Results 31 to 40 of about 275,930 (166)
Quasilinear elliptic equations with natural growth and quasilinear elliptic equations with singular drift [PDF]
Nonlinear Anal. 185 (2019), 206-215, 2018 We prove an existence result for a quasilinear elliptic equation satisfying natural growth conditions. As a consequence, we deduce an existence result for a quasilinear elliptic equation containing a singular drift. A key tool, in the proof, is the study of an auxiliary variational inequality playing the role of "natural constraint"
arxiv +1 more source
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 100, Issue 5, May 2020., 2020 Fifty years have passed since Truesdell's seminal paper on the origin and status of the balance for the moment of momentum was published in ZAMM. It is time to take stock: Important new developments in the theory of generalized continua with internal degrees of freedom and some fascinating fundamental applications need to be pointed out….
Wolfgang H. Müller +2 more
wiley +1 more source
Advanced Nonlinear Studies, 2019 We study the following generalized quasilinear Schrödinger equation:
Deng Yinbin, Huang Wentao, Zhang Shen
doaj +1 more source
Ground states of Nehari-Pohožaev type for a quasilinear Schrödinger system with superlinear reaction
Electronic Research Archive, 2023 This article is devoted to study the following quasilinear Schrödinger system with super-quadratic condition: $ \begin{equation*} \left\{\begin{matrix} -\Delta u+V_{1}(x)u-\Delta (u^{2})u = h(u,v),\ x\in \mathbb{R}^{N},\\ -\Delta v+V_{2}(x)v-\Delta (v^
Yixuan Wang, Xianjiu Huang
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WIREs Computational Molecular Science, Volume 10, Issue 1, January/February 2020., 2020 Pictorial representation of the quantum graph applied to the quantum‐dynamical description of the low‐energy vibrations of . The 120 internal rotation and 60 flip edges connecting the 120 equivalent vertices (versions) are indicated by blue and red lines, respectively Abstract The concept of quasistructural molecules is introduced.
Attila G. Császár +2 more
wiley +1 more source
Existence of a bound state solution for quasilinear Schrödinger equations
Advances in Nonlinear Analysis, 2017 In this article, we establish the existence of bound state solutions for a class of quasilinear Schrödinger equations whose nonlinear term is asymptotically linear in ℝN{\mathbb{R}^{N}}.
Xue Yan-Fang, Tang Chun-Lei
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2021 In this paper, we study the following quasilinear Schrödinger equation \begin{equation*} \begin{split} -\Delta u&+V(x)u-\kappa u\Delta(u^2)+\mu\frac{h^2(|x|)}{|x|^2}(1+\kappa u^2)u\\ &+\mu\left(\int_{|x|}^{+\infty}\frac{h(s)}{s}(2+\kappa u^2(s))u^2(s ...
Yingying Xiao, Chuanxi Zhu
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Multiple nonsymmetric nodal solutions for quasilinear Schrödinger system
Electronic Journal of Qualitative Theory of Differential Equations, 2022 In this paper, we consider the quasilinear Schrödinger system in $\mathbb R^{N}$ ($N\geq3$): \begin{equation*} \begin{cases} -\Delta u+ A(x)u-\frac{1}{2}\Delta(u^{2})u=\frac{2\alpha }{\alpha+\beta}|u|^{\alpha-2}u|v|^{\beta},\\ -\Delta v+ Bv-\frac{1}{2}\
Jianqing Chen, Qian Zhang
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Boundary Value Problems, 2019 The application of the new criteria for minimally thin sets with respect to the Schrödinger operator to an approximate solution of singular Schrödinger-type boundary value problems are discussed in this study.
Bo Meng
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Standing waves for quasilinear Schrödinger equations involving double exponential growth
AIMS Mathematics, 2023 We will focus on the existence of nontrivial, nonnegative solutions to the following quasilinear Schrödinger equation $ \begin{equation*} \left\lbrace\begin{array}{rcll} -{\rm div} \Big(\log \dfrac{e}{|x|}\nabla u\Big) -{\rm div} \Big(\log \dfrac{e}{
Yony Raúl Santaria Leuyacc
doaj +1 more source