Results 31 to 40 of about 2,059,051 (311)

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
doaj   +1 more source

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, Jinchun He, Haoyuan Xu, Meihua Yang   +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.
core   +3 more sources

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
doaj   +1 more source

Positive ground state solutions for asymptotically periodic generalized quasilinear Schrödinger equations

AIMS Mathematics, 2022
In this paper, we study the existence of a positive ground state solution for a class of generalized quasilinear Schrödinger equations with asymptotically periodic potential.
Shulin Zhang
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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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Existence of sign-changing solution with least energy for a class of Kirchhoff-type equation in $\mathbb{R}^N$

Electronic Journal of Qualitative Theory of Differential Equations, 2017
We consider the existence of least energy sign-changing (nodal) solution of Kirchhoff-type elliptic problems with general nonlinearity. Using a truncated technique and constrained minimization on the nodal Nehari manifold, we obtain that the Kirchhoff ...
Xianzhong Yao, Chunlai Mu
doaj   +1 more source

Ground state solutions for a diffusion system

Computers & Mathematics with Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhang, Wen, Tang, Xianhua, Zhang, Jian
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A Note on Inhomogeneous Ground States at Large Global Charge [PDF]

, 2017
In this note we search for the ground state, in infinite volume, of the $D=3$ Wilson-Fisher conformal $O(4)$ model, at nonzero values of the two independent charge densities $\rho_{1,2}$.
Hellerman, Simeon, Kobayashi, Nozomu, Maeda, Shunsuke, Watanabe, Masataka   +3 more
core   +2 more sources