Results 91 to 100 of about 1,711 (146)

A Unified Approach to Singularly Perturbed Quasilinear Schrödinger Equations [PDF]

, 2020
Daniele Cassani, Youjun Wang, Jianjun Zhang   +2 more
openalex   +1 more source

The Turbulent Dynamo. [PDF]

J Fluid Mech, 2021
Tobias SM.
europepmc   +1 more source

Soliton solutions for quasilinear modified Schrödinger equations in applied sciences

, 2022
Anna María Candela, Caterina Sportelli
openalex   +2 more sources

Ground state solutions for quasilinear Schrodinger equations with periodic potential

Electronic Journal of Differential Equations, 2020
This article concerns the quasilinear Schrodinger equation $$\displaylines{ -\Delta u-u\Delta (u^2)+V(x)u=K(x)|u|^{2\cdot2^*-2}u+g(x,u),\quad x\in\mathbb{R}^N, \cr u\in H^1(\mathbb{R}^N),\quad u>0, }$$ where V and K are positive, continuous and ...
Jing Zhang, Chao Ji
doaj  

Existence of infinitely many radial solutions for quasilinear Schrodinger equations

Electronic Journal of Differential Equations, 2014
In this article we prove the existence of radial solutions with arbitrarily many sign changes for quasilinear Schrodinger equation $$ -\sum_{i,j=1}^{N}\partial_j(a_{ij}(u)\partial_iu) +\frac{1}{2}\sum_{i,j=1}^{N}a'_{ij}(u)\partial_iu\partial_ju+V(x ...
Gui Bao, Zhiqing Han
doaj  

Multiplicity of Solutions for a Sublinear Quasilinear Schrödinger Equation [PDF]

, 2019
Gui Bao, Tingzhi Cheng
openalex   +1 more source

Quasilinear Schrödinger equations with general sublinear conditions

Electronic Journal of Qualitative Theory of Differential Equations
In this paper, we study the quasilinear Schrödinger equations $$-\Delta u+V(x)u+\Delta(u^2)u = f(x, u),\qquad\forall x\in\mathbb{R}^N,$$ where $V\in C(\mathbb{R}^N;\mathbb{R})$ may change sign and $f$ is only locally defined for $|u|$ small.
Safa Bridaa, Abderrazek Hassine, Taib Talbi   +2 more
doaj   +1 more source

Existence and multiplicity of sign-changing solutions for quasilinear Schrödinger equations with sub-cubic nonlinearity [PDF]

, 2023
Hui Zhang, Zhisu Liu, Chun‐Lei Tang, Jianjun Zhang   +3 more
openalex   +1 more source

Positive solutions for asymptotically 3-linear quasilinear Schrodinger equations

Electronic Journal of Differential Equations, 2020
In this article, we study the quasilinear Schrodinger equation $$ -\Delta u+V(x)u-\frac{\kappa}{2}[\Delta(1+u^2)^{1/2}]\frac{u}{(1+u^2)^{1/2}} =h(u),\quad x\in\mathbb{R}^N, $$ where $N\geq3$, $\kappa>0$ is a parameter, $V: \mathbb{R}^N\to\mathbb{R}$
Guofa Li, Bitao Cheng, Yisheng Huang
doaj  

Existence of ground state solutions for quasilinear Schrodinger equations with variable potentials and almost necessary nonlinearities

Electronic Journal of Differential Equations, 2018
In this article we prove the existence of ground state solutions for the quasilinear Schrodinger equation $$ -\Delta u+V(x)u-\Delta (u^2)u= g(u), \quad x\in \mathbb{R}^N, $$ where $N\ge 3$, $V\in \mathcal{C}^1(\mathbb{R}^N, [0, \infty))$ satisfies ...
Sitong Chen, Xianhua Tang
doaj