Results 61 to 70 of about 275,930 (166)
Quasilinear asymptotically periodic Schrödinger–Poisson system with subcritical growth
Boundary Value Problems, 2020 The aim of this paper is establishing the existence of a nontrivial solution for the following quasilinear Schrödinger–Poisson system: { − Δ u + V ( x ) u − u Δ ( u 2 ) + K ( x ) ϕ ( x ) u = g ( x , u ) , x ∈ R 3 , − Δ ϕ = K ( x ) u 2 , x ∈ R 3 , u ∈ H 1
Jing Zhang, Lifeng Guo, Miaomiao Yang
doaj +1 more source
Nodal solutions to quasilinear elliptic equations on compact Riemannian manifolds [PDF]
arXiv, 2007 We show the existence of nodal solutions to perturbed quasilinear elliptic equations with critical Sobolev exponent on compact Riemannian manifolds. A nonexistence result is also given.
arxiv
Boundary Value Problems, 2020 In this paper, we study the following Choquard type quasilinear Schrödinger equation: − Δ u + u − Δ ( u 2 ) u = ( I α ∗ G ( u ) ) g ( u ) , x ∈ R N , $$ -\Delta u+u-\Delta \bigl(u^{2}\bigr)u=\bigl(I_{\alpha }*G(u) \bigr)g(u),\quad x\in {\mathbb{R}}^{N}, $
Yu-bo He, Jue-liang Zhou, Xiao-yan Lin
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Remarks on the Controllability of Some Quasilinear Equations [PDF]
arXiv, 2009 In this Note, we review the main existing results, methods, and some key open problems on the controllability of nonlinear hyperbolic and parabolic equations. Especially, we describe our recent universal approach to solve the local controllability problem of quasilinear time-reversible evolution equations, which is based on a new unbounded perturbation
arxiv
Solutions to a modified gauged Schrödinger equation with Choquard type nonlinearity
Open Mathematics, 2023 In this article, we study the following quasilinear Schrödinger equation: −Δu+V(∣x∣)u−κuΔ(u2)+qh2(∣x∣)∣x∣2(1+κu2)u+q∫∣x∣+∞h(s)s(2+κu2(s))u2(s)dsu=(Iα∗∣u∣p)∣u∣p−2u,x∈R2,-\Delta u+V\left(| x| )u-\kappa u\Delta \left({u}^{2})+q\frac{{h}^{2}\left(| x| )}{| x\
Xiao Yingying +3 more
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Nonlinear Muckenhoupt-Wheeden type bounds on Reifenberg flat domains, with applications to quasilinear Riccati type equations [PDF]
arXiv, 2013 A weighted norm inequality of Muckenhoupt-Wheeden type is obtained for gradients of solutions to a class of quasilinear equations with measure data on Reifenberg flat domains. This essentially leads to a resolution of an existence problem for quasilinear Riccati type equations with a gradient source term of arbitrary power law growth.
arxiv
A Sub-Supersolution Approach for a Quasilinear Kirchhoff Equation [PDF]
, 2014 In this paper we establish an existence result for a quasilinear Kirchhoff equation via a sub and supersolution approach, by using the pseudomonotone operators theory.
arxiv +1 more source
Boundary Value Problems, 2020 In this paper, a class of quasilinear Schrödinger equations with discontinuous nonlinearity is considered. After changing variables, by using nonsmooth critical point theory, we obtain the existence and concentration of positive solutions for this ...
Ziqing Yuan
doaj +1 more source
Global solutions of quasilinear systems of Klein--Gordon equations in 3D [PDF]
arXiv, 2012 We prove small data global existence and scattering for quasilinear systems of Klein-Gordon equations with different speeds, in dimension three. As an application, we obtain a robust global stability result for the Euler-Maxwell equations for electrons.
arxiv
The class of second order quasilinear equations: models, solutions and background of classification [PDF]
arXiv, 2017 The paper is concerned with the unsteady solutions to the model of mutually penetrating continua and quasilinear hyperbolic modification of the Burgers equation (QHMB). The studies were focused on the peculiar solutions of models in question. On the base of these models and their solutions, the ideas of second order quasilinear models classification ...
arxiv