On the existence of positive least energy solutions for a coupled Schrödinger system with critical exponent
Sign Up to like & getrecommendations! Published in 2017 at "Mathematical Methods in The Applied Sciences"
DOI: 10.1002/mma.4034
Abstract: In this paper, we consider the following coupled Schrodinger system with critical exponent: −Δu=λu+|u|α−2u|v|β−1v,x∈Ω,−Δv=μ|v|2∗−2v+|u|α|v|β−1,x∈Ω,u,v>0,x∈Ω,u=v=0,x∈∂Ω, where Ω⊂RN(N≥3) is a smooth bounded domain, λ > 0,μ≥0, and α,β≥1,α+β=2∗=2NN−2. Under certain conditions on λ and μ, we show… read more here.
Keywords: positive least; critical exponent; least energy; system critical ... See more keywords
Exact bounds for dynamical critical exponents of transverse-field Ising chains with a correlated disorder
Sign Up to like & getrecommendations! Published in 2021 at "Annals of Physics"
DOI: 10.1016/j.aop.2021.168483
Abstract: Abstract This study investigates the dynamical critical exponent of disordered Ising chains under transverse fields to examine the effect of a correlated disorder on quantum phase transitions. The correlated disorder, where the on-site transverse field… read more here.
Keywords: disorder; critical exponent; dynamical critical; correlated disorder ... See more keywords
Reversible magnetocaloric effect and critical exponent analysis in Mn-Fe-Ni-Sn Heusler alloys
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Alloys and Compounds"
DOI: 10.1016/j.jallcom.2018.02.269
Abstract: Abstract We report the magnetic and magnetocaloric properties of Mn48-xFexNi41Sn11 (x = 8.5, 10.5) Heusler alloys. The temperature dependent magnetization curve (M vs T curve) reveals that these alloys show only second order ferromagnetic (FM) to paramagnetic… read more here.
Keywords: heusler; effect critical; reversible magnetocaloric; heusler alloys ... See more keywords
Bounded state solution of degenerate Kirchhoff type problem with a critical exponent
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2019.06.013
Abstract: Abstract In the present paper, we investigate the following degenerate Kirchhoff type problem { − ( b ∫ R N | ∇ u | 2 d x ) Δ u + V ( x )… read more here.
Keywords: kirchhoff type; problem; type problem; critical exponent ... See more keywords
A perturbed Kirchhoff problem with critical exponent
Sign Up to like & getrecommendations! Published in 2019 at "Applicable Analysis"
DOI: 10.1080/00036811.2019.1687884
Abstract: ABSTRACT In this paper, we consider a class of Kirchhoff problems as follows (1) where a, b>0 are given constants, ϵ is a small parameter and . We first prove the nondegeneracy of positive solutions… read more here.
Keywords: perturbed kirchhoff; kirchhoff problem; kirchhoff; critical exponent ... See more keywords
Infinitely many solutions for non-local elliptic non-degenerate p-Kirchhoff equations with critical exponent
Sign Up to like & getrecommendations! Published in 2019 at "Complex Variables and Elliptic Equations"
DOI: 10.1080/17476933.2019.1627527
Abstract: ABSTRACT In this paper, we obtain the existence of infinitely many weak solutions with negative energy for non-degenerate elliptic Kirchhoff equation with critical exponent driven by the fractional p-Laplacian. We show this result when is… read more here.
Keywords: non degenerate; critical exponent; kirchhoff; infinitely many ... See more keywords
Singular elliptic problems with unbalanced growth and critical exponent
Sign Up to like & getrecommendations! Published in 2020 at "Nonlinearity"
DOI: 10.1088/1361-6544/ab81ed
Abstract: In this article, we study the existence and multiplicity of solutions of the following $(p,q)$-Laplace equation with singular nonlinearity: \begin{equation*} \left\{\begin{array}{rllll} -\Delta_{p}u-\ba\Delta_{q}u & = \la u^{-\de}+ u^{r-1}, \ u>0, \ \text{ in } \Om \\… read more here.
Keywords: unbalanced growth; critical exponent; growth critical; problems unbalanced ... See more keywords
Aspherical deformations of the Choptuik spacetime
Sign Up to like & getrecommendations! Published in 2018 at "Physical Review D"
DOI: 10.1103/physrevd.98.084012
Abstract: We perform dynamical and nonlinear numerical simulations to study critical phenomena in the gravitational collapse of massless scalar fields in the absence of spherical symmetry. We evolve axisymmetric sets of initial data and examine the… read more here.
Keywords: spherical symmetry; aspherical deformations; exponent echoing; critical exponent ... See more keywords
On the critical exponent of the one-dimensional Cucker–Smale model on a general graph
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Models and Methods in Applied Sciences"
DOI: 10.1142/s0218202520500335
Abstract: We study a critical exponent of the flocking behavior to the one-dimensional 1D Cucker–Smale (C–S) model with a regular inverse power law communication on a general network with a spanning tree. Fo... read more here.
Keywords: critical exponent; one dimensional; smale model; cucker smale ... See more keywords
Existence of multiple solutions for a quasilinear Neumann problem with critical exponent
Sign Up to like & getrecommendations! Published in 2018 at "Boundary Value Problems"
DOI: 10.1186/s13661-018-0984-0
Abstract: The main purpose of this paper is to establish the existence and multiplicity of nontrivial solutions for a quasilinear Neumann problem with critical exponent. It is shown, by the methods of the Lions concentration-compactness principle… read more here.
Keywords: quasilinear neumann; critical exponent; neumann problem; solutions quasilinear ... See more keywords
Ground State Solution of Pohožaev Type for Quasilinear Schrödinger Equation Involving Critical Exponent in Orlicz Space
Sign Up to like & getrecommendations! Published in 2019 at "Mathematics"
DOI: 10.3390/math7090779
Abstract: We study the following quasilinear Schrödinger equation involving critical exponent - Δ u + V ( x ) u - Δ ( u 2 ) u = A ( x ) | u | p… read more here.
Keywords: schr dinger; quasilinear schr; dinger equation; critical exponent ... See more keywords