Results 21 to 30 of about 1,014,825 (185)
Normalized solutions for pseudo-relativistic Schrödinger equations
Communications in Analysis and MechanicsIn this paper, we consider the existence and multiplicity of normalized solutions to the following pseudo-relativistic Schrödinger equations $ \begin{equation*} \left\{ \begin{array}{lll} \sqrt{-\Delta+m^2}u +\lambda u = \vartheta |u|^{p-2}v +|u|^{2 ...
Xueqi Sun, Yongqiang Fu, Sihua Liang
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Advances in Nonlinear Analysis, 2022 This paper is devoted to investigate the existence and multiplicity of the normalized solutions for the following fractional Schrödinger equation: (P)(−Δ)su+λu=μ∣u∣p−2u+∣u∣2s∗−2u,x∈RN,u>0,∫RN∣u∣2dx=a2,\left\{\begin{array}{l}{\left(-\Delta )}^{s}u+\lambda
Li Quanqing, Zou Wenming
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Normalized multi-bump solutions for saturable Schrödinger equations
Advances in Nonlinear Analysis, 2019 In this paper, we are concerned with the existence of multi-bump solutions for a class of semiclassical saturable Schrödinger equations with an density function:
Wang Xiaoming, Wang Zhi-Qiang
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The Chern-Ricci flow on complex surfaces [PDF]
, 2012 The Chern-Ricci flow is an evolution equation of Hermitian metrics by their Chern-Ricci form, first introduced by Gill. Building on our previous work, we investigate this flow on complex surfaces. We establish new estimates in the case of finite time non-
Ben Weinkove +15 more
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Univalence of normalized solutions of W″(z)+p(z)W(z)=0
International Journal of Mathematics and Mathematical Sciences, 1982 Denote solutions of W″(z)+p(z)W(z)=0 by Wα(z)=zα[1+∑n=1∞anzn] and Wβ(z)=zβ[1+∑n=1∞bnzn], where ...
R. K. Brown
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Normalized solutions of Kirchhoff equations with Hartree-type nonlinearity
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 In the present paper, we prove the existence of the solutions (λ, u) ∈ ℝ × H1(ℝ3) to the following Kirchhoff equations with the Hartree-type nonlinearity under the general mass supercritical settings, {-(a+b∫ℝ3|∇u|2dx)Δu-λu=[Iα*(K(x)F(u))]K(x)f(u),u∈H1 ...
Yuan Shuai, Gao Yuning
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Quantum parametric resonance [PDF]
, 2001 The quantum mechanical equivalent of parametric resonance is studied. A simple model of a periodically kicked harmonic oscillator is introduced which can be solved exactly.
Weigert, S.
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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 +2 more
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Normalized solution for a kind of coupled Kirchhoff systems
Electronic Research ArchiveIn this paper, we investigate the existence of a normalized solution for the following Kirchhoff system in the entire space $ \mathbb{R}^N $ ($ N\geq3 $): \begin{document}$ \begin{align*} \begin{cases}-\left(1+\int_{ \mathbb{R}^N}|\nabla u|^2dx\right)\
Shiyong Zhang, Qiongfen Zhang
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Remarks on the spherical waves of the Dirac field on de Sitter spacetime
, 2006 The Shishkin's solutions of the Dirac equation in spherical moving frames of the de Sitter spacetime are investigated pointing out the set of commuting operators whose eigenvalues determine the integration constants.
Abramowitz M. +5 more
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