Results 41 to 50 of about 8,131,330 (355)

Normalized concentrating solutions to nonlinear elliptic problems [PDF]

Journal of Differential Equations, 2021
We prove the existence of solutions $( , v)\in \mathbb{R}\times H^{1}( )$ of the elliptic problem \[ \begin{cases} - v+(V(x)+ ) v =v^{p}\ &\text{ in $ , $} \ v>0,\qquad \int_ v^2\,dx = . \end{cases} \] Any $v$ solving such problem (for some $ $) is called a normalized solution, where the normalization is settled in $L^2( )$.
BENEDETTA PELLACCI, ANGELA PISTOIA, GIUSI VAIRA, AND GIANMARIA VERZINI   +3 more
openaire   +4 more sources

Effective-Mass Klein-Gordon-Yukawa Problem for Bound and Scattering States [PDF]

, 2011
Bound and scattering state solutions of the effective-mass Klein-Gordon equation are obtained for the Yukawa potential with any angular momentum $\ell$.
Abramowitz M., Altuğ Arda, Ramazan Sever, Yukawa H.   +3 more
core   +2 more sources

Existence of normalized solutions for the coupled elliptic system with quadratic nonlinearity

Advanced Nonlinear Studies, 2022
In the present paper, we study the existence of the normalized solutions for the following coupled elliptic system with quadratic nonlinearity −Δu−λ1u=μ1∣u∣u+βuvinRN,−Δv−λ2v=μ2∣v∣v+β2u2inRN,\left\{\begin{array}{ll}-\Delta u-{\lambda }_{1}u={\mu }_{1}| u|
Wang Jun, Wang Xuan, Wei Song
doaj   +1 more source

Maximum solutions of normalized Ricci flows on 4-manifolds

, 2007
We consider maximum solution $g(t)$, $t\in [0, +\infty)$, to the normalized Ricci flow. Among other things, we prove that, if $(M, \omega) $ is a smooth compact symplectic 4-manifold such that $b_2^+(M)>1$ and let $g(t),t\in[0,\infty)$, be a solution to (
A.L. Besse, C. Bär, C. Croke, C. LeBrun, C. LeBrun, C. LeBrun, C.H. Taubes, E. Witten, F. Fang, F. Fang, Fuquan Fang, G. Tian, H. Nakajima, J. Cheeger, J. Cheeger, J. Cheeger, K. Akutagawa, M.T. Anderson, M.T. Anderson, M.T. Anderson, M.T. Anderson, M.T. Anderson, M.T. Anderson, P.B. Kronheimer, R. Hamilton, R. Hamilton, R. Ye, Yuguang Zhang, Zhenlei Zhang   +28 more
core   +1 more source

Naudts-like duality and the extreme Fisher information principle [PDF]

, 2000
We show that using the most parsimonious version of Frieden and Soffer's extreme information principle (EPI) with a Fisher measure constructed with escort probabilities, the concomitant solutions obey a type of Naudts' duality for nonextensive ensembles.
Chimento, L. P., Pennini, F., Plastino, A.   +2 more
core   +4 more sources

On Normalized Ricci Flow and Smooth Structures on Four-Manifolds with $b^+=1$

, 2008
We find an obstruction to the existence of non-singular solutions to the normalized Ricci flow on four-manifolds with $b^+=1$. By using this obstruction, we study the relationship between the existence or non-existence of non-singular solutions of the ...
Ishida, Masashi, Rasdeaconu, Rares, Suvaina, Ioana   +2 more
core   +1 more source

On finite-difference approximations for normalized Bellman equations [PDF]

, 2009
A class of stochastic optimal control problems involving optimal stopping is considered. Methods of Krylov are adapted to investigate the numerical solutions of the corresponding normalized Bellman equations and to estimate the rate of convergence of ...
A.N. Shiryaev, David Šiška, E.R. Jakobsen, E.R. Jakobsen, G. Barles, G. Barles, H. Dong, H.J. Kushner, I. Gyöngy, I. Gyöngy, István Gyöngy, J.-L. Menaldi, N.V. Krylov, N.V. Krylov, N.V. Krylov, N.V. Krylov, N.V. Krylov, N.V. Krylov, N.V. Krylov   +18 more
core   +2 more sources

Multiple normalized solutions for the planar Schrödinger–Poisson system with critical exponential growth

Mathematische Zeitschrift
The paper deals with the existence of normalized solutions for the following Schrödinger–Poisson system with $$L^2$$ L 2 -constraint: $$\begin{aligned} \left\{ \
Sitong Chen, V. Rǎdulescu, Xianhua Tang
semanticscholar   +1 more source

Nonlinear Scalar Field Equations with L2 Constraint: Mountain Pass and Symmetric Mountain Pass Approaches

Advanced Nonlinear Studies, 2019
We study the existence of radially symmetric solutions of the following nonlinear scalar field equations in ℝN{\mathbb{R}^{N}} (N≥2{N\geq 2}):
Hirata Jun, Tanaka Kazunaga
doaj   +1 more source

Non-Markovian quantum trajectories, instruments and time-continuous measurements

, 2011
The linear and the nonlinear non-Markovian quantum state diffusion equation (NMQSD) are well known tools for the description of certain non-Markovian open quantum systems. In this work, we systematically investigate whether the normalized linear NMQSD or
Krönke, Sven, Strunz, Walter T.
core   +1 more source