–Schmidt reduction | Hénon-type equation | Mathematics, general | Mathematics | Primary 35J60 | Sign-changing bubble tower solutions | Information science
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 02/2019, Volume 60, Issue 2, p. 21501
We study the following fractional Schrödinger equation ε2s(−Δ)su+Vu=|u|p−2u, x∈ RN. We show that if the external potential V∈C(RN;[0,∞)) has a local minimum... 
EXISTENCE | STATES | PHYSICS, MATHEMATICAL | POSITIVE SOLUTIONS | Variational methods | Schroedinger equation
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 09/2016, Volume 144, Issue 9, pp. 4055 - 4063
In this paper, we establish a relationship between the elliptic system \displaystyle \left \{ \begin {array}{ll} -\Delta u +\lambda u=\mu _1 \vert u\v... ...ga... 
EXISTENCE | MATHEMATICS | MATHEMATICS, APPLIED | NONLINEAR SCHRODINGER-EQUATIONS | SYMMETRY | BOUND-STATES | SOLITARY WAVES | POSITIVE SOLUTIONS | COMPONENTS | GROUND-STATES | UNIQUENESS
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 8/2019, Volume 58, Issue 4, pp. 1 - 34
In this paper, we first prove that each positive solution of $$\begin{aligned} -\Delta u=\big (I_{\alpha }*|u|^{2_{\alpha }^{*}}\big )|u|^{2_{\alpha }^*-2}u,... 
35J20 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | 35A02 | 35J91 | 35A01 | 35B65 | Mathematics | MATHEMATICS | MATHEMATICS, APPLIED | ASYMPTOTIC SYMMETRY | CLASSIFICATION | NODAL SOLUTIONS | THEOREMS
Journal Article
Calculus of Variations and Partial Differential Equations, ISSN 0944-2669, 12/2016, Volume 55, Issue 6, pp. 1 - 30
In this paper, we study the following Dirichlet problem with Sobolev critical exponent $$\begin{aligned} \left\{ \begin{array}{ll}\displaystyle -\Delta... 
35J50 | Systems Theory, Control | Calculus of Variations and Optimal Control; Optimization | Analysis | Theoretical, Mathematical and Computational Physics | Mathematics | 35J47 | 35J57 | SCHRODINGER-EQUATIONS | TOPOLOGY | MATHEMATICS | MATHEMATICS, APPLIED | R-N | CRITICAL EXPONENT | GLOBAL COMPACTNESS RESULT | POSITIVE SOLUTIONS | DOMAINS | Resveratrol
Journal Article
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, ISSN 0308-2105, 08/2019, Volume 149, Issue 4, pp. 1097 - 1122
Journal Article
Proceedings of the London Mathematical Society, ISSN 0024-6115, 06/2017, Volume 114, Issue 6, pp. 1005 - 1043
Journal Article
Journal of Materials Chemistry A, ISSN 2050-7488, 2017, Volume 5, Issue 18, pp. 8352 - 8359
The technological implementation of superamphiphobic surfaces has been largely hindered by the stability issues caused by surface abrasion, corrosion,... 
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 05/2014, Volume 55, Issue 5, p. 51501
Journal Article
Journal of Functional Analysis, ISSN 0022-1236, 12/2015, Volume 269, Issue 11
To access, purchase, authenticate, or subscribe to the full-text of this article, please visit this link: http://dx.doi.org/10.1016/j.jfa.2015.09.012 In this... 
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2015, Volume 258, Issue 1, pp. 115 - 147
This paper is concerned with the positive solutions for generalized quasilinear Schrödinger equations in RN with critical growth which have appeared from... 
Positive solutions | Quasilinear Schrödinger equations | Critical growth | EXISTENCE | MATHEMATICS | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | Quasilinear Schrodinger equations | Plasma physics
Journal Article
Journal of Differential Equations, ISSN 0022-0396, 01/2016, Volume 260, Issue 2, pp. 1228 - 1262
This paper is concerned with the solitary wave solutions for a generalized quasilinear Schrödinger equation in RN involving critical exponents, which have... 
Critical exponents | Quasilinear Schrödinger equations | Solitary wave solutions | 35Q55 | 35J20 | 35J62 | EXISTENCE | MATHEMATICS | CALCULUS | CONCENTRATION-COMPACTNESS PRINCIPLE | Quasilinear Schrodinger equations | Plasma physics
Journal Article
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