Unstable normalized standing waves for the space periodic NLS
N Ackermann, T Weth - Analysis & PDE, 2018 - msp.org
For the stationary nonlinear Schrödinger equation− Δ u+ V (x) u− f (u)= λ u with periodic
potential V we study the existence and stability properties of multibump solutions with …
potential V we study the existence and stability properties of multibump solutions with …
Nonlinear Schr\" odinger equations with sum of periodic and vanishing potentials and sign-changing nonlinearities
B Bieganowski, J Mederski - arXiv preprint arXiv:1602.05078, 2016 - arxiv.org
We look for ground state solutions to the following nonlinear Schr\"{o} dinger equation $$-
\Delta u+ V (x) u= f (x, u)-\Gamma (x)| u|^{q-2} u\hbox {on}\mathbb {R}^ N, $$ where $ V= V …
\Delta u+ V (x) u= f (x, u)-\Gamma (x)| u|^{q-2} u\hbox {on}\mathbb {R}^ N, $$ where $ V= V …
Normalized solutions to a critical growth Choquard equation involving mixed operators
Normalized solutions to a critical growth Choquard equation involving mixed operators Page 1
Asymptotic Analysis -1 (2024) 1–34 1 DOI 10.3233/ASY-241933 IOS Press CORRECTED …
Asymptotic Analysis -1 (2024) 1–34 1 DOI 10.3233/ASY-241933 IOS Press CORRECTED …
Ground state solutions for the nonlinear Schrödinger‐Poisson systems with sum of periodic and vanishing potentials
W Xie, H Chen, H Shi - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
We study the existence of ground state solutions for the following Schrödinger‐Poisson
equations: where is the sum of a periodic potential V p and a localized potential V loc and f …
equations: where is the sum of a periodic potential V p and a localized potential V loc and f …
A sharp Sobolev inequality and its applications to an indefinite elliptic equation with Neumann boundary conditions
M de Souza, DD Felix, ES de Medeiros - Nonlinear Analysis, 2020 - Elsevier
In this paper, we prove a sharp weighted Sobolev inequality on the upper half-space. As a
consequence of this inequality we derive some existence, nonexistence and multiplicity …
consequence of this inequality we derive some existence, nonexistence and multiplicity …
Some inequalities and superposition operator in the space of regulated functions
L Olszowy, T Zając - Advances in Nonlinear Analysis, 2019 - degruyter.com
Some inequalities connected to measures of noncompactness in the space of regulated
function R (J, E) were proved in the paper. The inequalities are analogous of well known …
function R (J, E) were proved in the paper. The inequalities are analogous of well known …