Results 21 to 30 of about 73 (73)

Resolvent and Scattering Matrix at the Maximum of the Potential [PDF]

, 2008
2000 Mathematics Subject Classification: 35P25, 81U20, 35S30, 47A10, 35B38.We study the microlocal structure of the resolvent of the semiclassical Schrödinger operator with short range potential at an energy which is a unique non-degenerate global ...
Ramond, Thierry, Alexandrova, Ivana, Bony, Jean-François   +2 more
core  

The existence and multiplicity of L 2-normalized solutions to nonlinear Schrödinger equations with variable coefficients

Advanced Nonlinear Studies
The existence of L 2–normalized solutions is studied for the equation −Δu+μu=f(x,u)  inRN,∫RNu2dx=m. $-{\Delta}u+\mu u=f\left(x,u\right)\quad \quad \text{in} {\mathbf{R}}^{N},\quad {\int }_{{\mathbf{R}}^{N}}{u}^{2} \mathrm{d}x=m.$ Here m > 0 and f(x, s)
Ikoma Norihisa, Yamanobe Mizuki
doaj   +1 more source

Infinitely many periodic solutions for ordinary p-Laplacian systems

Advances in Nonlinear Analysis, 2015
Some existence theorems are obtained for infinitely many periodic solutions of ordinary p-Laplacian systems by minimax methods in critical point theory.
Li Chun, Agarwal Ravi P., Tang Chun-Lei
doaj   +1 more source

Construction of Solutions for Hénon-Type Equation with Critical Growth

Advanced Nonlinear Studies, 2021
We consider the following Hénon-type problem with critical growth:
Guo Yuxia, Liu Ting
doaj   +1 more source

On the solvability of discrete nonlinear Neumann problems involving the p(x)-Laplacian

Advances in Difference Equations, 2011
In this article, we prove the existence and uniqueness of solutions for a family of discrete boundary value problems for data f which belongs to a discrete Hilbert space W. 2010 Mathematics Subject Classification: 47A75; 35B38; 35P30; 34L05; 34L30.
Ouaro Stanislas, Guiro Aboudramane, Nyanquini Ismael   +2 more
doaj  

Large Energy Bubble Solutions for Schrödinger Equation with Supercritical Growth

Advanced Nonlinear Studies, 2021
We consider the following nonlinear Schrödinger equation involving supercritical growth:
Guo Yuxia, Liu Ting
doaj   +1 more source

On fractional logarithmic Schrödinger equations

Advanced Nonlinear Studies, 2022
We study the following fractional logarithmic Schrödinger equation: (−Δ)su+V(x)u=ulogu2,x∈RN,{\left(-\Delta )}^{s}u+V\left(x)u=u\log {u}^{2},\hspace{1em}x\in {{\mathbb{R}}}^{N}, where N≥1N\ge 1, (−Δ)s{\left(-\Delta )}^{s} denotes the fractional Laplace ...
Li Qi, Peng Shuangjie, Shuai Wei
doaj   +1 more source

Some existence results of multiple normalized solutions to critical Kirchhoff–Choquard equation in RN ${\mathbb{R}}^{N}$

Demonstratio Mathematica
The paper intends to prove the existence of multiple normalized solutions for the critical Kirchhoff–Choquard equation, and the main feature of our paper is the simultaneous appearance of critical term, nonlocal term, and potential function, which will ...
Liang Sihua, Pu Hongling, Zhang Xin
doaj   +1 more source

Asymptotic properties of critical points for subcritical Trudinger-Moser functional

Advanced Nonlinear Studies, 2023
On a smooth bounded domain we study the Trudinger-Moser functional Eα(u)≔∫Ω(eαu2−1)dx,u∈H1(Ω){E}_{\alpha }\left(u):= \mathop{\int }\limits_{\Omega }({e}^{\alpha {u}^{2}}-1){\rm{d}}x,\hspace{1.0em}u\in {H}^{1}\left(\Omega ) for α∈(0,2π)\alpha \in \left(0 ...
Hashizume Masato
doaj   +1 more source

Multiplicity of solutions for singular superlinear Kirchhoff equations involving indefinite potentials

Open Mathematics
We are concerned with the multiplicity of solutions for the singular superlinear Kirchhoff equation involving indefinite potentials−1+b∫R3|∇u|2dxΔu+V(x)u=λg(x)u−γ+h(x)upinR3, $$-\left(1+b\underset{{\mathbb{R}}^{3}}{\int }\vert \nabla u{\vert }^{2}\text{d}
Lin ZhiRuo, Lan YongYi
doaj   +1 more source