Results 11 to 20 of about 809,605 (268)

Multiplicity of Normalized Solutions to a Fractional Logarithmic Schrödinger Equation

Fractal and Fractional
We study the existence and multiplicity of normalized solutions to the fractional logarithmic Schrödinger equation (−Δ)su+V(ϵx)u=λu+ulogu2inRN, under the mass constraint ∫RN|u|2dx=a.
Yan-Cheng Lv, Gui-Dong Li
doaj   +1 more source

A Complete Procedure for a Constraint-Type Fictitious Time Integration Method to Solve Nonlinear Multi-Dimensional Elliptic Partial Differential Equations

Mathematics, 2023
In this paper, an efficient and straightforward numerical procedure is constructed to solve multi-dimensional linear and nonlinear elliptic partial differential equations (PDEs).
Yung-Wei Chen, Jian-Hung Shen, Yen-Shen Chang, Ching-Chuan Tan   +3 more
doaj   +1 more source

Ancient solutions of the affine normal flow [PDF]

Journal of Differential Geometry, 2008
A corrollary retracted, and a remark and some typos ...
Loftin, John, Tsui, Mao-Pei
openaire   +3 more sources

Normalized solutions for planar Schrödinger–Poisson equation with mixed nonlinearities

Bulletin of Mathematical Sciences
This paper deals with the following Schrödinger–Poisson equation with mixed nonlinearities: −Δu+λu+12π(ln|⋅|∗|u|2)u=μ|u|q−2u+|u|p−2u,x∈ℝ2,∫ℝ2u2dx=c, where [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] is a given real ...
Muhua Shu, Lixi Wen, Heng Yang
doaj   +1 more source

Normalized solutions for a coupled Schrödinger system [PDF]

Mathematische Annalen, 2020
27 pages, 1 ...
Bartsch, Thomas, Zhong, Xuexiu, Zou, Wenming   +2 more
openaire   +3 more sources

Cognitive Functioning in Vorinostat‐Treated Pediatric and Young Adult Patients Over the First 180 Days After Hematopoietic Stem Cell Transplant

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Purpose Cognitive and psychological difficulties could negatively interfere with treatment adherence and quality of life before and after hematopoietic stem cell transplant (HSCT). Methods to mitigate these changes may have positive effects on treatment success.
Kristen L. Votruba, Michelle Rozwadowski, Thomas Braun, April Rahrig, Edward Peres, Kirsten M. Williams, Vanessa Fabrizio, Julie‐An Talano, Carrie L. Kitko, Nicolas Parnell, Pavan Reddy, Sung Won Choi   +11 more
wiley   +1 more source

A Global Minimizer for Mass-Constrained Problem Revisited

Axioms
We investigate the existence of solutions to the scalar field equation −Δu=g(u)−λuinRN, with mass constraint ∫RN|u|2dx=a>0,u∈H1(RN). Here, N≥3; g is a continuous function satisfying the conditions of the Berestycki–Lions type; λ is a Lagrange multiplier.
Chun-Fei Long, Gui-Dong Li
doaj   +1 more source

Adjunctive Therapeutic Plasma Exchange in Refractory Adult‐Onset Still's Disease Complicated by Secondary Macrophage Activation Syndrome: A Single‐Center Experience

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Adult‐onset Still's disease (AOSD) complicated by macrophage activation syndrome (MAS) carries substantial mortality. The role of therapeutic plasma exchange (TPE) remains uncertain. Methods We retrospectively analyzed patients with AOSD‐MAS treated with TPE at a single‐center.
Masataka Ueda, Tomohiro Saito, Masahide Mizobuchi, Tomoki Shimomura, Saki Kawamori, Mitsuru Kawanishi, Natsuko Hattori, Jo Sugiyama, Satoshi Tsubata, Hanami Horiguchi, Kazuki Abe, Nao Iida, Yuki Kajio, Nao Oguro, Ryo Yanai, Hirokazu Honda   +15 more
wiley   +1 more source

A fractional profile decomposition and its application to Kirchhoff-type fractional problems with prescribed mass

Advances in Nonlinear Analysis
In this article, we study the following fractional Kirchhoff-type problems with critical and sublinear nonlinearities: a+b∬RN×RN∣u(x)−u(y)∣2∣x−y∣N+2sdxdy(−Δ)su=λuq−1+u2s*−1,u>0,inΩ,u=0,inRN\Ω,∫RNu2dx=c2,\left\{\begin{array}{l}\left(a+b\mathop{\iint ...
Tian Junshan, Zhang Binlin
doaj   +1 more source

Multiple Normalized Solutions to a Choquard Equation Involving Fractional p-Laplacian in ℝ^N

Fractal and Fractional
In this paper, we study the existence of multiple normalized solutions for a Choquard equation involving fractional p-Laplacian in RN. With the help of variational methods, minimization techniques, and the Lusternik–Schnirelmann category, the existence ...
Xin Zhang, Sihua Liang
doaj   +1 more source