Results 31 to 40 of about 320,316 (300)
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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Normalized solutions to a non-variational Schrödinger system
, 2023 We establish the existence of positive normalized (in the $L^2$ sense) solutions to non-variational weakly coupled elliptic systems of $\ell$ equations. We consider couplings of both cooperative and competitive type. We show the problem can be formulated
Clapp, Mónica, Szulkin, Andrzej,
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Normalized Solutions to the Fractional Schrödinger Equation with Potential [PDF]
, 2023 This paper is concerned with the existence of normalized solutions to a class of Schrödinger equations driven by a fractional operator with a parametric potential term.
Jiabin Zuo +5 more
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Advances in Nonlinear Analysis, 2022 In this article, we consider the upper critical Choquard equation with a local perturbation −Δu=λu+(Iα∗∣u∣p)∣u∣p−2u+μ∣u∣q−2u,x∈RN,u∈H1(RN),∫RN∣u∣2=a,\left\{\begin{array}{l}-\Delta u=\lambda u+\left({I}_{\alpha }\ast | u\hspace{-0.25em}{| }^{p})| u\hspace{
Li Xinfu
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Normalized solutions of mass supercritical Schrödinger equations with potential [PDF]
, 2021 This paper is concerned with the existence of normalized solutions of the nonlinear Schrödinger equation (Formula presented.) in the mass supercritical and Sobolev subcritical case (Formula presented.) We prove the existence of a solution (Formula ...
Molle R. +3 more
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THE ABUSE OF NORMAL SALT SOLUTION [PDF]
Journal of the American Medical Association, 1914 The presence of a relatively large proportion of sodium chlorid in our bodies harks back to the composition of sea-water at the time when our ancestors were ameboid inhabitants of the primeval ocean. To a certain amount of sodium chlorid our organisms are habituated, and that amount has become essential to our well-being; larger amounts, however, are ...
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A comprehensive review on the existence of normalized solutions for four classes of nonlinear elliptic equations [PDF]
Opuscula MathematicaThis paper provides a comprehensive review of recent results concerning the existence of normalized solutions for four classes of nonlinear elliptic equations: Schrödinger equations, Schrödinger-Poisson equations, Kirchhoff equations, and Choquard ...
Sitong Chen, Xianhua Tang
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Combinatorial solutions to normal ordering of bosons [PDF]
Czechoslovak Journal of Physics, 2005 Presented at 14th Int. Colloquium on Integrable Systems, Prague, Czech Republic, 16-18 June 2005.
Błasiak, P. +4 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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The normalized matrix perturbation method [PDF]
, 2020 In 1926, Schrodinger supplied the theoretical basis for analyzing the time evolution of a quantum system through his famous equation that now bears his name. Soon after its advent, an intrinsic interest emerged to get exactly solvable models by using the
Braulio M. Villegas Martínez
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