Results 51 to 60 of about 275,930 (166)
Journal of Mathematics, Volume 2024, Issue 1, 2024.In this paper, we consider the following quasilinear p⟶⋅‐elliptic problems with flux boundary conditions of the type −∑i=1N∂/∂xiaix,∂u/∂xi+bxupMx−2u=f1x,u−sgnug1x in Ω,∑i=1Naix,∂u/∂xiνi=cxuqx−2u+f2x,u−sgnug2x on ∂Ω.. Using the Fountain theorem and dual Fountain theorem, we prove the existence and multiplicity of solutions for a given problem, subject ...
Ahmed Ahmed +2 more
wiley +1 more source
Mathematical Problems in Engineering, Volume 2018, Issue 1, 2018., 2018 In this paper, we study the existence and multiplicity of nontrivial solutions for a class of biharmonic elliptic equation with Sobolev critical exponent in a bounded domain. By using the idea of the previous paper, we generalize the results and prove the existence and multiplicity of nontrivial solutions of the biharmonic elliptic equations.
Xiaoyong Qian +3 more
wiley +1 more source
Existence and Uniqueness of Positive Solution for p‐Laplacian Kirchhoff‐Schrödinger‐Type Equation
Advances in Mathematical Physics, Volume 2018, Issue 1, 2018., 2018 We study the existence and uniqueness of positive solution for the following p‐Laplacian‐Kirchhoff‐Schrödinger‐type equation: -a+b∫Ω ∇up∆pu+λvxup-2u=hfu-μgu, in Ω, u>00, in Ω, u=,on ∂Ω, where Ω ⊂ RN (N ≥ 3), λ, μ ≥ 0 are parameters, v(x), f(u), g(u) and h are under some suitable assumptions.
Wei Han, Jiangyan Yao, Pietro d’Avenia
wiley +1 more source
Spread of Entanglement in Non‐Relativistic Theories
Advances in High Energy Physics, Volume 2018, Issue 1, 2018., 2018 We use a simple holographic toy model to study global quantum quenches in strongly coupled, hyperscaling‐violating‐Lifshitz quantum field theories using entanglement entropy as a probe. Generalizing our conformal field theory results, we show that the holographic entanglement entropy of small subsystems can be written as a simple linear response ...
Sagar F. Lokhande, Sandipan Kundu
wiley +1 more source
Instability of standing waves for a quasi-linear Schrödinger equation in the critical case
AIMS Mathematics, 2022 We consider the following quasi-linear Schrödinger equation. $ \begin{align} i\frac{\partial\psi}{\partial t}+\triangle\psi+\psi\triangle|\psi|^2+|\psi|^{p-1}\psi = 0,x\in \mathbb{R}^D, D\geq1, \;\;\;\;\;\;\;\;\;(Q)\end{align} $ where $ \psi ...
Xiaoguang Li, Chaohe Zhang
doaj +1 more source
Existence of weak solutions for quasilinear Schrödinger equations with a parameter
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper, we study the following quasilinear Schrödinger equation of the form \begin{equation*} -\Delta_{p}u+V(x)|u|^{p-2}u-\left[\Delta_{p}(1+u^{2})^{\alpha/2}\right]\frac{\alpha u}{2(1+u^{2})^{(2-\alpha)/2}}=k(u),\qquad x\in \mathbb{R}^{N}, \end ...
Yunfeng Wei +3 more
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Nonlinear Analysis, 2021 In this paper, we establish the results of multiple solutions for a class of modified nonlinear Schrödinger equation involving the p-Laplacian. The main tools used for analysis are the critical points theorems by Ricceri and the dual approach.
Xinguang Zhang +3 more
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Infinitely many solutions for a quasilinear Schrödinger equation with Hardy potentials
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this article, we study the following quasilinear Schr\"odinger equation \begin{equation*} -\Delta u-\mu\frac{u}{|x|^{2}}+V(x)u-(\Delta(u^{2}))u=f(x,u),\qquad x\in \mathbb{R}^{N}, \end{equation*} where $ V(x) $ is a given positive potential and the ...
Tingting Shang, Ruixi Liang
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Behavior of bounded solutions of quasilinear elliptic equations on Riemannian manifolds [PDF]
, 2007 This paper deals with bounded solutions of quasilinear elliptic equations on Riemannian manifolds satisfying special condition.
arxiv +1 more source
Global solutions of quasilinear wave equations [PDF]
arXiv, 2005 We show that a general class of quasilinear wave equations have global solutions for small initial data as we conjectured in an earlier paper.
arxiv