Results 281 to 290 of about 91,052 (310)

Focusing on a line for nonlinear Schrödinger equations in $\mathbb{R}^{2}$

Asymptotic Analysis, 2000
This paper is devoted to the study of a semi‐classical NLS equation with a small parameter ε in two space dimensions, with oscillating data that are highly oscillating in one direction only, with the aim of modelling geometric optics with a caustic consisting of a line in $\mathbb{R}^{2}$ .
openaire   +2 more sources

Standing waves for a system of nonlinear Schrödinger equations in R N

Asymptotic Analysis, 2016
In this paper we study the existence of bound state solutions for stationary Schrödinger systems of the form − Δ u + V ( x ) u = K ( x ) F u ( u , v ) in  R N , − Δ v + V ( x ) v = K ( x ) F v ( u , v ) in  R N , where N ⩾ 3, V and K are bounded continuous nonnegative functions, and F ( u , v ) is a C 1 and p-homogeneous function with 2 < p < 2 N / ( N
João Marcos do Ó, Olimpio Hiroshi Miyagaki, Cláudia Santana   +2 more
openaire   +1 more source

Asymptotical Behavior of Solutions of Nonlinear Elliptic Equations in $\mathrm R^N$

Zeitschrift für Analysis und ihre Anwendungen, 2001
In this paper we study the behavior near infinity of non-negative solutions u \in C^2(\mathbb R^N) of the semi-linear elliptic equation – \Delta u+u^q – u^p =0 where
Grillot, M., Grillot, P.
openaire   +2 more sources

On multi-bump solutions of nonlinear Schrödinger equation with electromagnetic fields and critical nonlinearity in $$\mathbb {R}^N$$ R N

Calculus of Variations and Partial Differential Equations, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liang, Sihua, Shi, Shaoyun
openaire   +1 more source

Strongly damped wave equations in R^3 with critical nonlinearities

2005
We investigate a strongly damped wave equations in R^3 with critical ...
CONTI, MONICA, PATA, VITTORINO, M. Squassina   +2 more
openaire   +3 more sources

Efficient quantum algorithm for dissipative nonlinear differential equations

Proceedings of the National Academy of Sciences of the United States of America, 2021
Jin-Peng Liu, Herman Øie Kolden, Hari Krovi   +2 more
exaly  

Nonlinear Ordinary Differential Equations (R. Grimshaw)

SIAM Review, 1994
openaire   +1 more source

Nonlinear Fractional Schrödinger Equations in R^N

2021
openaire   +1 more source

Nonlinear Differential Equations (R. A. Struble)

SIAM Review, 1962
openaire   +1 more source

A connection between nonlinear evolution equations and ordinary differential equations of P‐type. I

Journal of Mathematical Physics, 1980
M J Ablowitz, Ramani A
exaly