Results 21 to 30 of about 2,058,787 (289)
Exactly solvable pairing model for superconductors with a p+ip-wave symmetry [PDF]
, 2009 We present the exact Bethe ansatz solution for the two-dimensional BCS pairing Hamiltonian with p_x + i p_y symmetry. Using both mean-field theory and the exact solution we obtain the ground-state phase diagram parameterized by the filling fraction and ...
G. E. Volovik +4 more
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Ground-state Properties of Small-Size Nonlinear Dynamical Lattices [PDF]
, 2006 We investigate the ground state of a system of interacting particles in small nonlinear lattices with M > 2 sites, using as a prototypical example the discrete nonlinear Schroedinger equation that has been recently used extensively in the contexts of ...
A. Vezzani +6 more
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Ground states for a coupled Schrödinger system with general nonlinearities
Boundary Value Problems, 2020 We study a coupled Schrödinger system with general nonlinearities. By using variational methods, we prove the existence and asymptotic behaviour of ground state solution for the system with periodic couplings.
Xueliang Duan, Gongming Wei, Haitao Yang
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Ground State Solutions for Kirchhoff Type Quasilinear Equations
Advanced Nonlinear Studies, 2018 Abstract In this paper, we are concerned with quasilinear equations of Kirchhoff type, and prove the existence of ground state signed solutions and sign-changing solutions by using the Nehari method.
Liu Xiangqing, Zhao Junfang
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Fractional p&q-Laplacian problems with potentials vanishing at infinity [PDF]
Opuscula Mathematica, 2020 In this paper we prove the existence of a positive and a negative ground state weak solution for the following class of fractional \(p\&q\)-Laplacian problems \[\begin{aligned} (-\Delta)_{p}^{s} u + (-\Delta)_{q}^{s} u + V(x) (|u|^{p-2}u + |u|^{q-2}u)= K(
Teresa Isernia
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Ground state sign-changing solutions for Kirchhoff equations with logarithmic nonlinearity
Electronic Journal of Qualitative Theory of Differential Equations, 2019 In this paper, we study Kirchhoff equations with logarithmic nonlinearity: \begin{equation*} \begin{cases} -(a+b\int_\Omega|\nabla u|^2)\Delta u+ V(x)u=|u|^{p-2}u\ln u^2, & \mbox{in}\ \Omega,\\ u=0,& \mbox{on}\ \partial\Omega, \end{cases} \end{equation*}
Lixi Wen, Xianhua Tang, Sitong Chen
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Ground state solutions for periodic Discrete nonlinear Schrödinger equations
AIMS Mathematics, 2021 <abstract><p>In this paper, we consider the following periodic discrete nonlinear Schrödinger equation</p> <p><disp-formula> <label/> <tex-math id="FE1"> \begin{document}$ \begin{equation*} Lu_{n}-\omega u_{n} = g_{n}(u_{n}), \qquad n = (n_{1}, n_{2}, ..., n_{m})\in \mathbb{Z}^{m}, \end{equation*} $\end ...
Xionghui Xu, Jijiang Sun
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Multiple positive solutions for nonlinear coupled fractional Laplacian system with critical exponent
Boundary Value Problems, 2018 In this paper, we study the following critical system with fractional Laplacian: {(−Δ)su+λ1u=μ1|u|2∗−2u+αγ2∗|u|α−2u|v|βin Ω,(−Δ)sv+λ2v=μ2|v|2∗−2v+βγ2∗|u|α|v|β−2vin Ω,u=v=0in RN∖Ω, $$\textstyle\begin{cases} (-\Delta)^{s}u+\lambda_{1}u=\mu_{1}|u|^{2^{\ast}-
Maoding Zhen +3 more
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Comment on "Superfluid stability in the BEC-BCS crossover" [PDF]
, 2007 We point out an error in recent work by Pao, Wu, and Yip [Phys. Rev.B {\bf 73}, 132506 (2006)], that stems from their use of a necessary but not sufficient condition [positive compressibility (magnetic susceptibility) and superfluid stiffness] for the ...
Radzihovsky, Leo, Sheehy, Daniel E.
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Ground state solutions for quasilinear Schrödinger systems
Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo, Yuxia, Tang, Zhongwei
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